24
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CJOIJ- q:lch vlJX; 1tp6o:; TOe; Il£XPl Or,Il&POV 0001- btl £mOTllllovIKWV Kai £PYOOT'lPIo.K&V I-I &AttWV, 1(0- Kai £ni rrOpOT'lPr,O'£rov "'oi nElp0l-latrov £V C:PUOEI, K09 ' oO'ov ycvn::&<; .0 npo!l A'l IlO otv hEI daft! nMwwo:; Emt.u9f!. ,T')v c:puO' lv umipxol.lII oUlrpopol Ilopc:pai o lcnopa xwv T f')C; i]- PEIlOUO'Ilt; £K tol) YEVEOlOUp- yol) oiTiou, to onorov OUVOTOV yO: OCPe:LAEtal tio:; Iliav unox96- Vtov ureoOp uXlO VEKP'l/;,IV, Eic:; IlEt EWPOAOY IKcl C:POLVOIlEVO KAn . · H aUv'l9EO«:PO OIlWC:; 1l0PC:Pi] olQtapaxflt; tUlV UOcnj ll(.i)1I plwv T1) o:; 9aAaO'o'lle; 0C:PElAtTaI tic; tl']v Eni05pootv TG:l V avE:llwv. 1. Eie; I-lia v nEploxl'lv tflt; rilt; q":OIlOVIKI'] rri&Ole; (iO'oOo.pi]t;) nINA:O tile; 81' evo o[ov05';no,E AOYOV (n,x, AOY'P Olo.C:POp!lo:; O EP I-IOlCpo.OlOO:;) OX'lIlO U 'V'lAOV OapOIlEtpl",6v ree05lov , OUtOCl, rcp6e; £SiOWOlV 'r : 10:; Olo.qlOpat; ,&v BaPDIlEtPlK61V m€:ot(.i)V TOO U'V'lAOlJ Oo.POI-I£tpIKoD Kat toov lO'o!lapOIlEtplKlOv o.OtoO reEoi(.i)v , reapa,TlPoOv1'01 nOA. ACnne; ,.u:yw..ol IlHo.KI- V'; OEIe; eu:PH. OOUlV RPOO:; OAtu; nIO:; Konu00voEl 0:;. KIVtlO€le; tlOv ue:pl(.i)a<i'.lv Tile; o'rl-loO'c:po.ipoe; Ko.A.O\)IlEV «'AII&IlOI.lO:;I). '0 Minikin O:vo.cptPEl Otl, Mv E io:; I-l io.v rce:PlOxi]v til e; yflo:; reAo - 60 N. M, £n:ltEI.lXOU Ilia aUf,'lO'lO:; tile; lCI£ C H: WO:; KatO I mb (I bar = 1 b ,= 10' dynes/C:Mi = 750mm Hg = 1 O:lllooc:poIPa 1 rnb = loa dynesjCj \P = } 0111) Hg) OVo.RtUo' aEtal eAo.c:ppa Kiv'lOlC; aV&IlOI.l. Ka ta 2 mh Ti ioxuo:; TO\) O:V&- IlOu tOXi:wC; Ko.( Ko.'rO: 5 - 10 mh 0 aVEIlOO:; rcapol.lm6- iOX UpOlo.tTlII 6UllalllV, 'H Erciopomc; tWV aVEIlWv hi tflo:; tAEv9tpoc; £n:lc:povEiru; tf')c; OaAo.aa1) e; , npOl. :aAEi, A6Y41 lpIOile;. EAac:ppae; 1\ tox upat; aleno- 'ril e; VllOlllllle; M.v lluvav,o.t OIlWe; auml . va KaOo- pto90i)v Ka,' oKpl.BfI tponoll IlE v lel OUvO: l-IEVO va IlE1PTl- 90Dv mOlXEIo. 'rOD u.1I£I-I0V, lile; 1tl EOEroc:; KAIt " 1(0.0' Ooo v reoA- Aoi 0:01691ll1tOI It0P0 -Yovu:C; £mop oDv En! ll o pC:Pilc; tf')e; 010- lopaxilc:; (EK'lQO'It; €7tlc:povEio ::; 90ACtao'le;, 00.9 0e;, rev8l-1ijv, KU- d . .(I)v ll(oi lmonltoEIC:; K1A .). ·0 Be a uf o rl f;W;IV6pIOE lUe; £vrelOEle; loD aVEIlOV Kat OUVCtOsE tOV ntVOKO I, Oal lt; £KAile" Bea ufort. rcEPIAOI-I!l6vwv 13 (0 ewe; 12) clVtl010lXOUOOt; Elt; 13 1l0PC:POt; £v t6oEwc:; tOD ci VE I-IOU. Beaurorl TOxUlfle; 'ApI81-\6 C; MEW B oAOi 10i) MEtO!lOAoi lOU W Beaurorl W O:lItllOU clllE;IlOU I o.VEIlOU B tcD O:VE.IlOU -L .. o ' HPEl-ilO I 7 LXE66v 6uEAAa 35 I 'CAQ<Pp6e; aVEIlOe; 2 8 0ueA.Xo 42 2 ' EAac:ppo au po 5 9 'Ioxupci 9UEAAO SO 3 ' Hn[o oupo 10 10 AoiAaljl 59 4 M£lPIO oupa IS II ' Joxupo. Aa(AOIjI 68 5 .6.pooepci oupa 21 12 KotQlyie; > 75 6 ' Io xupo. oupo 27 n.m / h .= NOUlIKc'l MiAIO o:vo lOpav (l nm I8 53 , 182m) Vii = Mea'll lOXUt 1)e; 6:VE I-I0 U F.ie; n.m./oopav. .6.1' baOl'lV 13a.91-11050 tile; KAil-lOKOO:; UVlIO"lOIXEl Ka; Ilia IlOP- c:pi] OlatOpox f') t; toD o.VEIlOU I(ot tfl e; 9a)..oaa'lt;, npOKOAOVI-I EIIWV i51lWi; i.ntb I-Ilne; tOXUt1)lOO:; 6v£l-Iou tfle; orcolo e; fl 111-1 1\ AE10 I EI :; aXEHKlOc:; EOP£ O reAalato, • 'Eytlrv"'OrL TO 1930 El' · Hpil d .£lov KP"'TrL t; . -El.oOf.: OOAlQ- 11:0(\ M'lXQ" II(Oll TOO E ,M . Il . 1 954 , ' AcrX0J...Elt CIi o.l'fO 6wli£O:QUlo, )It tll" I(Qi t tLv ir.I P).tl(.l lv A IIJE VII(UlV -E.py wv tv rlj'l AI)ltv! 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Page 1: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

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436 loulo~ 1970

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~ = ~D C uu ~ lto L = )I uii UIU(

~1 up TOU 1lt IUTD

0 To l) V 0 C ~ I lgt poe 0 0 I( U 11 U C 0 ~ H = n KQtalC6shyPIl(POC cin6OtaOLC )lEtaU KOPUcp f]o Kai lt050~ [011 tupUtO~ (I I to Ojlo~ d lt Sae oe nu91JEVOC d cc Kal Hd de pulJ0C l1U~ BjJholt

p M 11 K 0 e tOe K U ~ 0 [ 0 e L Ii 6Pt~OvTia 6n6otaOl t U tu~u 800 OIUOOX I KUlV KOputpclv tl ltOOWV tOU KUlJatoc Kill (L = de 6nl tpov pu9olt Ld = Elt PMtoe nu6JJtvoe d)

fmiddot n pound pia Ba C 1 0 ) K U IJ 0 TO e T = ~ XPovlKq SI6pshyEla BU~AtU(ftt~ amp00 SIOOOXIKWV KOPUIpillv f noampi)v toO IUshyI-atoc tK t o() aot oO OlllJdou

Tu ~flUttPEOOVtO x apolC111P10TItU ltJToIXEla roO Kl)Jlato rlvOt

o l l EU eu v 0 I lt r 0 () K U JJ 0 TO C ~ oldOuvote KO rel tq v Onolav tO~tSEUOOV 01 KOPUltoo roD KUjJOtOe

fl T a X UT TJ ~ )l E ta 0 6 a E 00 T O e K U jJ Ot 0 r C- ~ =

= ~ r axutTl e nopElac TGgtv KOPUqxUV KOra rlv onu9uvOlV t oC Ko~a[oe

middot H( K u p r 6 t n C T a C K U )l a t 0 C u = 17 = I uvaA-oria

)lEtau UjIOUC Kat ~i] Koue TOO KUjJOf~

o A v 6 It t U ) jJ a t Ggt v IC U jJ Ii t 0) v F H K(1t tuSEiov Kat Ka1(1 nlv OIE69uvcnv IJ EtOOOOFfigtI toO KUjJO[OC oJtOataOl ~ jJctUsU rf C BOA-occia ItCPLOXi1 ~ I5 paoEooc toO (EvtOlOUpyou UiT~OU Kal TfI a KT1e dltpt~EWlt TOO KU)JOtOr aVEU 1taPEIJ~OAt)C poundjJltOO(OU

I K 0 p U cp 0 ( P a ~ J1 I t 0 i) K U jJ 0 t o ~ middotH Ypa )JjJq ent lIb onoae EupioKOVtOl 6noool al Kopultooi O~ ~6pjJa tOC tOU KUlJatCgtC

lICt va 1tapox811 pound~ a vtlJou eva KOIJO SESO~VroV OtoIXE[WV H L T Kn( OOPIOptVTJC cvep)uicu anatrettal )lio inap -lC SaAaOO(O El(tu(JJ btKaOO)V dx Pt dioJITj KOl XIAILliltlv jJl shyAirov po9euro0 C nuOJJlVOC Kai livtu poundjJnolHwv

dta 1tEPtooP10~~vaC 9aAaooioo ApoundICavoc a 1Jpound(lcrtCLI [ljJoi tmV OtOLXEcuV toO KU~(lT() t Vo l nfpICilplltJp tval avc~l1ptiltWC t o O 1Cmiddot(ov6[oe tov ft EvtOOIC toO UVeuroJ10U ccp9aOEv ii OX l [TlV jJEshy(iOTTjV tl)li]v te

To KUjJara [0 aV01trucrOO)l~(1 Etc tlv m jlIOXTIV Olutapaxflc KaitOt napou(JJli~ouv 6jLOLO~Oprpov tp6nov 01o860100C Ioat 6shyjJOLollopqm X(lpof(tllPIOTII(U Uv TOutOlC OnOVLCl)C av oxt no rC) ltjlBavouv amp1- nlv at~v Ot6t1 to OtOIXllt u t(i)v OPXIKWr 1tapCL)O~ jJlVJV tUluitfJ)v itv dVUL Ttl aoto H oVIOOIlEtpO oGTll tGgtv acolXEiwv oiv 6cpElAEtal IJOVOV sllt t6 (EVEOtOUPf OV aitlov ciA-AU Ked Eie tTlv tllnoypaltp[av t 1c nlJ fHOX~C EIC t6 paeoe tOO nue~uVOC tlv (DUOlV trov tlKtlUv [tI l jJEtEooPO AOY II(Q cpatvu~Eva K tA OUt(l 1tapa(ovtOl KU)lOtO KOe 6~1us0 ta~louIlVl0 OlOrpO PlttlK(uV ujIGJv Ka nO~KIArov jJTJK(i)v Ele lel l3uOta ~liato Tn ~L(lKPUtrpO KUjJatO tU~ISampUoOV t UXUTcpa tai arpOJllIUWllOV f npoo1UpVOUV niAOlO)~U~V(l Bla jJpoundCOO tUlV PPOXUtpoundpoov (ta 6nolu nnooptvvUVtOl) ~v0 lSJtto9EV ootllW OXT)jJoTicuat iDvAO Ii)t-IO

Ai aUllnOAui ofm) T6)1 KtlJI(mllv dvat cuxval Kui VOV tUl ton-rU lv td Cllt UKUVOVIOtOV tp6nov OUTW~ worp iU)()fU JJCv vIi nl)OKlm fll )lqwutlPOV KUJIU UAAOt8 6t va Ouvtd ~tal nIi shyJgtII~ a1toappoundOIlt QUnilV H poundKTi1cnt oaF-V taw 1tMov UOIlEmiddot

--

411 ouAlot 1970

nINA= 3

middotAvO~ I - -f--- shy

12 ilipal6Uval~ I K6P~ I6 ropal

--~--~--~----~shy

L c1 c 1 H L I L HL i e 3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 7 2-5 60 10 5

120 15 8 230 21 12 320 24 17 410 28 23 550 32 1 30 670 35 I 37

M~ I 11 140 16 270 22 410 27 560 32 740 36 900 43

5 9

14 21 29 36 50

75 12 150 17 180 23 470 29 680 35 900 41

1150 46

5 MAX 10 MAX 15 280 23 15 23 480 30 23 33

4255

I

690 950 900

36 42 47

1 I

33 44 56

L = ~fllo~ KUjWOo do R60la (J K6J1~00 = 1 nm C = uxUtn do KOIlPOOo ova 6tpav H = JWOO KUllaoo do noblo

nINA= 4

MECol)oAat tGlv KOllcurov ouvapniOEI 00 AvontIYlla-coo F

yen AVElla Av01ttu)IlQ F dO nm-1------ -shy- 10 50 100 500

------ I c L c H L c H _1-_1 __ L I c L~_

3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 40 75

110 140 180 210 250

7 9

12 14 16 18 20 21

65 125 210 260 330 420 500

H L tio n60lCl Kui C Eio 1(OJlPOOO avO oopav

v(J)v KUllaWVa oRola RkJinouv to 80AuOOIQ epyo elVal 1(at O1tOUoa[a Kat 000)(0)00 1la 0CtO Ou6~ 1(awqJtuyolltv de 61tAoltOlnOElo lctlV ItPOPATlIlCltCuV Koi dO un pound68ELao rraposhytnpllOpoundto Kat KOtoypocpn~ tl)v CTo lxpoundirov I)v 90poundAAwol)v ICUshyIlntwv

To ilwo taD KUllatOo E~CJptotat illo poundIvai qlUOUov aRO to oishyHOV 1tClpaywyflo 1011 Kat Iampv 0mKI)v OUv9lKI)V Stv ElVOt 6Wuo oOVO-l60 fiui t au 6vWlE pw 6vacppoundpo~VOlo AOy oult6 JJOshy9111laTI1(60 OrrOAoYlOJOo ou Au) teD to KUtaqJEUYOJtv poundIt lJashyKpoxpovl ouo KUWjlttpTiOtto OOtoO t ti EIl1tpoundlptKOiu lurrouo Elval pE[3alov nelvtuk Kai tODTO tXpound1 onooetx6fl OOOV EIC noshypaTllPJiOpoundWV poundlc niv (flUcnv 600v KUl EV l Ep)oOlnpicp chi Ilt~ (hvo ~~up161Ql lmo l1)v tUXUTlTO toO UVEIlOU l1)v )uipshyKELOV aOTOI1 1C01 h 00 uvarrtUylJoToo 100 KUjlUlO O 0 Steshyvenson fiHipoundl TOUO nvu1(poundt )KOt 4 01 Orrotol KUTanpOaEYYlOlV 511ioov to OlolxEfa H L Koi C 100 KUIlUtOO nvoAo-y~ lfe EVshylaOpoundooo 100 aVEllou OUVopTiOEI lfl~ OIUPKpoundio~ roD avtjlOl KOl taD avanmiddotnmlQIOo toO lCUIlUlOO oVTIOTOi Xroo

OoVTWI 016 t6v Ko90Pl01l0V Toll UWoue ToD 1C0lloTOo pound(fl OOOV btv tmapxolv rcpaYjlu1tKal Kuoypacpui (oui naAllo-yp6rprov) ot KotWTEpOO I(mol IOl) Steve nson lonavouv poundUptlUo ECPUPshyJoyfl Kui poundVOpoundiKVOlat va XPTlOLllonOIOOvtoL

H = 045 1F 0 F gt 50 In H = 045 VI -r (075 - 030 1f) Oil F lt 50 nnI

l H eo m F = tl~ VOl1tKCz 1JiAlo nm)

I I

I II 15 20 22 25 28 30 I

4 7

12 15 20 25 31

-75

150 260 350

450560 650

I

I

12 17 22 25 29 32 35

5 10 14 19 25 32 40

280 480 690 880

1100

23 30 36 40 45

15 23 J3 44 56

0 Larras ciVOqJEPpound1 TOU KUTrotEp(O Imouo J

H = 037 11 L = 3J 11 H = 120 VF

( H Kal L dO m Koi F poundto Km)

or Im01 OU10l poundIVUl KOl uUloi KOTa npOOEYYIOIV Ioi onovlux O1lIlqxtgtVOOv 1Jpoundulu TroV 01611 to (l Wegtlt 00 KVIl010o 8EV ~~apshyTOtol 1l0VOV tK LCD irvOfttlryjloegtlt 6AMl Kol h Toll aVEIlOlJ

-EIpoundpo v lunov OUVUPTtiOEL lfe mXUtntoo ToD elVEjlOU W tlo TlV aUTJiv Coovrv OXlIlUIIOIl00 tol) KUJCl[Oe oi5EI 6 Larras TOV H = 0025 W~ (H poundto m Koi V Eio mscc)

Kul 6 Tunoo 00100 ~O)Jov Mv OujlqJoovEl navTo[pound IlE 1(10 nClpashyl1pTOpoundIO St6tt H) IlhIO[QV UIIOO toO KUlloTOO OEV pound(VUI COvOpshyIl010 1l0VOV 1110 [Q(tJUIO~ V 0))0 Koi flt olapKEiao nvofle toD oVEJ100 Aiel nEpLWplOIlElQo hTtlaEIe 05- 200 Km Koi npoundshyPIWptOjlEVa Pa6l 6 Darbushire OlOpound1 to IlpoundYIOTOV 01100 Kat ltv npoundpiooov oln lGlv EIlJtpoundIPlICGlv UltWV MA X 1-1 = 00076middot y Wl

T = 164 yyw Evea W it [QXUTTlO loD 6vpoundlloo poundi III sct

F + 3F~ + 66 F y = P o liP r 260F + 80

6nol F = 16 6VU1tTlYfjlO TOO KUIlOTOO ei Km

TXVtkO XpOVlkG louAlor 1970

EIC t WV Qvwtpoundpogt 1tlvQICWV dVOl (pOVtopOV 6ll I tTr(tEU~llt tampv )IEyicrroov tl)lGlV tampv (HOlXEWV )I11KOOlt iilvoult nEploSoO KO tOXUtTltOl TOO ~OtOlt Sty t~UptGlVtal )IOVOV h Tflt evtoshyaEOJlt tOil ovtjJOU Kol b tOO OV01tnJY)lOto~ tOO ripOtOt oA)o ICol h t1lt 8IapKpoundialt 5pQ(JampOJ~ t oi) Oveuro)IOO KUpiogtlt 6t t06 npwshytau l6Wpou Ei e tfl v tKtilJTlatv ogev TOO IJEYIOtOU 6VOUt TOU aoJJlOtOlt 0 Jl FApoundlTllfl MTlXOVIKOlt npenEI vii Elval Aiav npoaEshyKtIKOt wate Sui (J)JlnAI1PWlJotIKWV nopotI1Primwv fl atOI shyXClWV va tMY~l] TO ~K 1ttlV poundJlnClpuGw tonwv (moAoYIlojlevov ~Ylatov UWOC toO Kraquo)I010lt middot YnEpEKti)lI1Ol~ roi) )IE- i arou iVo~ anOtdE[ anOt(lA11v tv(p ri unolill11Ol~ 011)110upycl Kivshyouvov KOToaTpocpfl~ toD ~Pyou EnlopaUlv poundnia11~ tnt t oO jJEshyt iCTtI)u UWOOlt EXEI Kat to ~90r tOO no9)1tvo~ AKOjl11lO )I1K~ 100 KUjlOtOt aO~IPaAAEI UoCPPampt cllt triv aVa1tlU~IV tOO IJEyishyOtOU uVoult olon npoj3oAACI np6lt tOV iiVEjlOV )IEyaAulepov tntqgtOVEIOV KOt )IaAlmO ouxl 6plovtlav

To OV~ Mev 100 K)jlalOt O~oVEI auvEX~ )Ie lli v SIOPKf trri opaaw toO OV()IOO cpSoVEI SA tnV JlpoundYicrrv H)Itlv lOU JlEshy

10 ano SIUPKEIOV SpaaEWlt 100 OvpoundJlOO 10 1H rupG (to H pound1lt m) i) 16 W IDpOOV nEplnou (V tIlt JleurotpO civa sec)

TO KU)Iato ano)loKpuv6)1EVQ t~e ncploxfle YEvtaEcllI tWv apxi~ou ppobtwlt va XclVOUV EvtPYCIOV ACrt41 tf~ OvtlcrtaaEUgt til UtjlOCTCPOLp0lt toOtO ot npoKaAti )IEta(klAflv pound1e tOV tunav tOO tru)lOlOlt )IEicooIV tOO OWOUC Kol cr(j~tOLV tOO )InKOUC OUshyTOO OOt W tvo KO)lO H = 45 mL = 90 m Kol T - 7 sec IJEUi ano Siaopo)l l)v 2000 n m Eupe91 Jlt ltrloIXpoundia H 06 - 15 OIL = 400111 oi T = 16 spc EVSE1KtlK(blt a voq)tppoundtOI (5(1 KOro npoatY-Ylalv ro KO)lo xovrt to 23 roll 611OUlt 100 Jlucl ono tr) v 1)taopo)lr) v r~v npdHWv 1000 Km tv auvpoundXpoundq Se )IEIOOral t o Evuno)Jivov UWolt avO 51aSpOjll]v 2000 Km KaTe) 20 ~OCfoV ala middott1V JJctoj3oAflv t(bv atolxpoundiwv TOO IJ~KOUC toO KU)IotOlt Kat rf]t nEpl6800 autou mom j~(iPt(bVtOI 6n6 tflV lUXUt11tO toO c1VpoundIJOO Kat ano tl~V neploxriv tnt 1~lt 6noia~ opo 06tOlt

-4 AvQuau rilt 6la66olWt kal OX~Q rilt tm+QYdat TOO kU~QTOt

41 Aut p6Go nuGJJflOlt d OJ r

Oi npWlol aaxoAIIStvn~ IJE rfl v aVaAuatv toO llXQVta)loO t(Uv KOJlCltWV t(i)v OIOOtOOJlpoundVltllV tvt6lt p09t~ CSaloc flaav EIlt lru BpettQvtKU~ vftcroue o Robertson Scott R us1 Kat iry cit tilY rtPIJUVlUV a yenIbe r dt ra)av o Bcrlm Boussi nesq oi Debc lI01ze Kai tv A OCftpiq 6 Gers t ner

npci)tOt 6 OersLn er ( J 802) ~ 00 Ku i n ovo)laaia I(KOJJO G I I~ ln e r )) tlvpoundn w ll tflv 9Ewplav IJEtaS6alwlt t(Uv od(i)v KUAIVSPIKOOV lOJ)I cnwv hi anEipou J1i90olt )Cal f ScooE t e JlU shy9TUIUllKIlt poundtIOli)aCIt atttVEt auv5touv r6 6110lt to Jll1KOlt Kul rflv ntplooov t(i)v KOllnwv aro9Epo(j runoo H SpoundOOpla roO Gerstner lmpF OOIWSll 1)10 nElpOjllhwv Ele tnV A Aypoundp iov uno roO A i to 11

( A rrAoCv KUAtVOPIKOV KGlJa KOA6itai fI o l uooalt fvt6lt rOu xwPOU )Ie ataSEpaV ~ a X U t 11 to K a i Ci v E U pEt U P 0) Tj c toO cr X ti JJ a t 0lt JJLa ~ rreploSIKft Klvi]aEWlt anpoundpl opfa tw e avan 0 pay a JJ e v t t II

T o 6nAOUotampflOV t (bv KUlJalCll V livQl ro OI06106)IEVOV hi ushyn~ipou t a ra9tpoO PlOovc Kal wi) onoiou al KoputpuypaJlJlol poundivot K0gelOI tni ti)v OtEOSUVOlV 10(j Kraquo)Iatolt

T o oVCaHiput Ki)Jln i ICAi]O1 Kai laquotpOxoE10ilt~ 510tl t o xvoe tTjlt UpounduOipae bupa veio auto) ampival tPOXOEIO~e KUJJn()n filL 6-w yywatov Y(Iacpp tul lmo tUX6v crt09EPOV CTI1JJE[UV tvo KUI()OU KUAIOJJtvoO 6IJu~ h i ~Iae euSpoundia

0 IKAQt (not Ilaquol4fraL YEvEmoupyolt KigtKA~ Kai 11 QKlie tao aI)IpuAilt tUI 010 tau R

M io tOlUUtll -alnoAIl hel y pacpt) poundIe ro ax~110 5

EIlt to rpoX~15t KOJlQ tei ooottVO )IOplo OlC1YPtLtf)OUV t pOX I O~ neptaGorcpov 1 o)Ifd)l~pov KAEICtac tfl~ t6~ewlt toO poundapouc H Kato n]v OIUPKEIQV JJlllC nEpl050u T

To a(t~IJQ tOU KUjIOtOC nOlKiUEl t~OIPClLK(~ )Cai S~OptiitOl SK tOW atOrxciwv autcLlV Kill row TomKWv auvOllKulV

n n 1n -

-

rvlt~ 1 ~hii u~ll~~ T ~ ~ I ~ T ii ~yen u

ui ~t ~l (M bull ) x h Til - It + _ of

H M (911)lOttKn l)Jto lh OIC tnl rfl e 01006aE6gtlt t(Uv ruPIOIVri shyaEWV EVOlt tfllt )I~t lt at1pllEtOI d~ to on to KU)Ia 5poundv (Jovishyataral lino atpOPAtAAla)lOlx Kol 6 tt QltonApoundi )Iiav KiVllalV ~VfEAGl~ OOlPOpt AAOV mt toOtO tt QAAOO nporintEI tK lOG 9poundWpliJlalolt tOO Lagra ngl ltruJlCPCovUlt npolt t6 onoiov laquo n dshyaa tAe09tpa Kivtal e liaujlnd aT ou uypou (aapilt11tOe ) )I1] OUVEKtIKOi) ETval tV tE AWe 6 0 t p 0 j3 I A a e I)

Kato auvpoundnElov npEItEl Kata tflv 5ulooalv tl1e Kl vi]aEogtlt va t~aacpaAilETal fI ato6Epo r11 lt tGl v Jlolampv Kal taW nl tOUIlV tni tfl ~ ~Ae09tpae tnlcpaveiac

BEPalwt unupxoov nEpl1rr61crpoundllt KOS 6t oev SOvcl)lE9a va (I

yvo i)awlJev oore rri v cruvEKllICOtl1ta (tawtcptKli tP1P) tOO OSmot oorE rat tpl ~ci hi TOO rrue~tvoc OOtE aK6JJ (L tflv SlIjshyopaalV toO livt)loo 61tt tfle tnHpave[a ToOto 6)1Ul~ OUltrXE pavE Ell nEplcr06tEPOV tfl v OIEpEuv11alv nOvtogtlt TO K)~11 toO Gerstner Elva I to dtov 6nAcOv poundIe to 6notov JJnop01J)IE va KatOAi]~Ul~UV ola toO unoAoYlaJJoil al apxot toO 6nolou dvat

a Ko8e uoanvov )I6ptov KIVettatKata )It)KOlt )I14e npoundplcpEpEialt crta9Epoo JCUKAOU )If OtoSrpav )OOVlOK11 V raxut11fO Koi 510shytptXEI lnV tpoXlav t OO Kata rOioOrov rpbnov oocrte va SltPXUQI naV1orpound tK t Ou oV1Aortpou all)l(loo autl1~ to omiddot norov tivaYKaalulUc 90 anouAt auyxp6vltraquolt Kai to UVtAOshyt fpov mUlpoundov lTjlt KOS O4IOe poundlCtponTj tOO JCU)IOtae(KOptlcp11) jl~ SIEUSUVOlV Kal cpoPov taxultttlC tOu CJU)udmoooav JJe filv SIEU80vatv tft~ raxutTltoe OLoamp60CWC f00 lCu~atot 0 IJtXOshyVIOIJOe OUt ae CrnotEAtl rfl v KAcl~o SloS6aE(l)e rou JCUJl0tolt Ole eo rOCllIlEV KatCllttpw de ro KEcpQ)alov laquo(epooapoundoo~ tOO KUshy)IotOCraquo)

p H QKllVa 170 tftlt KUKAlKflt rpoXllu K l Vilae(~ t tbY Jlo piwv ~tOp1atal euroK 101) OllOue Kat roO 1I1] middotUUlt tOO KU)IO ro Ka9ltix Kal tK roll j3aSoult z toll KEVfpoU t oO KOKAOU ano tTj ~ t nuposhyvE tac flpEl1ia~ tflt 9aAaacrtt Kat JJEloilral JJEtel toil fktSouc

mOtouwc Kata tV poundK9EnK~v a XEatv t Z- = 10 e -2~~ Evea

yO = ~I _ i] clKti~ tTjt KUlCAIKfIlt t POXltle tOO Pont tt)e autll t

KQmKOputpoU EuplaKOJJivou poundn-lqlOVEIaICOO JJopioo Kai e _ = 2718282 i) j300lt tu)V NpoundrtepICllV A oyapl9)1Wv (tOE aXflilov 6)

439 lou)loC 1970

y TO 1l0pW to Cltota K~VOOVtal Kata IllJKO~ nEplcpEpElooV tooV onolrov to KEVtpa t(i)v KUKAooV EUp[OKOVtCll Et~ to auto pa80lt 7 ItEPLOtPECPOVtCll tlti t(i)v tpOXuuv nov Ilt ywviov av6AoyoV np6lt tv opLCovtiav 6noomatv x tooV KEVtPu)V t(J)v KUKAWV

2rrx 2rrl ) tooV ( ql = -r= r Kat Ilt tV au[v ItEPlcpEpElaKv

taxUt11ta et ou OuvciYEtal Em laquooAal ai ftEPlqlEPE10l ta~ cno[cu otO[ppoundxouv to Ilbpla ta EUPloKollEva poundni toO autoD ~a90ult ElvQt loavgt

Eav Aa~oojlEV rot a1ovu t(l)v tEtjlTlJlEVU)V x bi tol) thuatpou tm1tioou tij~ 9aA6oolllt Kai ltapaAAIlAOV npolt tIlv OIEU9uvcnv toO KUjlatolt Kal cblt osova tillv tEtaYIlpoundVWV Z KataKOpucpoUv ItpO~ to ~6Solt tOU to 1l0PlOV to onotov otpEcpCtal ntP1s toO C1l1IJe(OU XII Zo Sa EupioKEtal Etlt XPOViKV OtIYIlV t EIlt

tilv 8poundOIv

x = X o + R (OS ( 2~~ - tp o )z

= oj + R sin (2 t - lt10 ) z

1 11 0

Evea Rz = R e - L- ~ 0Kt1lt toO YEVEOIOUPYOO K)KAOU

2ltx o EU fa90lt 7 Kal ~o - -L-- Tl olacpopa paOEooV IlOpioushy

mlYilltmiddot

0 Larras anooEIKv0pound1 jla8rlllatLKwlt Otl OJ(i va onotEAoDv a[ avrotpoundpw ESIOcOOEIlt AUOIV tOlgt npo~Ailjlatolt tijlt olaoooEwlt tillt KIVrOEWlt Enl (xnEipou ~aeoult npcnEI

2lt ltL r = 2rr-shy-C- - R=O Kal g-~=O 6te g

0 Stokes tAUPEV Wlt OUVajlIKOV tQXUtllT(iW Tilv ouvaprl101v

- 2lt11Le - - (l X)ltlgt =- Ro - middot C052lt T- LTshy

Tllt 6pr~cl Tilv 016000lV Ilf ora9Epav tOXUHlta Kat civEU IlEshyta~oAillt ToD crxijllatolt 1l1ilc nEpLooIK~lt KlvtlOEoolt tvrolt 100 xoopou a1tpoundplopiotoolt 6va1tapaYO)lEvlt

Ala vO toxuo TO avoorEpoo ouvalllKOV o~middot Eva KOlla IlEtaot80shyIlEYOY tnt CIltE(pOU P690ultnppoundnEt va anoSEtx9ij 6rt ttaocpn)lmiddot ~6((1l KaTa rv Kivl1mY 0((19Ep6r11lt f(J)V Ila~(ov KQi rroy 1tIEmiddot OEWV tnl tiJlt H w9tpae poundnupoYEialt rillt 9uMiool1e

npEltel AoLnOV b~ CrOU)IltLEOra uypd Kai ola morxwigtampl1 jld~av

au Oudxdz - I -- = 0 (uu 6Pl~Ovtia Kal KUmKOpUlpolt tClxu

Ox az fli(1) f)q)

[11lt) 1 6x + OZ2 0 fJnlt npaYllan e1VUl rOll ~lt shy

4r i 4lt - Ti (]gt + Lz cIgt = O

H OTQ9tp6Tl1lt AOInOV roov Ilnlroy nAI1POUTClI uno Tile ltJgt

Aa)lpltivovm nlv E1trraxUVOlv ti)lt OTOIXElroOOUC JtIi~ l1 lt d xd z ItUKVOtIlTOlt P Eilt nvu XPOVIKTlV OtIY)ITlv fnlt 1tpmcl)1[rEl tic ouvouaO)loO ~apoult Kal blacpopalt mpoundoerov t(J)v boo O4lEWV TOO cnO~XElOOOOUlt O-YKOU dx dz hOlltv

f)u Bp 0 p -~- - ~ (pgz-p)

dl Ox Ox

p ~~pg_66P ~- (pgz-p)66 dt z z

6 (6$ t ) 6Ox p iil ~middot 2 p (u +) ~ ex (pgz - p)

z (p 601-+ ~ p(U )) = z (pgz - p)

Ote -~~ + -- (u il - u-) --- ~ - gz = ow9

napaYtJYyiCOYf~ We npOc l Kat nopaAElftOvramplt toUe opoult Tt1~ aVu)TipaC TO~EIDlt dlt t v npOOT11v OUVQIlIV tijlt KUPT6tl1foc EXOIlampV

1 Op Oz ~-- - g -~ O

p 61 6l

6la va loxuu AOlnov namppirrtooOlC tflt ota9amppOtlltOlt nov Itltmiddot oEIDV tni tlllt tJEu9tpalt eurortllpave(alt ItptnEl

Op Ogtgt 6$at = 0 6tpound Kat 0iI- g oz = 0

(hEIOn ~ = u = ~~) t~ n~ E6K6)~~ ftpOKUnt~1

T ~ y2rrL g

E7t[OI1~ aooel tillv auvapTroewv cIgt fXOllev KaTa IlflKOlt )IUl~ ypa~~~

- 2n~

6x 6lt1gt 2r- I -~ (l X ) ot = u = ~ = - T io e sin 27t T - L

- 2n - 2n R - 1- 2- T oe middotcos rr - (+- ~)

x = x + Ry cos (2~t - tV)

(2rrl )z=l r+ R 1 s1n -T- - ~

vo~ R R - III I 27tx 27t I QU i- 0 E tV = ---C-- m = L Ka

T6 a01p6pIAoV AOlnov 1(0)la TOI) S t okes jlpound OUYQIlU(OY roshyXUT~TWV anoTEAei AUatV tou npopAil~Qtolt tlJc jlETU060E~ TOO KUllaTolt poundnt a1tELpou PciSoue (Ka8cix Kat tlti ata9Epou Pcishy90ult Mv oVtLKaTaOtijowllcv pound1e TCu ltivw EtlociloEle tOV h9tshyTllV 81 EVOlt U1tEpPOAIKOC auvll)1ltOVOu Cosh) nAllPoCoa Tae ItPOU1t09Emllt tijlt 0tClSep6tlltolt HOV )Inlillv Kat toov mpoundoEoov Ent tflt tAw9poundpalt poundnLcpavE1cu Ai ttIOOOmIlt autal O)lOI6~ouv aKpl~amplt )It 0lt npol1You~va~ toO KU)IatOlt Gcrstn el nashyparnpOul-lEV 6JWC to tl(1tAnl(nKOV 1tapaootov 6n to a01p6shyhAOY KOlla rou Stokes vn auVTaul~pound(al 11pound TO oTpOPtAillshyamp e TOO Gerstner Tol)to OIlWlt looouvallEI Ilt [0 vei crvyKpishyVU)1lEY jllay cil(PIPIl tl(cppaolv )Ii ~iQV I(Qra npoOEnlOI V ~ (mOl Q an01E-ei jleplKtJv AUOtV TOO npOPAilllQrOc Iln y ywpishy~ovTelt ntpav aOTlJe tay t~aoAou900v Ii 611 va OUjlnimouv

Me[E1tE1Ta Epeuval TOi) R a nkine (tv auvExeiQ t (J)v GerStn er 1802 Bertin Bouss inesq Airy J845 Kat S tok es) aJttbelSaV 6n Elml ouvatov va QvtIKataoijooollpoundV TV ytveolv tflt [POXOEIOOlgtlt KallrroAI1lt (Sui KUJioEWlt KUKAOU) cpaVta~Ollevol u8advnv )Iti~av nEpioTpECPOlltVllV tnl KawKopucpOU poundmlteurooou ntP1t OPI~OV[lOU li~ovoC I(ai 6n poundtlt Illav Ila~av uypoO (~apushyt11roc) TOO ono[ou fa )lOpla 1tEplorpeltpov[QI 61l0 101l0 PQXJllt eilt ~YQ Kudov tJ tPOXOEISi]o t1tlcpQvEla mO KU)Iat oc 1tAnpol TOy 6 pov rli lt 61l0tDIJOPPi cu Troy mEowv TowDrov [poxOshyEIOtlt npoltPlA lil1jlIOUpythol lilO nEplorPOPillt Kurw6EY E(9EI(1e -ypajl~ijlt tvolt KUKAoU fOC Onolou ~ Olnilt Elval iall 11pound r1v TOO KWVIKOO EKKPE)IOtk 6nep avaKUKAollTal jlpound T Y ililUV nEplshyobov 1 Tillv OOOTLVWV popirov altooeitw 6(1

l = V2rrL ai C ~ --I ~ 1gL g V 2rr

-Enioqlt afttosLtEv on Kata paSolt at aKTlvpoundlt fpoundilv tPOXIpoundilV J[Eplcrrpocpii~ [oov Ilopiwv I-lELOCv[al KaTa YEoollCfPlKI]V 1tp60shy

SOy Jtt ACYOV ~ K096gtlt to PaSolt auaVEl KOTO apI91l11nKV

3z npoooov -2 z ~ 27 I(TA

To pa90~ ~XPl mu onolou t KlVl1allt t ill v 1J0p(wv jluoSishyOHm tsaptntal a1t6 [0 IliiKOlt L TOO l(u)ICtroe roi KaTa nOAlgt OJt-yOOTEPOV lti7t0 fO EUpOlt H a01OO 0 R a nkine tnlolllt npooshy

Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

~A~lOV Jtp0ltJoxfc tU(XQVEI to (pound(ov~ un njJopCJ)il Td)V KOposhy

II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

_H_ Elll ftpoundamp o v pound iu~

Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

Keno ho = L at Kopultpai EupioKOVtm UVrAOtepOV Trapa

ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

navtCl T 6 vwdpw ioXUouv WC famp1 tllX9T) otav to tJlt90C TilC 9aA6crollC poundIvaI dneurolpov SEWPlTIKG)( 6uvOIJe9a 0 9ampU)Pl1oCl)shyIJEV [crxuovTa T ovU)ipw OTClV to paS oc TOi) TtuSlJtvoc d El v(u IJEyaAUTEpoV ~ icrov npOCTo IJitKOC L ToC KUlJatOC d L Ii npaKTlKUlC d ~ L2

Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

O lE~OampII( li)e opound 6 Gil illard iSane 6vEntO~E tr v poXOamptoil Seropia v hi neuro1tEpaa IJEVOo aTaSepoO 36Sooe onooei~ae iSn ai TpoXtal tOOV lJopioov Elva lJo)Aov t AAElltttlCai napa KOKAtKai ritc EKKEitp6tTJTOlt TOUTU)V E~l)Ptl)IJEVl)C EIC tic aXEmooC jll1shy

0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

H 9EU)pia aUtl) EXEl Em ICOpwSi We 6XOIJpoundV avocpEpu ltpoqyoushyjlEVUgtlt ai EJOWaEIC 6t TtjC EltlcpavEiae toD tPOXOElbO()c tAshyApound lnnKoD KU)JCHOC OTEvWC nAl)olo~OUV ItPOC to ltpaYlJaTl(D JtPOfl) l A tOO ICUIJ6tWV TilC cpuaeffi t(i)v OIOO IOOIJEVWV ElTi 6PI ~ovtiou Jtu9jtpoundvoc TO a x llIJam 10 Kal 100 TraplOwOv eva tpo XOE I Ot~ tHttlt tluv KOlJa

EK tll cnlAooeWe tUl V OloqlOpLKcZlv t~U~OEWV ToD KUIJUroC t OO Stok ts E1t t CLmipou I3irSooe Mv QvtIKatOaTroU)jleV TO V tKBEshyTl)V Ot t voe Cosh AOIJ3ampVOI1EV QvnoToixwe TlIV t~iaooalV

~ - - - -- t--- I ~_ __I __ _ _ _

~~~ --- I

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[0 ~-

_ I 1 bull~ Io_ I I I t OJ

~o ___ bull n f f1 I ~ bull I~ ~

I

-- shy- ~

LX lOa EvetnTtl(ol rQoxoft6ir XUltO xora 1 try - Iaplacl

tflv Cf uvOEouallv to atOIXEio roD KUjl lltOC

L V~Iol -- - ~ - 19hmdT ~~

T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

Eilt tOV nU9IJEVO 69EV lO 1J6pto nDAAOVTal EU9oypcJlJlUX Koi nopaUijAUgtlt 1lpOC tr v ErtUpaVEtaV oUToD JI eTQ~V t oov Buo o-ra9EpUlv tanoov TooV poundAApound(jIpoundooV

42 1 lhraJoJr TOU V1pOVr T01 I(tu(lTO( H

~Otov EVO KDlJo OlUbioetot tlti altElpou ~69 0oc KtvEita l lJia 90Aacralo jloso 9EWpl)tlOOe ~aSouc L lCoi 1Jl1I(Oue L H IJllso a6Tll poundzEI 6nOKtnOpound1 WplajlEvl)v EVpoundPYEIQV N CO EVtO C TOU xropou TOAOVt UlOpoundUX ToD ICUjloWC line 1J6tOCPpound PEtOI ano KOJlO amp1lt ICOJla np~ tr v BIEUSUVOl v tilt 8IaS6a ewe

-Otav TO KOIlO 6n0 onEl pov J1690 qlSoaet vir 810009(1 eic nEshynEpaa~vov tla90c d tOtE 6 xropoc (Kat ltpualei it JI asa) y l shyVETOl crTEVUJTEP 0lt npoundp ~Opl~6jlEVOe IJETOU hoc vtou lJijICOUC ltoAOvtWcrEWc Ltl lCai tou 13090uC TaD 1lu9IJEVoe d

middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

H IJETaqgtEpOIJpoundVl) OlJffie tVEpyElo N 01(1 tile nEpt 68ou T TOO KiJshyJIutoe ~eTOCU n09IJtvoc Kai ic Emqgta ve [oc tfle 9oAaaol) C tl vOl

0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

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0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

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= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

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f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

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079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

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0 3401i 1lt163 deg 7160 09372 0934 463 0313

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il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

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bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

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ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

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maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

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pLH E = ~-shyp 16

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IE = _ pLH 2 8

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H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

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8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

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bull

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middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

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--

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n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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1

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BUl 6 = 001 0Q2 004 006

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AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

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to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

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91 reV1Ko

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toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

El~ oix QVW1EPOO unoue 010 H = 20 rL C = 32 fl sec OtE p ~ 2048 Ib ft ~ 091 t fL

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Eltt n)Jov UlVETtpoundpaVE 6n

O At lletapoAal tfl~ rtUOEroe E(~ 11lv OKPl~ij geltJlY UTCO)O)Imiddot cr)loCi xma llv ltlIOOlV cpoptlOC(IJlt (UUIIITgC) Mv ~Eapl1lvtal rtOAu eK 011 OTllJeLoo evOn 0 KUlJa rtaAAnal Kal a1aOtpeuroshyltpenn i)JtOAo)~poundl se Tit IlliAAOV ~vo u4lflAhv lJt lo ov 1illaquo1tIIshyoewe Ku9L1COlt euroTC 100 OflJ1dou hSa to KOlJa QPX~Et vo KOlAit~ ~ l) oKo)ou90ulJtv lC tE QAAOU tflc KOTOOtPOcpfjlt nepUJ06 EpOV JlOKpUU

AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

fPUUlV Cfic crltpupuC (O itre) BEv Exou v uno)~O) l cr i~oUC Cl~Cu napa l(Qt E08Elav eto Co ait to crllllElov hBo t 6 lCO~a nuJEtOI lCui KU1OO1pEpEtOl A ( nIEcrEIC alllUl BlocpEpouv no)) ano KO~a at KO)lO Kal ana OIl)lEiOV do 011)lE(OV BI011 to Kfgt)lCt Stv lCatashyOtpECPE1OI nott Buo pop6lt KUtel OuvEXElav tnt toD OU t ~O 011shyIlEiou OUl ouvEx ii TtelA)lW01 V EniorjO a( TtleuroOEIC aotal poundtva )lEaAutEpO I Kul JlEta~aAAOVtal ano 2 EWlt 5 popao ( t o n180shyVcOt EPOV 4 f)op6lt) tWV mpoundcrEwv tWV tivoltrucrcwlltvOlv 1C00tO t nv pam V fPOptiO tOllt (Bou rrage)

H tl~r 4 lfIaivEt aL vel c(VtlOtOIXfI EtC t Tiv 6) IK V lCutaotposhyqnlv t flo nOOOtrj TOC tfllt IClvi]OEWlt TWV Ku~ciT Olv ICCnO t]v BpaDolv

y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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a) ouva~lIl(ilV tvepYpoundlav OCPEIAOIlEV TlV EtC r v imEPUWooOlV tGlv ICtvtPUV (hawpaxljc TGlv )lOpLCUV 6mpavw 10Q eltlnpoundOOU 1lppoundJliae

Ai QVWttipoo nocr6nJ TfC eVEP)poundlae Elvol ioal IlEWSU TWV (i)( (i1~wotpound hOIlEV QVUltPEPEl dc TO KEll 6

Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

~ ~l

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

tHAB = H - -- shy L

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L TOU I3ciSouc tOUTOU o iaotirroTE OlCltOpaxn pound1C Til v tn llla-

VElOV otv trrl1PECt~El TTiV rri eOlv

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

To ETEPOV 0l1jJOvtIKOV cpalvO)lEVOV tf)e 6not6~ou nATl~WC tflo 6aAacroioc Oltpopoe ent TOU ~lpoundtW1tOU Ku~ato9pauoTou Elval 1tapOIlOloV jtpound t6 YVWOTO V EtC 1ilV UOPOU1LK1lV laquo)opaukllCov ItAtlY)lQ)) omv OTto t6j1oolt ICMLOooJlEV t itv Ol1(Apoundioa tvae 0)00shyyoO tvToe ra onuiou peel UOwp 0 lCa6rjYIlTTI1 Gibso n ontshyOE l~EV 6 11 l() oopauALlCov n1fly~ a ouvaTov va 6vanTU~lJ eowshyTfPIICUC n-ltOEle ~tXPl toO 15n Aaoiou TflC SmqlOVE10KftC 10 1shyaUTTle

EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

~ ME)UA(U mcoEI uvonTUOOOVlOI Jl6vov scp ooov f0 nuxoe foO SuloKoc Otpolt Elval lE)OAUnpOV ToO~IlIOpoundOC TOI ihoue TOU H anOfOIlOC aihn nhOte poundtVOl avO)o)olt 100 tEtpoYOOVQU tfle tOXUtnfOC foO KUllatOe Kat avnOTp6cpo~ ovalo)oe tol) nal-0ue roO O-rpOOIlOtOe 101) Qipoe

) At aKOUOfllCOi nliOel C ennpE6~OVtOI EcuPEflKa ano n)v tniopoOlv 111 oultapoxfle ToD GOUfOe tOOv npOTl)oullsvrov KUIlUtrov tnt frov UVOlIlUllG)v TOO IlETcUnou

o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

c OOOEIl(O nito lC QcrKeltol bl Tal Iletomou omPllvw ftl e 110middot Puqlic tol KUJJUTOe tVq) KaT(J)6Ev TOU ICUTtilTEPOU thpou TOU 9iraquo molt i niEOI~ npoundnTpound1 oJtot6~J(oe

at etr iov n6Bu t OC IUtcUJtou fl niEate dvOI jl6vov USpOOTOmiddot tlKfC ltpOOEWC

~ H tvtp)Ela fl UVQnTUOOOjlpoundVn OL tmopuOEOle Opauo jlcvou 1IUjl0fOC QnOSTlKCUetUl de TO OUjlltlEs6jlEvOV lEtolU KUIJOtOe Kat ~1ffa)1tOu OTProllU clEpoe Kut QUIL de TO GO(J)p

0 na~nold 1t0COOE tOV KCLtCOTepco tuna V tfle jleyl(JtTle 1(l sOcWc

hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

E TGIV ntlpujlciTWVhi TOO jlOVtEAAoU 0 Hagnold ClWcrrepaVE on ui ~lt 1IOnI 1IItOEIe ampv CJIUOIlCampV KUJJUfCOV ()no tlSIIClie cruvmiddot SiJKa OUVUtOV va cpSaoouv TOUe 6t f t

0 aV(J)ttpw unue Mv tIVClI euroJtLOEKfl-O tcpap~O) l~e KaS 6Oov f0 naxoc 100 atpo~ OpoundV elVQl OUVOfOV va 1Tpo06 10PLOS~ ne sa i6co~EV li~wlt KlLtWtEpCO 6 Mioikin l-Pl~atP01TOtpoundt mOtov 1TPO tCGYro)~v tvoe tunou nollgt XP11O(lOU oul tOV 6noAo)lmiddot OIlOV TGIV 1Tttoewv toO I()IlUtO tnt KOTaKopUqlou jleTOmOU

MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

a H ~OP1UK Idvl)o~ -rrov KU~(tTWV Cia polis tlvat OTlJ10VIIKTl 6X1 ~6vov EI tTl1 t4u8tpav euroml)6vuuv OAAa Kui ete TOV 1tl)shy

SJ1tvu El e o7l6onmlv 14 euroK tau KUfOKOPixpOU j1etwnoun KlshyvTltl~6t1e qgtSUVCI to ~iYICTtOV Cui 1) TaIUTne SUVat1l1 va t~tshyOw8fl It to outluolOv tne axUtTlTO~ 101 KJlato~ tfle KWfJshyCTtW oGoe opl~Ovtiue (tpnpo - niCT()))

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-tL-shy ~ LLI

Ex middot tV (UJlf1 Cilipotis Kui thciy()ujJjJu m eOeoJJmiddot xCLni Sainflou

O H ni Eate tAallOOtal aloSlTn KaTroSev Tfl~ flPEl OOOT]e

tnicentlIivtill~ 610V -ro Ol-EHKOV ~6eoc ~ IvaI JlE)(UO Kat euroAu middot

qgtpGlc 5tav 16 ~apoo n t opound) 1Iu8vtvoc tfvat JllKPOV 1IOOOo-rov toO IlrKOUC L foO KUJ1UtO C

Ele tOv nooo toi) Iftoonou il tlEOIe elvot

pJl ~~--2--rr de oe Tn V aT6SIlTlvd- 1)pE~iae cosh --Lshy

(pd + pol (ho - HI II ho + d

11 bt UItEPUro(JIe KOfQ Tflv OlatUpax1lv TOO t1tlntoou flPEl-dae Tfi C SaJcioone npo toD KOTQKOPlxpOU JJoamptomoo e[VQl

nHt 21td ho= - L- ctgh --c-

To Oeurola tie pall~t1c nOv moewv TOO -U~UTOC Clapnlis tni KOmKOplxpOU IlEToonou TjpEuvi]6n KOt uno 1tO)AOUlt 6Alouc tpwVllf(l KaS oOov 1) olJvajlllol KpOOOle fampv KUJ1UltllV We t1011 poundl-ojlev avaCPeuroPEl cic TO npOn)OU~EVU KEcpUA01a tSn~Oup~ )l1OpoundV QPKtra CTTl~aVTIKa npo~lfll(HU fa 6noia 0Ie1T1CTtOO9Tl ouv t600v ete tnV IpUOIV (SOov KOt tnl ~OVttU(rJv

Ta npoj31illlafa mOta t)evvi]S10UV t~ uitiw TTj lt 6j3f~ut6middot f1to foO noOo(JtoO SpaiJnrfJ)lt tGlv KUjJatrov KUfU Tflv 1TpOOmiddot nTlOOW KOQffiC Kut flte alCP1~0)ioC tOU e180ue TOO 6VUI(MoIlCmiddot OU Kil~lltoe

Kol dVQl Pt~OtOV lSn TO )(1) lUTU ClapoLis iA)OTpound SpauOVlat jlEPIKroC 6AAOTpound oJJcolt 6II Ol St JtOpu(OV1poundlt bIlPOOO]JoD ~ XOI)V tiOTl OVOltluxSi npOIl)ou~tv~ E8TlJ1touPyti6Il 6eeuroV -ro 9fJla tiJ jle)l(Jtne tlCtponf)e KaO UVIal TOO KUJJaTOe tnt TaU KatOICOpucpOU ~Etci)1tOU Toutean TO OlWEiov tni TOi) ~Etltbnou unepavco TOO hIHU30U fIpEjlla fSa cp9UVEI fl Kopucpi TOO KUshy~atoc Kui fl tEOLe dVQl jlTloev 5EOO~ivou (TI TO OISOIlEVOV laquo 0 II 0 e K P 0 Ua EWeraquo Oncoc Sa to KaAoi)IlEV TOO Sain Lou (H j ho) cpavETul nOAAaK lo nOAlgt lIKpav

E tUAOU fI )Pa~lfl nu~aEOX cptpefQl oli)ov olacpoPETIK~ tmiddot Ke(VTle 6AroV europeuvTampv

middot0 ItaA6e KaeTl )TlT~e Gagli T6 19)4 de Chf1ova Kuiap)OtEPOy ev auvtpyaoiQ lS tOV Ko8TlY11tflv fHuckj t~EA Et1CTavt6crov Ete ti)v CPUOlV oui jJ8TP10(I)V ooov Kal dO TO tpyaotliPlOV niv Spuaav TampV KUlJtlTW tnt KUtnKOPUCPOU Iftwnou TO OUjlntshypoOjlUtU exouv ltblt QKOAOu8roe

u H 6PI~ovtiu nieuroole (on il lrnEppallouoa OUIKTl f) QlVl1nmiddot Ki) ltitOu OUJlltPWVWe np6 Ti)V o vaiv T1C fl onolu SUVOtOv va rIVnl thE np6e tov )I ~ivo EhE npoo T6 1ttAorOt) tlaoKou~ )JeuroTl U1TO 1TU)l tKO D c0IlCLtOlt )EV11Clraquoe cpSUVEI lJiav StllV ~Eshy)ioTllV tlpfiV 6A()OV KcJTwetV tie crra9~n 1fe tlpt~ouOn~ tHLcpavElae oVO tt~ SetAUOoTlemiddot

a H ~qOtTl SCtn( f11tiEOIe poundfVUl OX-EOOV lCTTl de olae -rae nEmiddot P17ltWCTEIe 1tpO t1)v UOPOOtatIKi]V nlcCTlv Tilv 6ltptllo~cv1v Ele UjIOC H (100 l(~atoe euroVcPYoOvror euron 100 JJoampfcU1TOU)

455 10()10lt 1970

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O H ~euroyiCJtll EleurotlKn nleurom~ Pi EAattoOtal npo~ paElo~ tOCJOV

nSPlCJCJOteuroPOV apa6E(r)~ oCJOV to CJXeurot1KOV paElo~ ~ jleuroiOOtai

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I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 2: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

436 loulo~ 1970

Evea P Tti c OIC d e lJ rt ~

W tCl(l) tTl C (tv(~ou dc nm

0 QVWfPCl) nnw OUY01W va Ypacpil p ~ 00105 B

t 9a B = 6 apl8JJ6c iltc ICAI)IUICOC Beaufort ICol

W = 187 is ] EVVOlQ leal yf unr yQv 9aAaoOlWY Ku~inwv (t~

6vt~wY)

W X81l QVOOtCpW 6n il briopacrLlt toD aVE)lOU ou) fie tPL~tl c btl Tfl tAcUeipo~ mUQ QVglac Betel elc IdVllOLV to UOUtlVa ~6pla 1 aa)i1olt1~ A i Klv1lmLC aural A6)(j) TOO Cl(jL)11tllOtOU (1tPOKT1KWC) TGlv 6shyYPltov Kat tilt C1laeepdc 1t1lcrCOllt tlic Ut)10crCPOlPCU bti Tfc EAEUshyOtp(l bwpaveiw rfjc 9a1aOO 11lt npoKo)oDv 1tUpa~lopqxOOELC (6AAoH~xn l lt inc euro 1tL1tS06tl1TOC) TOO 1pE)100Vlm poundJwgepou euroTClft COOV autiC

TOLOU10tp61twc f euugepa 1tPE)lOooa E1ncpaVeW Tn~ SUAllcrshy011 ~J1a6lWlt fI tuXnotQ 6vaA6(~ tfie CPUOEWlt Kat 100 tp6shynou tmopucre(JJlt eio)lCoiltal Kal KOLAOCJl01 KalOKOpUcpOle np6lt to UVW Kat 1tPOC to Ka t oo AajJpavouoa (EVI KlU e de t o xwpov Eva npO(piA SlCl ooXIKWV pound~O)ICOOjJotW V Kai KOIMuI-Hltoo V lwpaAshyAnAwV )Ul oXES6V 6~0(wv to 61toTa crvyxpOtO)v ~iaV oI(OAOOshytH((v YEWI-JEtPI(wv ro9 Ulfl~ tVaUaooolJpoundvroV 11I1OPOAlUv t aC ovo~crlojJpoundvao al(j)pnOEL~ ii nOAIJGxnlC Tfle lJaAaaOTje

T u naAlJoow autru tij~ 9a)ci00T)lt f tiAAroe t ae ltTXTj)lOTtKac a9 G~o Iui 1Jf) r~ tvaUoOOolJtvac SlaSoludc )lEraPOMlC ci~ i~oYKOOIJOra Kof KOlkWlJ0ta Tfl~ )pounduocpoc lppoundjJoooT)C pound1t1shyqgtovriu T tls 90w OOllt KUAOOIJEV laquo 9 a A a 0 0 I 0 IC U jJ a [ araquo)

Al lw110w t ill )lopiwv StV np()I(QAouV Pae)lllSOV ~6vov [ae 1t aPCQIo(Hp(ilOEl~ t1Jc t)t06epac llPEjJouoC poundmcpOVe(OC r11c BoshyAUOOlll auo ettoov fiC t( qenv (Kat jJQAlOTO t11C tOlac jJopshyqgt~) ltal fa ~6pa p6 r6 ~a9

TO Kt)jJata [aOta KflAOOVTOI laquoK UjJ a Tap 0 9 a U e raquo tv avtl shyOcou 1tpOC to ril e poundAIUOipuC pound1tLCPavtiuc at1va KUAOflvTaI laquo t It 1 ltp a v lt 1 a K U K U ~ rI T a raquo TO eaAoocna KUjJaTO avTshyKOUv de rnv Kurrl)opiuv tU)V KUIJOtOOV POpoTllTOe

XopaKtpI(J[IKlUe rXU~EV Suo Elo OaAaOOiwv KUjJOtOOv

o K () IJ at 0 at w p Ii cr E ro d TO 6nota ta 1J6pta onpoOvshytQL np6e to np60ro KLvftOewlt

p K UIJ a t a ~ E t a 06 CJ E ro C de Tel 6noio 11l jJopla KCLmiddot [poundxouv nplC ta npooro KivOlv

H uvroteuroPlIl BH1KPI0lC Elval KoSapGl lpoundXVTJlll KOS 60001 6)0 to KUjJalO ElVQJ nEplooonpov 1 oA l yciltEPOV KUjJOTa jJEtDSOshyOEW d y (1 6noio tel 1J6pw n l)I)(USOUvtOI nOAAollEVO OUVEX~ touAciXlOtOV dlt lJiav IJIKpaV b(TQow

Tei KU~OtQ nanw tel 6noiCL npoopciAAOOV tqv Ota9Ep6tllta [(iJv amppywv d vol tKlivo tne P Kot yopiCU Koi IJ pound to 6noTa eo UO(OATJOOOJJE V

TO KU~am utaOooewc i unA-we laquotcl l(lJ)lQtaraquo Ex-ouv w~ OIlEOOV cruv1tfwv t npoc t il ltp60w KIVnOerJ tcuv popiwv tOW [11v IJGrliooOlv nuv ltpOe tJiv tLKti]V H IlCmiddotI iouOIC aun) (iVEtal a ni tfl61rtw t~OIPETIKa 61l0l6)loprpov Kal XCI)pj~ to oxt)lO nov va uqgttCJtotat jJE)UA-ae nopollopcpcOoEIC

To npocpA- EV6c KUjJaTO SCLKvUEI to CJxfi~a 2

Tn (I1Tt p tilv Jipcllouoav EcuOt pov e1tlcpawlav t~c 9aAooOllC ~OK(i)PUTU taD KujJat CX KUA-ouvtCLI laquo i ~ a p )l a t a raquo or lit I(Qu oOIV IWTt Ktvol XcigtPOI lmoXropTOEco t~C 9aAoOotac 1(Tll laquo K 0 I A OJ jJ a t a raquo

16 uVlJ on pov crlljJtlov tOU MuPIJCltOC KaAcltul I( K a p 1)shy

cpl T I) U K 6 ~l CL t 0 Ii ) t6 M X (J~l)lA6T1rov ~ ja9utEpov toO 1C01A-1~tUtOt l(uAtl nu ~( n 0 U e t (J U K U )l Q t 0 lt n

~ = ~D C uu ~ lto L = )I uii UIU(

~1 up TOU 1lt IUTD

0 To l) V 0 C ~ I lgt poe 0 0 I( U 11 U C 0 ~ H = n KQtalC6shyPIl(POC cin6OtaOLC )lEtaU KOPUcp f]o Kai lt050~ [011 tupUtO~ (I I to Ojlo~ d lt Sae oe nu91JEVOC d cc Kal Hd de pulJ0C l1U~ BjJholt

p M 11 K 0 e tOe K U ~ 0 [ 0 e L Ii 6Pt~OvTia 6n6otaOl t U tu~u 800 OIUOOX I KUlV KOputpclv tl ltOOWV tOU KUlJatoc Kill (L = de 6nl tpov pu9olt Ld = Elt PMtoe nu6JJtvoe d)

fmiddot n pound pia Ba C 1 0 ) K U IJ 0 TO e T = ~ XPovlKq SI6pshyEla BU~AtU(ftt~ amp00 SIOOOXIKWV KOPUIpillv f noampi)v toO IUshyI-atoc tK t o() aot oO OlllJdou

Tu ~flUttPEOOVtO x apolC111P10TItU ltJToIXEla roO Kl)Jlato rlvOt

o l l EU eu v 0 I lt r 0 () K U JJ 0 TO C ~ oldOuvote KO rel tq v Onolav tO~tSEUOOV 01 KOPUltoo roD KUjJOtOe

fl T a X UT TJ ~ )l E ta 0 6 a E 00 T O e K U jJ Ot 0 r C- ~ =

= ~ r axutTl e nopElac TGgtv KOPUqxUV KOra rlv onu9uvOlV t oC Ko~a[oe

middot H( K u p r 6 t n C T a C K U )l a t 0 C u = 17 = I uvaA-oria

)lEtau UjIOUC Kat ~i] Koue TOO KUjJOf~

o A v 6 It t U ) jJ a t Ggt v IC U jJ Ii t 0) v F H K(1t tuSEiov Kat Ka1(1 nlv OIE69uvcnv IJ EtOOOOFfigtI toO KUjJO[OC oJtOataOl ~ jJctUsU rf C BOA-occia ItCPLOXi1 ~ I5 paoEooc toO (EvtOlOUpyou UiT~OU Kal TfI a KT1e dltpt~EWlt TOO KU)JOtOr aVEU 1taPEIJ~OAt)C poundjJltOO(OU

I K 0 p U cp 0 ( P a ~ J1 I t 0 i) K U jJ 0 t o ~ middotH Ypa )JjJq ent lIb onoae EupioKOVtOl 6noool al Kopultooi O~ ~6pjJa tOC tOU KUlJatCgtC

lICt va 1tapox811 pound~ a vtlJou eva KOIJO SESO~VroV OtoIXE[WV H L T Kn( OOPIOptVTJC cvep)uicu anatrettal )lio inap -lC SaAaOO(O El(tu(JJ btKaOO)V dx Pt dioJITj KOl XIAILliltlv jJl shyAirov po9euro0 C nuOJJlVOC Kai livtu poundjJnolHwv

dta 1tEPtooP10~~vaC 9aAaooioo ApoundICavoc a 1Jpound(lcrtCLI [ljJoi tmV OtOLXEcuV toO KU~(lT() t Vo l nfpICilplltJp tval avc~l1ptiltWC t o O 1Cmiddot(ov6[oe tov ft EvtOOIC toO UVeuroJ10U ccp9aOEv ii OX l [TlV jJEshy(iOTTjV tl)li]v te

To KUjJara [0 aV01trucrOO)l~(1 Etc tlv m jlIOXTIV Olutapaxflc KaitOt napou(JJli~ouv 6jLOLO~Oprpov tp6nov 01o860100C Ioat 6shyjJOLollopqm X(lpof(tllPIOTII(U Uv TOutOlC OnOVLCl)C av oxt no rC) ltjlBavouv amp1- nlv at~v Ot6t1 to OtOIXllt u t(i)v OPXIKWr 1tapCL)O~ jJlVJV tUluitfJ)v itv dVUL Ttl aoto H oVIOOIlEtpO oGTll tGgtv acolXEiwv oiv 6cpElAEtal IJOVOV sllt t6 (EVEOtOUPf OV aitlov ciA-AU Ked Eie tTlv tllnoypaltp[av t 1c nlJ fHOX~C EIC t6 paeoe tOO nue~uVOC tlv (DUOlV trov tlKtlUv [tI l jJEtEooPO AOY II(Q cpatvu~Eva K tA OUt(l 1tapa(ovtOl KU)lOtO KOe 6~1us0 ta~louIlVl0 OlOrpO PlttlK(uV ujIGJv Ka nO~KIArov jJTJK(i)v Ele lel l3uOta ~liato Tn ~L(lKPUtrpO KUjJatO tU~ISampUoOV t UXUTcpa tai arpOJllIUWllOV f npoo1UpVOUV niAOlO)~U~V(l Bla jJpoundCOO tUlV PPOXUtpoundpoov (ta 6nolu nnooptvvUVtOl) ~v0 lSJtto9EV ootllW OXT)jJoTicuat iDvAO Ii)t-IO

Ai aUllnOAui ofm) T6)1 KtlJI(mllv dvat cuxval Kui VOV tUl ton-rU lv td Cllt UKUVOVIOtOV tp6nov OUTW~ worp iU)()fU JJCv vIi nl)OKlm fll )lqwutlPOV KUJIU UAAOt8 6t va Ouvtd ~tal nIi shyJgtII~ a1toappoundOIlt QUnilV H poundKTi1cnt oaF-V taw 1tMov UOIlEmiddot

--

411 ouAlot 1970

nINA= 3

middotAvO~ I - -f--- shy

12 ilipal6Uval~ I K6P~ I6 ropal

--~--~--~----~shy

L c1 c 1 H L I L HL i e 3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 7 2-5 60 10 5

120 15 8 230 21 12 320 24 17 410 28 23 550 32 1 30 670 35 I 37

M~ I 11 140 16 270 22 410 27 560 32 740 36 900 43

5 9

14 21 29 36 50

75 12 150 17 180 23 470 29 680 35 900 41

1150 46

5 MAX 10 MAX 15 280 23 15 23 480 30 23 33

4255

I

690 950 900

36 42 47

1 I

33 44 56

L = ~fllo~ KUjWOo do R60la (J K6J1~00 = 1 nm C = uxUtn do KOIlPOOo ova 6tpav H = JWOO KUllaoo do noblo

nINA= 4

MECol)oAat tGlv KOllcurov ouvapniOEI 00 AvontIYlla-coo F

yen AVElla Av01ttu)IlQ F dO nm-1------ -shy- 10 50 100 500

------ I c L c H L c H _1-_1 __ L I c L~_

3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 40 75

110 140 180 210 250

7 9

12 14 16 18 20 21

65 125 210 260 330 420 500

H L tio n60lCl Kui C Eio 1(OJlPOOO avO oopav

v(J)v KUllaWVa oRola RkJinouv to 80AuOOIQ epyo elVal 1(at O1tOUoa[a Kat 000)(0)00 1la 0CtO Ou6~ 1(awqJtuyolltv de 61tAoltOlnOElo lctlV ItPOPATlIlCltCuV Koi dO un pound68ELao rraposhytnpllOpoundto Kat KOtoypocpn~ tl)v CTo lxpoundirov I)v 90poundAAwol)v ICUshyIlntwv

To ilwo taD KUllatOo E~CJptotat illo poundIvai qlUOUov aRO to oishyHOV 1tClpaywyflo 1011 Kat Iampv 0mKI)v OUv9lKI)V Stv ElVOt 6Wuo oOVO-l60 fiui t au 6vWlE pw 6vacppoundpo~VOlo AOy oult6 JJOshy9111laTI1(60 OrrOAoYlOJOo ou Au) teD to KUtaqJEUYOJtv poundIt lJashyKpoxpovl ouo KUWjlttpTiOtto OOtoO t ti EIl1tpoundlptKOiu lurrouo Elval pE[3alov nelvtuk Kai tODTO tXpound1 onooetx6fl OOOV EIC noshypaTllPJiOpoundWV poundlc niv (flUcnv 600v KUl EV l Ep)oOlnpicp chi Ilt~ (hvo ~~up161Ql lmo l1)v tUXUTlTO toO UVEIlOU l1)v )uipshyKELOV aOTOI1 1C01 h 00 uvarrtUylJoToo 100 KUjlUlO O 0 Steshyvenson fiHipoundl TOUO nvu1(poundt )KOt 4 01 Orrotol KUTanpOaEYYlOlV 511ioov to OlolxEfa H L Koi C 100 KUIlUtOO nvoAo-y~ lfe EVshylaOpoundooo 100 aVEllou OUVopTiOEI lfl~ OIUPKpoundio~ roD avtjlOl KOl taD avanmiddotnmlQIOo toO lCUIlUlOO oVTIOTOi Xroo

OoVTWI 016 t6v Ko90Pl01l0V Toll UWoue ToD 1C0lloTOo pound(fl OOOV btv tmapxolv rcpaYjlu1tKal Kuoypacpui (oui naAllo-yp6rprov) ot KotWTEpOO I(mol IOl) Steve nson lonavouv poundUptlUo ECPUPshyJoyfl Kui poundVOpoundiKVOlat va XPTlOLllonOIOOvtoL

H = 045 1F 0 F gt 50 In H = 045 VI -r (075 - 030 1f) Oil F lt 50 nnI

l H eo m F = tl~ VOl1tKCz 1JiAlo nm)

I I

I II 15 20 22 25 28 30 I

4 7

12 15 20 25 31

-75

150 260 350

450560 650

I

I

12 17 22 25 29 32 35

5 10 14 19 25 32 40

280 480 690 880

1100

23 30 36 40 45

15 23 J3 44 56

0 Larras ciVOqJEPpound1 TOU KUTrotEp(O Imouo J

H = 037 11 L = 3J 11 H = 120 VF

( H Kal L dO m Koi F poundto Km)

or Im01 OU10l poundIVUl KOl uUloi KOTa npOOEYYIOIV Ioi onovlux O1lIlqxtgtVOOv 1Jpoundulu TroV 01611 to (l Wegtlt 00 KVIl010o 8EV ~~apshyTOtol 1l0VOV tK LCD irvOfttlryjloegtlt 6AMl Kol h Toll aVEIlOlJ

-EIpoundpo v lunov OUVUPTtiOEL lfe mXUtntoo ToD elVEjlOU W tlo TlV aUTJiv Coovrv OXlIlUIIOIl00 tol) KUJCl[Oe oi5EI 6 Larras TOV H = 0025 W~ (H poundto m Koi V Eio mscc)

Kul 6 Tunoo 00100 ~O)Jov Mv OujlqJoovEl navTo[pound IlE 1(10 nClpashyl1pTOpoundIO St6tt H) IlhIO[QV UIIOO toO KUlloTOO OEV pound(VUI COvOpshyIl010 1l0VOV 1110 [Q(tJUIO~ V 0))0 Koi flt olapKEiao nvofle toD oVEJ100 Aiel nEpLWplOIlElQo hTtlaEIe 05- 200 Km Koi npoundshyPIWptOjlEVa Pa6l 6 Darbushire OlOpound1 to IlpoundYIOTOV 01100 Kat ltv npoundpiooov oln lGlv EIlJtpoundIPlICGlv UltWV MA X 1-1 = 00076middot y Wl

T = 164 yyw Evea W it [QXUTTlO loD 6vpoundlloo poundi III sct

F + 3F~ + 66 F y = P o liP r 260F + 80

6nol F = 16 6VU1tTlYfjlO TOO KUIlOTOO ei Km

TXVtkO XpOVlkG louAlor 1970

EIC t WV Qvwtpoundpogt 1tlvQICWV dVOl (pOVtopOV 6ll I tTr(tEU~llt tampv )IEyicrroov tl)lGlV tampv (HOlXEWV )I11KOOlt iilvoult nEploSoO KO tOXUtTltOl TOO ~OtOlt Sty t~UptGlVtal )IOVOV h Tflt evtoshyaEOJlt tOil ovtjJOU Kol b tOO OV01tnJY)lOto~ tOO ripOtOt oA)o ICol h t1lt 8IapKpoundialt 5pQ(JampOJ~ t oi) Oveuro)IOO KUpiogtlt 6t t06 npwshytau l6Wpou Ei e tfl v tKtilJTlatv ogev TOO IJEYIOtOU 6VOUt TOU aoJJlOtOlt 0 Jl FApoundlTllfl MTlXOVIKOlt npenEI vii Elval Aiav npoaEshyKtIKOt wate Sui (J)JlnAI1PWlJotIKWV nopotI1Primwv fl atOI shyXClWV va tMY~l] TO ~K 1ttlV poundJlnClpuGw tonwv (moAoYIlojlevov ~Ylatov UWOC toO Kraquo)I010lt middot YnEpEKti)lI1Ol~ roi) )IE- i arou iVo~ anOtdE[ anOt(lA11v tv(p ri unolill11Ol~ 011)110upycl Kivshyouvov KOToaTpocpfl~ toD ~Pyou EnlopaUlv poundnia11~ tnt t oO jJEshyt iCTtI)u UWOOlt EXEI Kat to ~90r tOO no9)1tvo~ AKOjl11lO )I1K~ 100 KUjlOtOt aO~IPaAAEI UoCPPampt cllt triv aVa1tlU~IV tOO IJEyishyOtOU uVoult olon npoj3oAACI np6lt tOV iiVEjlOV )IEyaAulepov tntqgtOVEIOV KOt )IaAlmO ouxl 6plovtlav

To OV~ Mev 100 K)jlalOt O~oVEI auvEX~ )Ie lli v SIOPKf trri opaaw toO OV()IOO cpSoVEI SA tnV JlpoundYicrrv H)Itlv lOU JlEshy

10 ano SIUPKEIOV SpaaEWlt 100 OvpoundJlOO 10 1H rupG (to H pound1lt m) i) 16 W IDpOOV nEplnou (V tIlt JleurotpO civa sec)

TO KU)Iato ano)loKpuv6)1EVQ t~e ncploxfle YEvtaEcllI tWv apxi~ou ppobtwlt va XclVOUV EvtPYCIOV ACrt41 tf~ OvtlcrtaaEUgt til UtjlOCTCPOLp0lt toOtO ot npoKaAti )IEta(klAflv pound1e tOV tunav tOO tru)lOlOlt )IEicooIV tOO OWOUC Kol cr(j~tOLV tOO )InKOUC OUshyTOO OOt W tvo KO)lO H = 45 mL = 90 m Kol T - 7 sec IJEUi ano Siaopo)l l)v 2000 n m Eupe91 Jlt ltrloIXpoundia H 06 - 15 OIL = 400111 oi T = 16 spc EVSE1KtlK(blt a voq)tppoundtOI (5(1 KOro npoatY-Ylalv ro KO)lo xovrt to 23 roll 611OUlt 100 Jlucl ono tr) v 1)taopo)lr) v r~v npdHWv 1000 Km tv auvpoundXpoundq Se )IEIOOral t o Evuno)Jivov UWolt avO 51aSpOjll]v 2000 Km KaTe) 20 ~OCfoV ala middott1V JJctoj3oAflv t(bv atolxpoundiwv TOO IJ~KOUC toO KU)IotOlt Kat rf]t nEpl6800 autou mom j~(iPt(bVtOI 6n6 tflV lUXUt11tO toO c1VpoundIJOO Kat ano tl~V neploxriv tnt 1~lt 6noia~ opo 06tOlt

-4 AvQuau rilt 6la66olWt kal OX~Q rilt tm+QYdat TOO kU~QTOt

41 Aut p6Go nuGJJflOlt d OJ r

Oi npWlol aaxoAIIStvn~ IJE rfl v aVaAuatv toO llXQVta)loO t(Uv KOJlCltWV t(i)v OIOOtOOJlpoundVltllV tvt6lt p09t~ CSaloc flaav EIlt lru BpettQvtKU~ vftcroue o Robertson Scott R us1 Kat iry cit tilY rtPIJUVlUV a yenIbe r dt ra)av o Bcrlm Boussi nesq oi Debc lI01ze Kai tv A OCftpiq 6 Gers t ner

npci)tOt 6 OersLn er ( J 802) ~ 00 Ku i n ovo)laaia I(KOJJO G I I~ ln e r )) tlvpoundn w ll tflv 9Ewplav IJEtaS6alwlt t(Uv od(i)v KUAIVSPIKOOV lOJ)I cnwv hi anEipou J1i90olt )Cal f ScooE t e JlU shy9TUIUllKIlt poundtIOli)aCIt atttVEt auv5touv r6 6110lt to Jll1KOlt Kul rflv ntplooov t(i)v KOllnwv aro9Epo(j runoo H SpoundOOpla roO Gerstner lmpF OOIWSll 1)10 nElpOjllhwv Ele tnV A Aypoundp iov uno roO A i to 11

( A rrAoCv KUAtVOPIKOV KGlJa KOA6itai fI o l uooalt fvt6lt rOu xwPOU )Ie ataSEpaV ~ a X U t 11 to K a i Ci v E U pEt U P 0) Tj c toO cr X ti JJ a t 0lt JJLa ~ rreploSIKft Klvi]aEWlt anpoundpl opfa tw e avan 0 pay a JJ e v t t II

T o 6nAOUotampflOV t (bv KUlJalCll V livQl ro OI06106)IEVOV hi ushyn~ipou t a ra9tpoO PlOovc Kal wi) onoiou al KoputpuypaJlJlol poundivot K0gelOI tni ti)v OtEOSUVOlV 10(j Kraquo)Iatolt

T o oVCaHiput Ki)Jln i ICAi]O1 Kai laquotpOxoE10ilt~ 510tl t o xvoe tTjlt UpounduOipae bupa veio auto) ampival tPOXOEIO~e KUJJn()n filL 6-w yywatov Y(Iacpp tul lmo tUX6v crt09EPOV CTI1JJE[UV tvo KUI()OU KUAIOJJtvoO 6IJu~ h i ~Iae euSpoundia

0 IKAQt (not Ilaquol4fraL YEvEmoupyolt KigtKA~ Kai 11 QKlie tao aI)IpuAilt tUI 010 tau R

M io tOlUUtll -alnoAIl hel y pacpt) poundIe ro ax~110 5

EIlt to rpoX~15t KOJlQ tei ooottVO )IOplo OlC1YPtLtf)OUV t pOX I O~ neptaGorcpov 1 o)Ifd)l~pov KAEICtac tfl~ t6~ewlt toO poundapouc H Kato n]v OIUPKEIQV JJlllC nEpl050u T

To a(t~IJQ tOU KUjIOtOC nOlKiUEl t~OIPClLK(~ )Cai S~OptiitOl SK tOW atOrxciwv autcLlV Kill row TomKWv auvOllKulV

n n 1n -

-

rvlt~ 1 ~hii u~ll~~ T ~ ~ I ~ T ii ~yen u

ui ~t ~l (M bull ) x h Til - It + _ of

H M (911)lOttKn l)Jto lh OIC tnl rfl e 01006aE6gtlt t(Uv ruPIOIVri shyaEWV EVOlt tfllt )I~t lt at1pllEtOI d~ to on to KU)Ia 5poundv (Jovishyataral lino atpOPAtAAla)lOlx Kol 6 tt QltonApoundi )Iiav KiVllalV ~VfEAGl~ OOlPOpt AAOV mt toOtO tt QAAOO nporintEI tK lOG 9poundWpliJlalolt tOO Lagra ngl ltruJlCPCovUlt npolt t6 onoiov laquo n dshyaa tAe09tpa Kivtal e liaujlnd aT ou uypou (aapilt11tOe ) )I1] OUVEKtIKOi) ETval tV tE AWe 6 0 t p 0 j3 I A a e I)

Kato auvpoundnElov npEItEl Kata tflv 5ulooalv tl1e Kl vi]aEogtlt va t~aacpaAilETal fI ato6Epo r11 lt tGl v Jlolampv Kal taW nl tOUIlV tni tfl ~ ~Ae09tpae tnlcpaveiac

BEPalwt unupxoov nEpl1rr61crpoundllt KOS 6t oev SOvcl)lE9a va (I

yvo i)awlJev oore rri v cruvEKllICOtl1ta (tawtcptKli tP1P) tOO OSmot oorE rat tpl ~ci hi TOO rrue~tvoc OOtE aK6JJ (L tflv SlIjshyopaalV toO livt)loo 61tt tfle tnHpave[a ToOto 6)1Ul~ OUltrXE pavE Ell nEplcr06tEPOV tfl v OIEpEuv11alv nOvtogtlt TO K)~11 toO Gerstner Elva I to dtov 6nAcOv poundIe to 6notov JJnop01J)IE va KatOAi]~Ul~UV ola toO unoAoYlaJJoil al apxot toO 6nolou dvat

a Ko8e uoanvov )I6ptov KIVettatKata )It)KOlt )I14e npoundplcpEpEialt crta9Epoo JCUKAOU )If OtoSrpav )OOVlOK11 V raxut11fO Koi 510shytptXEI lnV tpoXlav t OO Kata rOioOrov rpbnov oocrte va SltPXUQI naV1orpound tK t Ou oV1Aortpou all)l(loo autl1~ to omiddot norov tivaYKaalulUc 90 anouAt auyxp6vltraquolt Kai to UVtAOshyt fpov mUlpoundov lTjlt KOS O4IOe poundlCtponTj tOO JCU)IOtae(KOptlcp11) jl~ SIEUSUVOlV Kal cpoPov taxultttlC tOu CJU)udmoooav JJe filv SIEU80vatv tft~ raxutTltoe OLoamp60CWC f00 lCu~atot 0 IJtXOshyVIOIJOe OUt ae CrnotEAtl rfl v KAcl~o SloS6aE(l)e rou JCUJl0tolt Ole eo rOCllIlEV KatCllttpw de ro KEcpQ)alov laquo(epooapoundoo~ tOO KUshy)IotOCraquo)

p H QKllVa 170 tftlt KUKAlKflt rpoXllu K l Vilae(~ t tbY Jlo piwv ~tOp1atal euroK 101) OllOue Kat roO 1I1] middotUUlt tOO KU)IO ro Ka9ltix Kal tK roll j3aSoult z toll KEVfpoU t oO KOKAOU ano tTj ~ t nuposhyvE tac flpEl1ia~ tflt 9aAaacrtt Kat JJEloilral JJEtel toil fktSouc

mOtouwc Kata tV poundK9EnK~v a XEatv t Z- = 10 e -2~~ Evea

yO = ~I _ i] clKti~ tTjt KUlCAIKfIlt t POXltle tOO Pont tt)e autll t

KQmKOputpoU EuplaKOJJivou poundn-lqlOVEIaICOO JJopioo Kai e _ = 2718282 i) j300lt tu)V NpoundrtepICllV A oyapl9)1Wv (tOE aXflilov 6)

439 lou)loC 1970

y TO 1l0pW to Cltota K~VOOVtal Kata IllJKO~ nEplcpEpElooV tooV onolrov to KEVtpa t(i)v KUKAooV EUp[OKOVtCll Et~ to auto pa80lt 7 ItEPLOtPECPOVtCll tlti t(i)v tpOXuuv nov Ilt ywviov av6AoyoV np6lt tv opLCovtiav 6noomatv x tooV KEVtPu)V t(J)v KUKAWV

2rrx 2rrl ) tooV ( ql = -r= r Kat Ilt tV au[v ItEPlcpEpElaKv

taxUt11ta et ou OuvciYEtal Em laquooAal ai ftEPlqlEPE10l ta~ cno[cu otO[ppoundxouv to Ilbpla ta EUPloKollEva poundni toO autoD ~a90ult ElvQt loavgt

Eav Aa~oojlEV rot a1ovu t(l)v tEtjlTlJlEVU)V x bi tol) thuatpou tm1tioou tij~ 9aA6oolllt Kai ltapaAAIlAOV npolt tIlv OIEU9uvcnv toO KUjlatolt Kal cblt osova tillv tEtaYIlpoundVWV Z KataKOpucpoUv ItpO~ to ~6Solt tOU to 1l0PlOV to onotov otpEcpCtal ntP1s toO C1l1IJe(OU XII Zo Sa EupioKEtal Etlt XPOViKV OtIYIlV t EIlt

tilv 8poundOIv

x = X o + R (OS ( 2~~ - tp o )z

= oj + R sin (2 t - lt10 ) z

1 11 0

Evea Rz = R e - L- ~ 0Kt1lt toO YEVEOIOUPYOO K)KAOU

2ltx o EU fa90lt 7 Kal ~o - -L-- Tl olacpopa paOEooV IlOpioushy

mlYilltmiddot

0 Larras anooEIKv0pound1 jla8rlllatLKwlt Otl OJ(i va onotEAoDv a[ avrotpoundpw ESIOcOOEIlt AUOIV tOlgt npo~Ailjlatolt tijlt olaoooEwlt tillt KIVrOEWlt Enl (xnEipou ~aeoult npcnEI

2lt ltL r = 2rr-shy-C- - R=O Kal g-~=O 6te g

0 Stokes tAUPEV Wlt OUVajlIKOV tQXUtllT(iW Tilv ouvaprl101v

- 2lt11Le - - (l X)ltlgt =- Ro - middot C052lt T- LTshy

Tllt 6pr~cl Tilv 016000lV Ilf ora9Epav tOXUHlta Kat civEU IlEshyta~oAillt ToD crxijllatolt 1l1ilc nEpLooIK~lt KlvtlOEoolt tvrolt 100 xoopou a1tpoundplopiotoolt 6va1tapaYO)lEvlt

Ala vO toxuo TO avoorEpoo ouvalllKOV o~middot Eva KOlla IlEtaot80shyIlEYOY tnt CIltE(pOU P690ultnppoundnEt va anoSEtx9ij 6rt ttaocpn)lmiddot ~6((1l KaTa rv Kivl1mY 0((19Ep6r11lt f(J)V Ila~(ov KQi rroy 1tIEmiddot OEWV tnl tiJlt H w9tpae poundnupoYEialt rillt 9uMiool1e

npEltel AoLnOV b~ CrOU)IltLEOra uypd Kai ola morxwigtampl1 jld~av

au Oudxdz - I -- = 0 (uu 6Pl~Ovtia Kal KUmKOpUlpolt tClxu

Ox az fli(1) f)q)

[11lt) 1 6x + OZ2 0 fJnlt npaYllan e1VUl rOll ~lt shy

4r i 4lt - Ti (]gt + Lz cIgt = O

H OTQ9tp6Tl1lt AOInOV roov Ilnlroy nAI1POUTClI uno Tile ltJgt

Aa)lpltivovm nlv E1trraxUVOlv ti)lt OTOIXElroOOUC JtIi~ l1 lt d xd z ItUKVOtIlTOlt P Eilt nvu XPOVIKTlV OtIY)ITlv fnlt 1tpmcl)1[rEl tic ouvouaO)loO ~apoult Kal blacpopalt mpoundoerov t(J)v boo O4lEWV TOO cnO~XElOOOOUlt O-YKOU dx dz hOlltv

f)u Bp 0 p -~- - ~ (pgz-p)

dl Ox Ox

p ~~pg_66P ~- (pgz-p)66 dt z z

6 (6$ t ) 6Ox p iil ~middot 2 p (u +) ~ ex (pgz - p)

z (p 601-+ ~ p(U )) = z (pgz - p)

Ote -~~ + -- (u il - u-) --- ~ - gz = ow9

napaYtJYyiCOYf~ We npOc l Kat nopaAElftOvramplt toUe opoult Tt1~ aVu)TipaC TO~EIDlt dlt t v npOOT11v OUVQIlIV tijlt KUPT6tl1foc EXOIlampV

1 Op Oz ~-- - g -~ O

p 61 6l

6la va loxuu AOlnov namppirrtooOlC tflt ota9amppOtlltOlt nov Itltmiddot oEIDV tni tlllt tJEu9tpalt eurortllpave(alt ItptnEl

Op Ogtgt 6$at = 0 6tpound Kat 0iI- g oz = 0

(hEIOn ~ = u = ~~) t~ n~ E6K6)~~ ftpOKUnt~1

T ~ y2rrL g

E7t[OI1~ aooel tillv auvapTroewv cIgt fXOllev KaTa IlflKOlt )IUl~ ypa~~~

- 2n~

6x 6lt1gt 2r- I -~ (l X ) ot = u = ~ = - T io e sin 27t T - L

- 2n - 2n R - 1- 2- T oe middotcos rr - (+- ~)

x = x + Ry cos (2~t - tV)

(2rrl )z=l r+ R 1 s1n -T- - ~

vo~ R R - III I 27tx 27t I QU i- 0 E tV = ---C-- m = L Ka

T6 a01p6pIAoV AOlnov 1(0)la TOI) S t okes jlpound OUYQIlU(OY roshyXUT~TWV anoTEAei AUatV tou npopAil~Qtolt tlJc jlETU060E~ TOO KUllaTolt poundnt a1tELpou PciSoue (Ka8cix Kat tlti ata9Epou Pcishy90ult Mv oVtLKaTaOtijowllcv pound1e TCu ltivw EtlociloEle tOV h9tshyTllV 81 EVOlt U1tEpPOAIKOC auvll)1ltOVOu Cosh) nAllPoCoa Tae ItPOU1t09Emllt tijlt 0tClSep6tlltolt HOV )Inlillv Kat toov mpoundoEoov Ent tflt tAw9poundpalt poundnLcpavE1cu Ai ttIOOOmIlt autal O)lOI6~ouv aKpl~amplt )It 0lt npol1You~va~ toO KU)IatOlt Gcrstn el nashyparnpOul-lEV 6JWC to tl(1tAnl(nKOV 1tapaootov 6n to a01p6shyhAOY KOlla rou Stokes vn auVTaul~pound(al 11pound TO oTpOPtAillshyamp e TOO Gerstner Tol)to OIlWlt looouvallEI Ilt [0 vei crvyKpishyVU)1lEY jllay cil(PIPIl tl(cppaolv )Ii ~iQV I(Qra npoOEnlOI V ~ (mOl Q an01E-ei jleplKtJv AUOtV TOO npOPAilllQrOc Iln y ywpishy~ovTelt ntpav aOTlJe tay t~aoAou900v Ii 611 va OUjlnimouv

Me[E1tE1Ta Epeuval TOi) R a nkine (tv auvExeiQ t (J)v GerStn er 1802 Bertin Bouss inesq Airy J845 Kat S tok es) aJttbelSaV 6n Elml ouvatov va QvtIKataoijooollpoundV TV ytveolv tflt [POXOEIOOlgtlt KallrroAI1lt (Sui KUJioEWlt KUKAOU) cpaVta~Ollevol u8advnv )Iti~av nEpioTpECPOlltVllV tnl KawKopucpOU poundmlteurooou ntP1t OPI~OV[lOU li~ovoC I(ai 6n poundtlt Illav Ila~av uypoO (~apushyt11roc) TOO ono[ou fa )lOpla 1tEplorpeltpov[QI 61l0 101l0 PQXJllt eilt ~YQ Kudov tJ tPOXOEISi]o t1tlcpQvEla mO KU)Iat oc 1tAnpol TOy 6 pov rli lt 61l0tDIJOPPi cu Troy mEowv TowDrov [poxOshyEIOtlt npoltPlA lil1jlIOUpythol lilO nEplorPOPillt Kurw6EY E(9EI(1e -ypajl~ijlt tvolt KUKAoU fOC Onolou ~ Olnilt Elval iall 11pound r1v TOO KWVIKOO EKKPE)IOtk 6nep avaKUKAollTal jlpound T Y ililUV nEplshyobov 1 Tillv OOOTLVWV popirov altooeitw 6(1

l = V2rrL ai C ~ --I ~ 1gL g V 2rr

-Enioqlt afttosLtEv on Kata paSolt at aKTlvpoundlt fpoundilv tPOXIpoundilV J[Eplcrrpocpii~ [oov Ilopiwv I-lELOCv[al KaTa YEoollCfPlKI]V 1tp60shy

SOy Jtt ACYOV ~ K096gtlt to PaSolt auaVEl KOTO apI91l11nKV

3z npoooov -2 z ~ 27 I(TA

To pa90~ ~XPl mu onolou t KlVl1allt t ill v 1J0p(wv jluoSishyOHm tsaptntal a1t6 [0 IliiKOlt L TOO l(u)ICtroe roi KaTa nOAlgt OJt-yOOTEPOV lti7t0 fO EUpOlt H a01OO 0 R a nkine tnlolllt npooshy

Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

~A~lOV Jtp0ltJoxfc tU(XQVEI to (pound(ov~ un njJopCJ)il Td)V KOposhy

II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

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Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

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ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

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Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

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0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

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I

-- shy- ~

LX lOa EvetnTtl(ol rQoxoft6ir XUltO xora 1 try - Iaplacl

tflv Cf uvOEouallv to atOIXEio roD KUjl lltOC

L V~Iol -- - ~ - 19hmdT ~~

T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

Eilt tOV nU9IJEVO 69EV lO 1J6pto nDAAOVTal EU9oypcJlJlUX Koi nopaUijAUgtlt 1lpOC tr v ErtUpaVEtaV oUToD JI eTQ~V t oov Buo o-ra9EpUlv tanoov TooV poundAApound(jIpoundooV

42 1 lhraJoJr TOU V1pOVr T01 I(tu(lTO( H

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middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

H IJETaqgtEpOIJpoundVl) OlJffie tVEpyElo N 01(1 tile nEpt 68ou T TOO KiJshyJIutoe ~eTOCU n09IJtvoc Kai ic Emqgta ve [oc tfle 9oAaaol) C tl vOl

0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

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- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

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= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

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Ot nivuKllC II 12 13 14 Kal TO b16YPUPI1Q 15 Sellcvuouv TOI Iurrapo)(u ra(ITaI

423 Jhraf3o)~ n ii JtQIOOOV rm) kuuaro~ T

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

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7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

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H JlEyicHT] 6PlCOvtia raXlHT]~ toO )lopiou ElvClI eurov tOlClUt(1 ftEpl1nrocrEl

21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

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louAlo~ 1970

2

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poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

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tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

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Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

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middotlouMo~ 1970

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

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Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

TEAeUTOioo taut I ~OJlpoundVOU )If TO ICOtOI(OPOqlOV p~twnov avamiddot ltaCJEWlt (IS ox~a 20)

Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

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V gtltgll

4Ttd Ld si nh -r

n) H ni rm TOO uoaTO IlETCllaAAETDI 1tpoundPIOSIK6X Xa-yo IlliKOC TOO A1tLnU50u avoKAOaECUC

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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449 lou~Lo~ 1970

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n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

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~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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451 louALOC 1970 Tcxvuco XpOVlllCo

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

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Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

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p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

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455 10()10lt 1970

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~56 lou)lo(j 1970

toltO TO OUviSPIOV toov Bpu~U_(jV T6 19)5 6ne~aOlaE tnEshytlKWC ~e Tliv 81(Jvo~llv t6)v 1t1 EOI(J)V Em KUTUt0pUljlOIJ ~flWshyltOO poundvoe KUllaoc TOO 6noiou TO ptjKUlt elval jlEyUAO tv 0((0pound1 Ile TO Gwoc Tot) l L 20 middot_middot 25 H) Iwi TO 6nutuv SLlzSO~tlll tvtOr v8ato~ tou 6no(ou to BuOoo elval UPKETpoundC poundpapEC IJEyashyllrrepov toD OW-oult TOI) KU~l(l tOC H 6tl

CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 3: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

--

411 ouAlot 1970

nINA= 3

middotAvO~ I - -f--- shy

12 ilipal6Uval~ I K6P~ I6 ropal

--~--~--~----~shy

L c1 c 1 H L I L HL i e 3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 7 2-5 60 10 5

120 15 8 230 21 12 320 24 17 410 28 23 550 32 1 30 670 35 I 37

M~ I 11 140 16 270 22 410 27 560 32 740 36 900 43

5 9

14 21 29 36 50

75 12 150 17 180 23 470 29 680 35 900 41

1150 46

5 MAX 10 MAX 15 280 23 15 23 480 30 23 33

4255

I

690 950 900

36 42 47

1 I

33 44 56

L = ~fllo~ KUjWOo do R60la (J K6J1~00 = 1 nm C = uxUtn do KOIlPOOo ova 6tpav H = JWOO KUllaoo do noblo

nINA= 4

MECol)oAat tGlv KOllcurov ouvapniOEI 00 AvontIYlla-coo F

yen AVElla Av01ttu)IlQ F dO nm-1------ -shy- 10 50 100 500

------ I c L c H L c H _1-_1 __ L I c L~_

3 4 5 6 7 8 9

10

9 13 18 24 30 36 43 51

25 40 75

110 140 180 210 250

7 9

12 14 16 18 20 21

65 125 210 260 330 420 500

H L tio n60lCl Kui C Eio 1(OJlPOOO avO oopav

v(J)v KUllaWVa oRola RkJinouv to 80AuOOIQ epyo elVal 1(at O1tOUoa[a Kat 000)(0)00 1la 0CtO Ou6~ 1(awqJtuyolltv de 61tAoltOlnOElo lctlV ItPOPATlIlCltCuV Koi dO un pound68ELao rraposhytnpllOpoundto Kat KOtoypocpn~ tl)v CTo lxpoundirov I)v 90poundAAwol)v ICUshyIlntwv

To ilwo taD KUllatOo E~CJptotat illo poundIvai qlUOUov aRO to oishyHOV 1tClpaywyflo 1011 Kat Iampv 0mKI)v OUv9lKI)V Stv ElVOt 6Wuo oOVO-l60 fiui t au 6vWlE pw 6vacppoundpo~VOlo AOy oult6 JJOshy9111laTI1(60 OrrOAoYlOJOo ou Au) teD to KUtaqJEUYOJtv poundIt lJashyKpoxpovl ouo KUWjlttpTiOtto OOtoO t ti EIl1tpoundlptKOiu lurrouo Elval pE[3alov nelvtuk Kai tODTO tXpound1 onooetx6fl OOOV EIC noshypaTllPJiOpoundWV poundlc niv (flUcnv 600v KUl EV l Ep)oOlnpicp chi Ilt~ (hvo ~~up161Ql lmo l1)v tUXUTlTO toO UVEIlOU l1)v )uipshyKELOV aOTOI1 1C01 h 00 uvarrtUylJoToo 100 KUjlUlO O 0 Steshyvenson fiHipoundl TOUO nvu1(poundt )KOt 4 01 Orrotol KUTanpOaEYYlOlV 511ioov to OlolxEfa H L Koi C 100 KUIlUtOO nvoAo-y~ lfe EVshylaOpoundooo 100 aVEllou OUVopTiOEI lfl~ OIUPKpoundio~ roD avtjlOl KOl taD avanmiddotnmlQIOo toO lCUIlUlOO oVTIOTOi Xroo

OoVTWI 016 t6v Ko90Pl01l0V Toll UWoue ToD 1C0lloTOo pound(fl OOOV btv tmapxolv rcpaYjlu1tKal Kuoypacpui (oui naAllo-yp6rprov) ot KotWTEpOO I(mol IOl) Steve nson lonavouv poundUptlUo ECPUPshyJoyfl Kui poundVOpoundiKVOlat va XPTlOLllonOIOOvtoL

H = 045 1F 0 F gt 50 In H = 045 VI -r (075 - 030 1f) Oil F lt 50 nnI

l H eo m F = tl~ VOl1tKCz 1JiAlo nm)

I I

I II 15 20 22 25 28 30 I

4 7

12 15 20 25 31

-75

150 260 350

450560 650

I

I

12 17 22 25 29 32 35

5 10 14 19 25 32 40

280 480 690 880

1100

23 30 36 40 45

15 23 J3 44 56

0 Larras ciVOqJEPpound1 TOU KUTrotEp(O Imouo J

H = 037 11 L = 3J 11 H = 120 VF

( H Kal L dO m Koi F poundto Km)

or Im01 OU10l poundIVUl KOl uUloi KOTa npOOEYYIOIV Ioi onovlux O1lIlqxtgtVOOv 1Jpoundulu TroV 01611 to (l Wegtlt 00 KVIl010o 8EV ~~apshyTOtol 1l0VOV tK LCD irvOfttlryjloegtlt 6AMl Kol h Toll aVEIlOlJ

-EIpoundpo v lunov OUVUPTtiOEL lfe mXUtntoo ToD elVEjlOU W tlo TlV aUTJiv Coovrv OXlIlUIIOIl00 tol) KUJCl[Oe oi5EI 6 Larras TOV H = 0025 W~ (H poundto m Koi V Eio mscc)

Kul 6 Tunoo 00100 ~O)Jov Mv OujlqJoovEl navTo[pound IlE 1(10 nClpashyl1pTOpoundIO St6tt H) IlhIO[QV UIIOO toO KUlloTOO OEV pound(VUI COvOpshyIl010 1l0VOV 1110 [Q(tJUIO~ V 0))0 Koi flt olapKEiao nvofle toD oVEJ100 Aiel nEpLWplOIlElQo hTtlaEIe 05- 200 Km Koi npoundshyPIWptOjlEVa Pa6l 6 Darbushire OlOpound1 to IlpoundYIOTOV 01100 Kat ltv npoundpiooov oln lGlv EIlJtpoundIPlICGlv UltWV MA X 1-1 = 00076middot y Wl

T = 164 yyw Evea W it [QXUTTlO loD 6vpoundlloo poundi III sct

F + 3F~ + 66 F y = P o liP r 260F + 80

6nol F = 16 6VU1tTlYfjlO TOO KUIlOTOO ei Km

TXVtkO XpOVlkG louAlor 1970

EIC t WV Qvwtpoundpogt 1tlvQICWV dVOl (pOVtopOV 6ll I tTr(tEU~llt tampv )IEyicrroov tl)lGlV tampv (HOlXEWV )I11KOOlt iilvoult nEploSoO KO tOXUtTltOl TOO ~OtOlt Sty t~UptGlVtal )IOVOV h Tflt evtoshyaEOJlt tOil ovtjJOU Kol b tOO OV01tnJY)lOto~ tOO ripOtOt oA)o ICol h t1lt 8IapKpoundialt 5pQ(JampOJ~ t oi) Oveuro)IOO KUpiogtlt 6t t06 npwshytau l6Wpou Ei e tfl v tKtilJTlatv ogev TOO IJEYIOtOU 6VOUt TOU aoJJlOtOlt 0 Jl FApoundlTllfl MTlXOVIKOlt npenEI vii Elval Aiav npoaEshyKtIKOt wate Sui (J)JlnAI1PWlJotIKWV nopotI1Primwv fl atOI shyXClWV va tMY~l] TO ~K 1ttlV poundJlnClpuGw tonwv (moAoYIlojlevov ~Ylatov UWOC toO Kraquo)I010lt middot YnEpEKti)lI1Ol~ roi) )IE- i arou iVo~ anOtdE[ anOt(lA11v tv(p ri unolill11Ol~ 011)110upycl Kivshyouvov KOToaTpocpfl~ toD ~Pyou EnlopaUlv poundnia11~ tnt t oO jJEshyt iCTtI)u UWOOlt EXEI Kat to ~90r tOO no9)1tvo~ AKOjl11lO )I1K~ 100 KUjlOtOt aO~IPaAAEI UoCPPampt cllt triv aVa1tlU~IV tOO IJEyishyOtOU uVoult olon npoj3oAACI np6lt tOV iiVEjlOV )IEyaAulepov tntqgtOVEIOV KOt )IaAlmO ouxl 6plovtlav

To OV~ Mev 100 K)jlalOt O~oVEI auvEX~ )Ie lli v SIOPKf trri opaaw toO OV()IOO cpSoVEI SA tnV JlpoundYicrrv H)Itlv lOU JlEshy

10 ano SIUPKEIOV SpaaEWlt 100 OvpoundJlOO 10 1H rupG (to H pound1lt m) i) 16 W IDpOOV nEplnou (V tIlt JleurotpO civa sec)

TO KU)Iato ano)loKpuv6)1EVQ t~e ncploxfle YEvtaEcllI tWv apxi~ou ppobtwlt va XclVOUV EvtPYCIOV ACrt41 tf~ OvtlcrtaaEUgt til UtjlOCTCPOLp0lt toOtO ot npoKaAti )IEta(klAflv pound1e tOV tunav tOO tru)lOlOlt )IEicooIV tOO OWOUC Kol cr(j~tOLV tOO )InKOUC OUshyTOO OOt W tvo KO)lO H = 45 mL = 90 m Kol T - 7 sec IJEUi ano Siaopo)l l)v 2000 n m Eupe91 Jlt ltrloIXpoundia H 06 - 15 OIL = 400111 oi T = 16 spc EVSE1KtlK(blt a voq)tppoundtOI (5(1 KOro npoatY-Ylalv ro KO)lo xovrt to 23 roll 611OUlt 100 Jlucl ono tr) v 1)taopo)lr) v r~v npdHWv 1000 Km tv auvpoundXpoundq Se )IEIOOral t o Evuno)Jivov UWolt avO 51aSpOjll]v 2000 Km KaTe) 20 ~OCfoV ala middott1V JJctoj3oAflv t(bv atolxpoundiwv TOO IJ~KOUC toO KU)IotOlt Kat rf]t nEpl6800 autou mom j~(iPt(bVtOI 6n6 tflV lUXUt11tO toO c1VpoundIJOO Kat ano tl~V neploxriv tnt 1~lt 6noia~ opo 06tOlt

-4 AvQuau rilt 6la66olWt kal OX~Q rilt tm+QYdat TOO kU~QTOt

41 Aut p6Go nuGJJflOlt d OJ r

Oi npWlol aaxoAIIStvn~ IJE rfl v aVaAuatv toO llXQVta)loO t(Uv KOJlCltWV t(i)v OIOOtOOJlpoundVltllV tvt6lt p09t~ CSaloc flaav EIlt lru BpettQvtKU~ vftcroue o Robertson Scott R us1 Kat iry cit tilY rtPIJUVlUV a yenIbe r dt ra)av o Bcrlm Boussi nesq oi Debc lI01ze Kai tv A OCftpiq 6 Gers t ner

npci)tOt 6 OersLn er ( J 802) ~ 00 Ku i n ovo)laaia I(KOJJO G I I~ ln e r )) tlvpoundn w ll tflv 9Ewplav IJEtaS6alwlt t(Uv od(i)v KUAIVSPIKOOV lOJ)I cnwv hi anEipou J1i90olt )Cal f ScooE t e JlU shy9TUIUllKIlt poundtIOli)aCIt atttVEt auv5touv r6 6110lt to Jll1KOlt Kul rflv ntplooov t(i)v KOllnwv aro9Epo(j runoo H SpoundOOpla roO Gerstner lmpF OOIWSll 1)10 nElpOjllhwv Ele tnV A Aypoundp iov uno roO A i to 11

( A rrAoCv KUAtVOPIKOV KGlJa KOA6itai fI o l uooalt fvt6lt rOu xwPOU )Ie ataSEpaV ~ a X U t 11 to K a i Ci v E U pEt U P 0) Tj c toO cr X ti JJ a t 0lt JJLa ~ rreploSIKft Klvi]aEWlt anpoundpl opfa tw e avan 0 pay a JJ e v t t II

T o 6nAOUotampflOV t (bv KUlJalCll V livQl ro OI06106)IEVOV hi ushyn~ipou t a ra9tpoO PlOovc Kal wi) onoiou al KoputpuypaJlJlol poundivot K0gelOI tni ti)v OtEOSUVOlV 10(j Kraquo)Iatolt

T o oVCaHiput Ki)Jln i ICAi]O1 Kai laquotpOxoE10ilt~ 510tl t o xvoe tTjlt UpounduOipae bupa veio auto) ampival tPOXOEIO~e KUJJn()n filL 6-w yywatov Y(Iacpp tul lmo tUX6v crt09EPOV CTI1JJE[UV tvo KUI()OU KUAIOJJtvoO 6IJu~ h i ~Iae euSpoundia

0 IKAQt (not Ilaquol4fraL YEvEmoupyolt KigtKA~ Kai 11 QKlie tao aI)IpuAilt tUI 010 tau R

M io tOlUUtll -alnoAIl hel y pacpt) poundIe ro ax~110 5

EIlt to rpoX~15t KOJlQ tei ooottVO )IOplo OlC1YPtLtf)OUV t pOX I O~ neptaGorcpov 1 o)Ifd)l~pov KAEICtac tfl~ t6~ewlt toO poundapouc H Kato n]v OIUPKEIQV JJlllC nEpl050u T

To a(t~IJQ tOU KUjIOtOC nOlKiUEl t~OIPClLK(~ )Cai S~OptiitOl SK tOW atOrxciwv autcLlV Kill row TomKWv auvOllKulV

n n 1n -

-

rvlt~ 1 ~hii u~ll~~ T ~ ~ I ~ T ii ~yen u

ui ~t ~l (M bull ) x h Til - It + _ of

H M (911)lOttKn l)Jto lh OIC tnl rfl e 01006aE6gtlt t(Uv ruPIOIVri shyaEWV EVOlt tfllt )I~t lt at1pllEtOI d~ to on to KU)Ia 5poundv (Jovishyataral lino atpOPAtAAla)lOlx Kol 6 tt QltonApoundi )Iiav KiVllalV ~VfEAGl~ OOlPOpt AAOV mt toOtO tt QAAOO nporintEI tK lOG 9poundWpliJlalolt tOO Lagra ngl ltruJlCPCovUlt npolt t6 onoiov laquo n dshyaa tAe09tpa Kivtal e liaujlnd aT ou uypou (aapilt11tOe ) )I1] OUVEKtIKOi) ETval tV tE AWe 6 0 t p 0 j3 I A a e I)

Kato auvpoundnElov npEItEl Kata tflv 5ulooalv tl1e Kl vi]aEogtlt va t~aacpaAilETal fI ato6Epo r11 lt tGl v Jlolampv Kal taW nl tOUIlV tni tfl ~ ~Ae09tpae tnlcpaveiac

BEPalwt unupxoov nEpl1rr61crpoundllt KOS 6t oev SOvcl)lE9a va (I

yvo i)awlJev oore rri v cruvEKllICOtl1ta (tawtcptKli tP1P) tOO OSmot oorE rat tpl ~ci hi TOO rrue~tvoc OOtE aK6JJ (L tflv SlIjshyopaalV toO livt)loo 61tt tfle tnHpave[a ToOto 6)1Ul~ OUltrXE pavE Ell nEplcr06tEPOV tfl v OIEpEuv11alv nOvtogtlt TO K)~11 toO Gerstner Elva I to dtov 6nAcOv poundIe to 6notov JJnop01J)IE va KatOAi]~Ul~UV ola toO unoAoYlaJJoil al apxot toO 6nolou dvat

a Ko8e uoanvov )I6ptov KIVettatKata )It)KOlt )I14e npoundplcpEpEialt crta9Epoo JCUKAOU )If OtoSrpav )OOVlOK11 V raxut11fO Koi 510shytptXEI lnV tpoXlav t OO Kata rOioOrov rpbnov oocrte va SltPXUQI naV1orpound tK t Ou oV1Aortpou all)l(loo autl1~ to omiddot norov tivaYKaalulUc 90 anouAt auyxp6vltraquolt Kai to UVtAOshyt fpov mUlpoundov lTjlt KOS O4IOe poundlCtponTj tOO JCU)IOtae(KOptlcp11) jl~ SIEUSUVOlV Kal cpoPov taxultttlC tOu CJU)udmoooav JJe filv SIEU80vatv tft~ raxutTltoe OLoamp60CWC f00 lCu~atot 0 IJtXOshyVIOIJOe OUt ae CrnotEAtl rfl v KAcl~o SloS6aE(l)e rou JCUJl0tolt Ole eo rOCllIlEV KatCllttpw de ro KEcpQ)alov laquo(epooapoundoo~ tOO KUshy)IotOCraquo)

p H QKllVa 170 tftlt KUKAlKflt rpoXllu K l Vilae(~ t tbY Jlo piwv ~tOp1atal euroK 101) OllOue Kat roO 1I1] middotUUlt tOO KU)IO ro Ka9ltix Kal tK roll j3aSoult z toll KEVfpoU t oO KOKAOU ano tTj ~ t nuposhyvE tac flpEl1ia~ tflt 9aAaacrtt Kat JJEloilral JJEtel toil fktSouc

mOtouwc Kata tV poundK9EnK~v a XEatv t Z- = 10 e -2~~ Evea

yO = ~I _ i] clKti~ tTjt KUlCAIKfIlt t POXltle tOO Pont tt)e autll t

KQmKOputpoU EuplaKOJJivou poundn-lqlOVEIaICOO JJopioo Kai e _ = 2718282 i) j300lt tu)V NpoundrtepICllV A oyapl9)1Wv (tOE aXflilov 6)

439 lou)loC 1970

y TO 1l0pW to Cltota K~VOOVtal Kata IllJKO~ nEplcpEpElooV tooV onolrov to KEVtpa t(i)v KUKAooV EUp[OKOVtCll Et~ to auto pa80lt 7 ItEPLOtPECPOVtCll tlti t(i)v tpOXuuv nov Ilt ywviov av6AoyoV np6lt tv opLCovtiav 6noomatv x tooV KEVtPu)V t(J)v KUKAWV

2rrx 2rrl ) tooV ( ql = -r= r Kat Ilt tV au[v ItEPlcpEpElaKv

taxUt11ta et ou OuvciYEtal Em laquooAal ai ftEPlqlEPE10l ta~ cno[cu otO[ppoundxouv to Ilbpla ta EUPloKollEva poundni toO autoD ~a90ult ElvQt loavgt

Eav Aa~oojlEV rot a1ovu t(l)v tEtjlTlJlEVU)V x bi tol) thuatpou tm1tioou tij~ 9aA6oolllt Kai ltapaAAIlAOV npolt tIlv OIEU9uvcnv toO KUjlatolt Kal cblt osova tillv tEtaYIlpoundVWV Z KataKOpucpoUv ItpO~ to ~6Solt tOU to 1l0PlOV to onotov otpEcpCtal ntP1s toO C1l1IJe(OU XII Zo Sa EupioKEtal Etlt XPOViKV OtIYIlV t EIlt

tilv 8poundOIv

x = X o + R (OS ( 2~~ - tp o )z

= oj + R sin (2 t - lt10 ) z

1 11 0

Evea Rz = R e - L- ~ 0Kt1lt toO YEVEOIOUPYOO K)KAOU

2ltx o EU fa90lt 7 Kal ~o - -L-- Tl olacpopa paOEooV IlOpioushy

mlYilltmiddot

0 Larras anooEIKv0pound1 jla8rlllatLKwlt Otl OJ(i va onotEAoDv a[ avrotpoundpw ESIOcOOEIlt AUOIV tOlgt npo~Ailjlatolt tijlt olaoooEwlt tillt KIVrOEWlt Enl (xnEipou ~aeoult npcnEI

2lt ltL r = 2rr-shy-C- - R=O Kal g-~=O 6te g

0 Stokes tAUPEV Wlt OUVajlIKOV tQXUtllT(iW Tilv ouvaprl101v

- 2lt11Le - - (l X)ltlgt =- Ro - middot C052lt T- LTshy

Tllt 6pr~cl Tilv 016000lV Ilf ora9Epav tOXUHlta Kat civEU IlEshyta~oAillt ToD crxijllatolt 1l1ilc nEpLooIK~lt KlvtlOEoolt tvrolt 100 xoopou a1tpoundplopiotoolt 6va1tapaYO)lEvlt

Ala vO toxuo TO avoorEpoo ouvalllKOV o~middot Eva KOlla IlEtaot80shyIlEYOY tnt CIltE(pOU P690ultnppoundnEt va anoSEtx9ij 6rt ttaocpn)lmiddot ~6((1l KaTa rv Kivl1mY 0((19Ep6r11lt f(J)V Ila~(ov KQi rroy 1tIEmiddot OEWV tnl tiJlt H w9tpae poundnupoYEialt rillt 9uMiool1e

npEltel AoLnOV b~ CrOU)IltLEOra uypd Kai ola morxwigtampl1 jld~av

au Oudxdz - I -- = 0 (uu 6Pl~Ovtia Kal KUmKOpUlpolt tClxu

Ox az fli(1) f)q)

[11lt) 1 6x + OZ2 0 fJnlt npaYllan e1VUl rOll ~lt shy

4r i 4lt - Ti (]gt + Lz cIgt = O

H OTQ9tp6Tl1lt AOInOV roov Ilnlroy nAI1POUTClI uno Tile ltJgt

Aa)lpltivovm nlv E1trraxUVOlv ti)lt OTOIXElroOOUC JtIi~ l1 lt d xd z ItUKVOtIlTOlt P Eilt nvu XPOVIKTlV OtIY)ITlv fnlt 1tpmcl)1[rEl tic ouvouaO)loO ~apoult Kal blacpopalt mpoundoerov t(J)v boo O4lEWV TOO cnO~XElOOOOUlt O-YKOU dx dz hOlltv

f)u Bp 0 p -~- - ~ (pgz-p)

dl Ox Ox

p ~~pg_66P ~- (pgz-p)66 dt z z

6 (6$ t ) 6Ox p iil ~middot 2 p (u +) ~ ex (pgz - p)

z (p 601-+ ~ p(U )) = z (pgz - p)

Ote -~~ + -- (u il - u-) --- ~ - gz = ow9

napaYtJYyiCOYf~ We npOc l Kat nopaAElftOvramplt toUe opoult Tt1~ aVu)TipaC TO~EIDlt dlt t v npOOT11v OUVQIlIV tijlt KUPT6tl1foc EXOIlampV

1 Op Oz ~-- - g -~ O

p 61 6l

6la va loxuu AOlnov namppirrtooOlC tflt ota9amppOtlltOlt nov Itltmiddot oEIDV tni tlllt tJEu9tpalt eurortllpave(alt ItptnEl

Op Ogtgt 6$at = 0 6tpound Kat 0iI- g oz = 0

(hEIOn ~ = u = ~~) t~ n~ E6K6)~~ ftpOKUnt~1

T ~ y2rrL g

E7t[OI1~ aooel tillv auvapTroewv cIgt fXOllev KaTa IlflKOlt )IUl~ ypa~~~

- 2n~

6x 6lt1gt 2r- I -~ (l X ) ot = u = ~ = - T io e sin 27t T - L

- 2n - 2n R - 1- 2- T oe middotcos rr - (+- ~)

x = x + Ry cos (2~t - tV)

(2rrl )z=l r+ R 1 s1n -T- - ~

vo~ R R - III I 27tx 27t I QU i- 0 E tV = ---C-- m = L Ka

T6 a01p6pIAoV AOlnov 1(0)la TOI) S t okes jlpound OUYQIlU(OY roshyXUT~TWV anoTEAei AUatV tou npopAil~Qtolt tlJc jlETU060E~ TOO KUllaTolt poundnt a1tELpou PciSoue (Ka8cix Kat tlti ata9Epou Pcishy90ult Mv oVtLKaTaOtijowllcv pound1e TCu ltivw EtlociloEle tOV h9tshyTllV 81 EVOlt U1tEpPOAIKOC auvll)1ltOVOu Cosh) nAllPoCoa Tae ItPOU1t09Emllt tijlt 0tClSep6tlltolt HOV )Inlillv Kat toov mpoundoEoov Ent tflt tAw9poundpalt poundnLcpavE1cu Ai ttIOOOmIlt autal O)lOI6~ouv aKpl~amplt )It 0lt npol1You~va~ toO KU)IatOlt Gcrstn el nashyparnpOul-lEV 6JWC to tl(1tAnl(nKOV 1tapaootov 6n to a01p6shyhAOY KOlla rou Stokes vn auVTaul~pound(al 11pound TO oTpOPtAillshyamp e TOO Gerstner Tol)to OIlWlt looouvallEI Ilt [0 vei crvyKpishyVU)1lEY jllay cil(PIPIl tl(cppaolv )Ii ~iQV I(Qra npoOEnlOI V ~ (mOl Q an01E-ei jleplKtJv AUOtV TOO npOPAilllQrOc Iln y ywpishy~ovTelt ntpav aOTlJe tay t~aoAou900v Ii 611 va OUjlnimouv

Me[E1tE1Ta Epeuval TOi) R a nkine (tv auvExeiQ t (J)v GerStn er 1802 Bertin Bouss inesq Airy J845 Kat S tok es) aJttbelSaV 6n Elml ouvatov va QvtIKataoijooollpoundV TV ytveolv tflt [POXOEIOOlgtlt KallrroAI1lt (Sui KUJioEWlt KUKAOU) cpaVta~Ollevol u8advnv )Iti~av nEpioTpECPOlltVllV tnl KawKopucpOU poundmlteurooou ntP1t OPI~OV[lOU li~ovoC I(ai 6n poundtlt Illav Ila~av uypoO (~apushyt11roc) TOO ono[ou fa )lOpla 1tEplorpeltpov[QI 61l0 101l0 PQXJllt eilt ~YQ Kudov tJ tPOXOEISi]o t1tlcpQvEla mO KU)Iat oc 1tAnpol TOy 6 pov rli lt 61l0tDIJOPPi cu Troy mEowv TowDrov [poxOshyEIOtlt npoltPlA lil1jlIOUpythol lilO nEplorPOPillt Kurw6EY E(9EI(1e -ypajl~ijlt tvolt KUKAoU fOC Onolou ~ Olnilt Elval iall 11pound r1v TOO KWVIKOO EKKPE)IOtk 6nep avaKUKAollTal jlpound T Y ililUV nEplshyobov 1 Tillv OOOTLVWV popirov altooeitw 6(1

l = V2rrL ai C ~ --I ~ 1gL g V 2rr

-Enioqlt afttosLtEv on Kata paSolt at aKTlvpoundlt fpoundilv tPOXIpoundilV J[Eplcrrpocpii~ [oov Ilopiwv I-lELOCv[al KaTa YEoollCfPlKI]V 1tp60shy

SOy Jtt ACYOV ~ K096gtlt to PaSolt auaVEl KOTO apI91l11nKV

3z npoooov -2 z ~ 27 I(TA

To pa90~ ~XPl mu onolou t KlVl1allt t ill v 1J0p(wv jluoSishyOHm tsaptntal a1t6 [0 IliiKOlt L TOO l(u)ICtroe roi KaTa nOAlgt OJt-yOOTEPOV lti7t0 fO EUpOlt H a01OO 0 R a nkine tnlolllt npooshy

Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

~A~lOV Jtp0ltJoxfc tU(XQVEI to (pound(ov~ un njJopCJ)il Td)V KOposhy

II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

_H_ Elll ftpoundamp o v pound iu~

Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

Keno ho = L at Kopultpai EupioKOVtm UVrAOtepOV Trapa

ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

navtCl T 6 vwdpw ioXUouv WC famp1 tllX9T) otav to tJlt90C TilC 9aA6crollC poundIvaI dneurolpov SEWPlTIKG)( 6uvOIJe9a 0 9ampU)Pl1oCl)shyIJEV [crxuovTa T ovU)ipw OTClV to paS oc TOi) TtuSlJtvoc d El v(u IJEyaAUTEpoV ~ icrov npOCTo IJitKOC L ToC KUlJatOC d L Ii npaKTlKUlC d ~ L2

Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

O lE~OampII( li)e opound 6 Gil illard iSane 6vEntO~E tr v poXOamptoil Seropia v hi neuro1tEpaa IJEVOo aTaSepoO 36Sooe onooei~ae iSn ai TpoXtal tOOV lJopioov Elva lJo)Aov t AAElltttlCai napa KOKAtKai ritc EKKEitp6tTJTOlt TOUTU)V E~l)Ptl)IJEVl)C EIC tic aXEmooC jll1shy

0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

H 9EU)pia aUtl) EXEl Em ICOpwSi We 6XOIJpoundV avocpEpu ltpoqyoushyjlEVUgtlt ai EJOWaEIC 6t TtjC EltlcpavEiae toD tPOXOElbO()c tAshyApound lnnKoD KU)JCHOC OTEvWC nAl)olo~OUV ItPOC to ltpaYlJaTl(D JtPOfl) l A tOO ICUIJ6tWV TilC cpuaeffi t(i)v OIOO IOOIJEVWV ElTi 6PI ~ovtiou Jtu9jtpoundvoc TO a x llIJam 10 Kal 100 TraplOwOv eva tpo XOE I Ot~ tHttlt tluv KOlJa

EK tll cnlAooeWe tUl V OloqlOpLKcZlv t~U~OEWV ToD KUIJUroC t OO Stok ts E1t t CLmipou I3irSooe Mv QvtIKatOaTroU)jleV TO V tKBEshyTl)V Ot t voe Cosh AOIJ3ampVOI1EV QvnoToixwe TlIV t~iaooalV

~ - - - -- t--- I ~_ __I __ _ _ _

~~~ --- I

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[0 ~-

_ I 1 bull~ Io_ I I I t OJ

~o ___ bull n f f1 I ~ bull I~ ~

I

-- shy- ~

LX lOa EvetnTtl(ol rQoxoft6ir XUltO xora 1 try - Iaplacl

tflv Cf uvOEouallv to atOIXEio roD KUjl lltOC

L V~Iol -- - ~ - 19hmdT ~~

T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

Eilt tOV nU9IJEVO 69EV lO 1J6pto nDAAOVTal EU9oypcJlJlUX Koi nopaUijAUgtlt 1lpOC tr v ErtUpaVEtaV oUToD JI eTQ~V t oov Buo o-ra9EpUlv tanoov TooV poundAApound(jIpoundooV

42 1 lhraJoJr TOU V1pOVr T01 I(tu(lTO( H

~Otov EVO KDlJo OlUbioetot tlti altElpou ~69 0oc KtvEita l lJia 90Aacralo jloso 9EWpl)tlOOe ~aSouc L lCoi 1Jl1I(Oue L H IJllso a6Tll poundzEI 6nOKtnOpound1 WplajlEvl)v EVpoundPYEIQV N CO EVtO C TOU xropou TOAOVt UlOpoundUX ToD ICUjloWC line 1J6tOCPpound PEtOI ano KOJlO amp1lt ICOJla np~ tr v BIEUSUVOl v tilt 8IaS6a ewe

-Otav TO KOIlO 6n0 onEl pov J1690 qlSoaet vir 810009(1 eic nEshynEpaa~vov tla90c d tOtE 6 xropoc (Kat ltpualei it JI asa) y l shyVETOl crTEVUJTEP 0lt npoundp ~Opl~6jlEVOe IJETOU hoc vtou lJijICOUC ltoAOvtWcrEWc Ltl lCai tou 13090uC TaD 1lu9IJEVoe d

middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

H IJETaqgtEpOIJpoundVl) OlJffie tVEpyElo N 01(1 tile nEpt 68ou T TOO KiJshyJIutoe ~eTOCU n09IJtvoc Kai ic Emqgta ve [oc tfle 9oAaaol) C tl vOl

0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

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il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

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tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

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middotlouMo~ 1970

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

~OTDv 6 OUVTEAEaTl)C ava(lacrewlt tOO (u~aToc 11 elvar laolt ptnll plnou 00 Ilt TTlV 1l0VOOCl (11 gt 080) T6Te hOIlEV 6lIK1)V aVUKAClOlV TOO OlJatOC iinc 6vo~ampETal Kal Clapotis

T6 luptaa6tEpOl S(plKt6v h TOO 0ftoAoYlolloO ClapoLis dvat t6 KUAWSPLK6v Clapolis tnt arreipou fl arogepoO ~a80o 16 civantUaa61ltvov i)l1tP008EV KOtOKOPUqlOU IlITronou KCl9tTou rrp6c Ti)V iSu)uBuvOl V TOO KUJlaTOlt Elc r)v rrEpbnwor v taUtl1V hOllcv aKPI(ilU Tl = 1

T6 ftp6~ATllla TOO ClaJloti~ SUVOTOI va t~poundTocr9fl Kata nOAshyAO)lt tponou cillt nx cngt)1~ATt tv6c npoanhrtOVTOC Kat ~v6 UVaICAro~IvOu KYIJOfOlt (iu ouo yenWOOIlPIJOVIt(i)v DUo (J)v9t middot TWV KUIJIlTCUV tawv aUit uVTI6imov tUXOTitwv KAIt ~OAal

1t6VTW at u~101oyOI )00pound1 1tapa tCtc otalpopru [(uv1tapoushyOLWOUV ICUtO t6v Lanas TO t~l~~ 1(0lVa O11lJeta

a) R tuu9tpa hlqlaVEla OxnlJOTI~EI )dav alC01ou9iav atashyoilJwv ICU)JOUUV (ouxl un6 tTlV YlWOTT)v hVOIOl t 6)v cttaalJlwv ICUlJUTUlV ta 6noia houv Tp01lalCtiv Kivllalvol6tt eurovtaOOa oiv cngt)IpaiVEl TOOTO) (htEplopicttoo uvanapaYOIJEVWV Koi lrePlOS1KlOv EVT6lt tOu lWPOU Kal TO) XP6voo

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

TEAeUTOioo taut I ~OJlpoundVOU )If TO ICOtOI(OPOqlOV p~twnov avamiddot ltaCJEWlt (IS ox~a 20)

Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

V gtltgll

4Ttd Ld si nh -r

n) H ni rm TOO uoaTO IlETCllaAAETDI 1tpoundPIOSIK6X Xa-yo IlliKOC TOO A1tLnU50u avoKAOaECUC

T6 ~eyuJtov -Yilt n lpoundaECUlt ~EtUPaUE-yQ1 y palJ~IKWC Ouvapshyi)cru TOU 6690u ano IJTloev IltXPl TOU IJE icrtou

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d T6v n6l50 toO )lETWnOU t6 M ~MiXI cnov tnicrl~ ypalJllllCmC )lETa TaD la80u~ 0110 1lT)8~v pL1P l tou min

I d - H Ji t6v n60u I Cosh -

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L I

a) T6 69pola)la KlvnT1lCf Kal SUva~lI~~ tVEPYEialt tljo ~ t~l1C TOO GSOtOC (tUla )ltcrov Opov ctto9poundpu) pi)I(OUC Ld ElvQl lO11

np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

H rraraTTlPleJl OflKvUCI on t6 rluv6ctov l(UpU dVOI d i)TlshyAilTEPOV ~1ttnESov uno ro ltJUV110rC Iwi tni tijlt t-aTuKopu(pOIl na(lpoundlu t6 Oomp avuyenoulol 1laquo(11 nirrtft Kutil ~1[Cll olaSpojII)V

--

449 lou~Lo~ 1970

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LX 20 J)EvOegar dxeo iUl t1ttrpriluQI Toii Clapo tis gttoi IWshyQ~wwl Tloxwi Ti]~ iurpavtla Joai TOU PciOOVi

~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

Otav t o P690c toO Ttu9)Jeurovoe llpoundlOOtat 6l1aAWc t ottiu~ tlj~ lPlPflc tlti)v Ilopioov TOO u5atoe t n a(noO 6 )JE)QAO~ aii~wv tOOv EAAemtlKrov 1l0PlUKOOV TPOXIG)V QnoKl(i Iliav KAlal V w~ np6lt to opl~6vnov EniTtE50v iine ouvEXroe atiovEI oaov t o Oa90~ EAAUTTOOtOl (10E LX 22)

~Otav Cl($I hEPOU [6 KU~lU 6tv Ouvavt~ altOtO~a 8Illt66IU 6lashyOlOEtOI tQXEWC npoc tliv oKtn V fl 6E ~EtOqleuroPOlleuroVll tVEPYElU Ol)VEXGlc lIELaOiOErOl Eic olu60XLK6)c lIlKpOtEpac )1oue Moshyto~ LUVETtEiQ tOUtOU o[ lIOOI aOtal onOKtOoV ~iuv auvEXOOc npo~ t~ v OKtliv a~OVOllEVI1V OPIlltLKOtlltU H OPlll1 ll KOtTle aOtl tAUnou tal )EVlKffic Kal tvOteuro tEouOEtEpoOTal tEAEiWC A6yU) KClTa(JTpoltPfie tfle IlEta(j)Epo)JpoundVTle ~vEpYeiae uno tOOv TPIPGgtVdlt tov rru9)lEVU Kai tfllt uvarapaxiJlt fOUTOU EE UAAOO fl ~E taaOOIC unO TO) KU~QtOC tf)lt a utljlt lt0061ltO~ Evep)E iaC altO QItElPOV 690e etc ltEltEPOOllt VQV ltpOe [~V 6nllv 1 UAAooC altO ~EfU)~UtEpOC UOOTivQ~ 1l6~ a~ Ele lIIKpO[EpOe tEOVOYK6~euroi TO lIOPIO va olOypa(fJOUV EVtOC tti c a0t~c ltEPI600U ~EYOAU[euro-

__ Kopo~ Clolgtoti~

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Q bed c

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~P l UO(UI~ toli XUIOtO d t~V ltfciOIV e

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

ploa6t1lpOV 1tpOC lrv avourrlv 96)uaouv Til KU~lat u ouvuyta~ vei 9puumvTOl ultp tttpou 1tEplomHi(lC4 4p OrUXC bd OllPCllOGlV Miwv llltOOV Jlf bjlflAUt KAioELlt 1) BE UPXIIO 0pll)crU KUAt1TUI 1tpwrl1 )(ltLIlJlTl epuOaEUII TOO KUA iv8pou xmpi Vlt (Xl1 CJUVTpoundshy)1091 (JOllnOA1l ~J( TWV pound1tlcrtPECPOVTWV uJjutwv tm 6 11) v Qnfv p6~ to 1tP-u)o

Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

B) Mla MVCl jJL lt ovappocpT)arot ocpEtAoptvn d Tflv I1UOlPEmiddot cpojJcvnv npot t o rrtACI )Olt P01)V 1l 6nOlU 7fPOKClAd cl~t6Ao)a unoeHc~IClTn tnt t1t~ l(oiTl)t ftc 9aAiraant ICal tnl tU)V 9poundshyJldilJlV TGgtV TpoundxvlI(illV f ptrov

AnCl1Ql Cl( civrotepro OUVo~lC I C napo)ouv jJiav CtIYJllCliClV tltishySpnow (nicCTlV) OUvOrOUUltTjJtvrw jJ~ (JUVfiZi) USPOcrTUtlKrV rti tow ht ~paxo XPOV llCOV SlCtatn~a

6uI vir tnc)9U A()I nOV 9paOOle toO KUjJatOe 9EroPTltlKGt npeshynEl

gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

IInO mO=Lj

Euv O~ICO oex9G)IlEv 6tL t o 6ct80 9pauC1EOOe de dval JllKPOV (1tpu)Jlu nov Uv C1UjJaCllvEl nuvtotc) t6te SuvaHOtt va 96shyC1WjJev lCatu npoot)) LClV tghme do - rna do 6n al avwteuropw t SlC1o)aEle yivoVtaL

1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

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bull18

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do 030

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ltr- --shyya-

H 060 -H - - -shy

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eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

navta -r QvuneuroPOO ~t1tOPPeuroOUV uno nlv 6empiav t ol KAaOC1lICOO KU~LatOlt n6no[a 1(010 TO 1tAdatov tl lYti to cpalvojJflva [~C olCtMar6lt toO I( ujJClrOe d mnfpaaptvov aka crrU9Ep6v pashy80e eUAUaOnlt ICat ~1[ 6Plovdou keioo rtu9jJEVOC Et T a(kr+ 9T) OjJIDlt stv OUJlpalvoov mOtu K_ul I(ata (JUVttUlUV l KktOlfi nIt KOUIlt tile 8aMiaanc Kalil OOjJ1 (lilY 61fL1lv JlpoundTapciU4i1 toU v6Jloolt dC KIVrlOf(l)C TWV II1JJl(ttoov nOAAol t ptUVllfOl w tl( tOOTOU icrXOJti911OUV0gt tAix9n dvwtCpJ) t6aov 9t(i) ()1ttICffit 6aov Kut nElpajJUtllC6lC ~It~ Jlovttkkrov I(l1i tnt napamiddot t1PlJacwv ICat IlEtpilC1Co)V riC tflV 8aAuaoUv npocrJtClaoDYn~ va 01rpwv1laouv to np61~All1lCl toDto TI) IClVlJcrpoundOl ICai 1fK 5VVaJlIKC opoopoundwe tG)v KlljJ6troV tli crujJJtepaollClta tG)v O~ rroiwv h9CTojJcv ev croVEXElQ

0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

OP lKOO 1Cigt1l(ltO~) Tf)~ tvq-yiiuC toC ICUjJClTOlt bt iUieipoo P6shy8011 taxUEl Kui Sta 1Cpound1tfpaojJpoundva Plt91 OIC0Jl1 I(at Sui 1toko JltK pU

p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

napCltT)prapoundlC etc tflV CPUOlV teUl 1tElpojJClta ampnpoundSel~uv 6n aUjJqgtCOvoDv jJeuro T aVCLncplo

y T o Oljlo Btl Kat [0 ~dII(Olt 1UrOD OpU)Opvou KUjJCltolt tbr I(at TO Pamp9olt de 9pCluoeco~ BsaptwVTal 1l0VOV h t OO 111V0~ t OO ICUpOTO II l Elc TO Olwatov 9pailocro lui t toO l-111K OUC l~ ICut T1i KUPTOtll[OC amp [OU KUjJCl[OC tn t amp1teuroipou puOoo

Et 6)bullAoo Co 8EwP1nKCt aOIl1tEpaajJCl[a Uv [crxuouv Sill jJpound YCtACl 6ueAAwon KllJlll[a

ell w

OlYrOO il UVoAo)1Ct Ho 1 6noiu ultou )d (0 ~p ( atIOV X(Lpn~

KTllPIOTIICOV Tf)~ Opau(Jpoundll) tlLiv 1JIUITWV intcppuivLt apUTu

bullbull

451 louALOC 1970 Tcxvuco XpOVlllCo

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

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455 10()10lt 1970

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To olaypajljla 28 OEIKVUeurol 1ae ypajljlae mECJS(r)e troy we aV(r) EPEUVIl1UJV SainrIou - Gagli Kai Minikin

LUYKeuroICPIjlpoundVooc 0 Minikin EnP01EIVE u To CJIl~Etov jlllMv tfle ItLECJ6UJe npEnEI va euroiVUI 166 H unEpav(r) toO poundnUcfOOU 11peuro~iue

p H jlEyiCJt11 ~vtaCJle ltIECJE(r)e EsuCJKEI1al ete 10 poundninEOOV tshypeuro~iW tfle 6votKlfle EluAaCJCJlle KUt hEL n~11v pz = pH

y H jleurotasU toO CJ11jldou jlIlOeuroV 1tl~ mECJE(r)e Kal tflc ~euroY[CJtlle 1OIUU1Ile E[e tTlV EltLcpavuav 11pEjliae tl nfECJ1e jlElUj3UAAElUt

o Kat(r)ElEv tOO EmnEoou npeurojllae n nECJ~ dVUl OJlOlOjlOpcpOe TCJllnpOe 1nV jlEyicrt11V P 01 OAOV to puEloe

At oIXoyv(r)~lal nCtV1(r)e tampV poundPEUVl11CUV CJav poundK011AOI Kat npOC

MHAEN CACLI MHflEN ~INIKIN

MHflEN SAIttfLOU

M

c bull

s =

Ex 28 LJwY(OI1W meae(r)v xcna Sainflou (S) Cagb (C) xf)i Minikin (At)

~56 lou)lo(j 1970

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CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 4: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

TXVtkO XpOVlkG louAlor 1970

EIC t WV Qvwtpoundpogt 1tlvQICWV dVOl (pOVtopOV 6ll I tTr(tEU~llt tampv )IEyicrroov tl)lGlV tampv (HOlXEWV )I11KOOlt iilvoult nEploSoO KO tOXUtTltOl TOO ~OtOlt Sty t~UptGlVtal )IOVOV h Tflt evtoshyaEOJlt tOil ovtjJOU Kol b tOO OV01tnJY)lOto~ tOO ripOtOt oA)o ICol h t1lt 8IapKpoundialt 5pQ(JampOJ~ t oi) Oveuro)IOO KUpiogtlt 6t t06 npwshytau l6Wpou Ei e tfl v tKtilJTlatv ogev TOO IJEYIOtOU 6VOUt TOU aoJJlOtOlt 0 Jl FApoundlTllfl MTlXOVIKOlt npenEI vii Elval Aiav npoaEshyKtIKOt wate Sui (J)JlnAI1PWlJotIKWV nopotI1Primwv fl atOI shyXClWV va tMY~l] TO ~K 1ttlV poundJlnClpuGw tonwv (moAoYIlojlevov ~Ylatov UWOC toO Kraquo)I010lt middot YnEpEKti)lI1Ol~ roi) )IE- i arou iVo~ anOtdE[ anOt(lA11v tv(p ri unolill11Ol~ 011)110upycl Kivshyouvov KOToaTpocpfl~ toD ~Pyou EnlopaUlv poundnia11~ tnt t oO jJEshyt iCTtI)u UWOOlt EXEI Kat to ~90r tOO no9)1tvo~ AKOjl11lO )I1K~ 100 KUjlOtOt aO~IPaAAEI UoCPPampt cllt triv aVa1tlU~IV tOO IJEyishyOtOU uVoult olon npoj3oAACI np6lt tOV iiVEjlOV )IEyaAulepov tntqgtOVEIOV KOt )IaAlmO ouxl 6plovtlav

To OV~ Mev 100 K)jlalOt O~oVEI auvEX~ )Ie lli v SIOPKf trri opaaw toO OV()IOO cpSoVEI SA tnV JlpoundYicrrv H)Itlv lOU JlEshy

10 ano SIUPKEIOV SpaaEWlt 100 OvpoundJlOO 10 1H rupG (to H pound1lt m) i) 16 W IDpOOV nEplnou (V tIlt JleurotpO civa sec)

TO KU)Iato ano)loKpuv6)1EVQ t~e ncploxfle YEvtaEcllI tWv apxi~ou ppobtwlt va XclVOUV EvtPYCIOV ACrt41 tf~ OvtlcrtaaEUgt til UtjlOCTCPOLp0lt toOtO ot npoKaAti )IEta(klAflv pound1e tOV tunav tOO tru)lOlOlt )IEicooIV tOO OWOUC Kol cr(j~tOLV tOO )InKOUC OUshyTOO OOt W tvo KO)lO H = 45 mL = 90 m Kol T - 7 sec IJEUi ano Siaopo)l l)v 2000 n m Eupe91 Jlt ltrloIXpoundia H 06 - 15 OIL = 400111 oi T = 16 spc EVSE1KtlK(blt a voq)tppoundtOI (5(1 KOro npoatY-Ylalv ro KO)lo xovrt to 23 roll 611OUlt 100 Jlucl ono tr) v 1)taopo)lr) v r~v npdHWv 1000 Km tv auvpoundXpoundq Se )IEIOOral t o Evuno)Jivov UWolt avO 51aSpOjll]v 2000 Km KaTe) 20 ~OCfoV ala middott1V JJctoj3oAflv t(bv atolxpoundiwv TOO IJ~KOUC toO KU)IotOlt Kat rf]t nEpl6800 autou mom j~(iPt(bVtOI 6n6 tflV lUXUt11tO toO c1VpoundIJOO Kat ano tl~V neploxriv tnt 1~lt 6noia~ opo 06tOlt

-4 AvQuau rilt 6la66olWt kal OX~Q rilt tm+QYdat TOO kU~QTOt

41 Aut p6Go nuGJJflOlt d OJ r

Oi npWlol aaxoAIIStvn~ IJE rfl v aVaAuatv toO llXQVta)loO t(Uv KOJlCltWV t(i)v OIOOtOOJlpoundVltllV tvt6lt p09t~ CSaloc flaav EIlt lru BpettQvtKU~ vftcroue o Robertson Scott R us1 Kat iry cit tilY rtPIJUVlUV a yenIbe r dt ra)av o Bcrlm Boussi nesq oi Debc lI01ze Kai tv A OCftpiq 6 Gers t ner

npci)tOt 6 OersLn er ( J 802) ~ 00 Ku i n ovo)laaia I(KOJJO G I I~ ln e r )) tlvpoundn w ll tflv 9Ewplav IJEtaS6alwlt t(Uv od(i)v KUAIVSPIKOOV lOJ)I cnwv hi anEipou J1i90olt )Cal f ScooE t e JlU shy9TUIUllKIlt poundtIOli)aCIt atttVEt auv5touv r6 6110lt to Jll1KOlt Kul rflv ntplooov t(i)v KOllnwv aro9Epo(j runoo H SpoundOOpla roO Gerstner lmpF OOIWSll 1)10 nElpOjllhwv Ele tnV A Aypoundp iov uno roO A i to 11

( A rrAoCv KUAtVOPIKOV KGlJa KOA6itai fI o l uooalt fvt6lt rOu xwPOU )Ie ataSEpaV ~ a X U t 11 to K a i Ci v E U pEt U P 0) Tj c toO cr X ti JJ a t 0lt JJLa ~ rreploSIKft Klvi]aEWlt anpoundpl opfa tw e avan 0 pay a JJ e v t t II

T o 6nAOUotampflOV t (bv KUlJalCll V livQl ro OI06106)IEVOV hi ushyn~ipou t a ra9tpoO PlOovc Kal wi) onoiou al KoputpuypaJlJlol poundivot K0gelOI tni ti)v OtEOSUVOlV 10(j Kraquo)Iatolt

T o oVCaHiput Ki)Jln i ICAi]O1 Kai laquotpOxoE10ilt~ 510tl t o xvoe tTjlt UpounduOipae bupa veio auto) ampival tPOXOEIO~e KUJJn()n filL 6-w yywatov Y(Iacpp tul lmo tUX6v crt09EPOV CTI1JJE[UV tvo KUI()OU KUAIOJJtvoO 6IJu~ h i ~Iae euSpoundia

0 IKAQt (not Ilaquol4fraL YEvEmoupyolt KigtKA~ Kai 11 QKlie tao aI)IpuAilt tUI 010 tau R

M io tOlUUtll -alnoAIl hel y pacpt) poundIe ro ax~110 5

EIlt to rpoX~15t KOJlQ tei ooottVO )IOplo OlC1YPtLtf)OUV t pOX I O~ neptaGorcpov 1 o)Ifd)l~pov KAEICtac tfl~ t6~ewlt toO poundapouc H Kato n]v OIUPKEIQV JJlllC nEpl050u T

To a(t~IJQ tOU KUjIOtOC nOlKiUEl t~OIPClLK(~ )Cai S~OptiitOl SK tOW atOrxciwv autcLlV Kill row TomKWv auvOllKulV

n n 1n -

-

rvlt~ 1 ~hii u~ll~~ T ~ ~ I ~ T ii ~yen u

ui ~t ~l (M bull ) x h Til - It + _ of

H M (911)lOttKn l)Jto lh OIC tnl rfl e 01006aE6gtlt t(Uv ruPIOIVri shyaEWV EVOlt tfllt )I~t lt at1pllEtOI d~ to on to KU)Ia 5poundv (Jovishyataral lino atpOPAtAAla)lOlx Kol 6 tt QltonApoundi )Iiav KiVllalV ~VfEAGl~ OOlPOpt AAOV mt toOtO tt QAAOO nporintEI tK lOG 9poundWpliJlalolt tOO Lagra ngl ltruJlCPCovUlt npolt t6 onoiov laquo n dshyaa tAe09tpa Kivtal e liaujlnd aT ou uypou (aapilt11tOe ) )I1] OUVEKtIKOi) ETval tV tE AWe 6 0 t p 0 j3 I A a e I)

Kato auvpoundnElov npEItEl Kata tflv 5ulooalv tl1e Kl vi]aEogtlt va t~aacpaAilETal fI ato6Epo r11 lt tGl v Jlolampv Kal taW nl tOUIlV tni tfl ~ ~Ae09tpae tnlcpaveiac

BEPalwt unupxoov nEpl1rr61crpoundllt KOS 6t oev SOvcl)lE9a va (I

yvo i)awlJev oore rri v cruvEKllICOtl1ta (tawtcptKli tP1P) tOO OSmot oorE rat tpl ~ci hi TOO rrue~tvoc OOtE aK6JJ (L tflv SlIjshyopaalV toO livt)loo 61tt tfle tnHpave[a ToOto 6)1Ul~ OUltrXE pavE Ell nEplcr06tEPOV tfl v OIEpEuv11alv nOvtogtlt TO K)~11 toO Gerstner Elva I to dtov 6nAcOv poundIe to 6notov JJnop01J)IE va KatOAi]~Ul~UV ola toO unoAoYlaJJoil al apxot toO 6nolou dvat

a Ko8e uoanvov )I6ptov KIVettatKata )It)KOlt )I14e npoundplcpEpEialt crta9Epoo JCUKAOU )If OtoSrpav )OOVlOK11 V raxut11fO Koi 510shytptXEI lnV tpoXlav t OO Kata rOioOrov rpbnov oocrte va SltPXUQI naV1orpound tK t Ou oV1Aortpou all)l(loo autl1~ to omiddot norov tivaYKaalulUc 90 anouAt auyxp6vltraquolt Kai to UVtAOshyt fpov mUlpoundov lTjlt KOS O4IOe poundlCtponTj tOO JCU)IOtae(KOptlcp11) jl~ SIEUSUVOlV Kal cpoPov taxultttlC tOu CJU)udmoooav JJe filv SIEU80vatv tft~ raxutTltoe OLoamp60CWC f00 lCu~atot 0 IJtXOshyVIOIJOe OUt ae CrnotEAtl rfl v KAcl~o SloS6aE(l)e rou JCUJl0tolt Ole eo rOCllIlEV KatCllttpw de ro KEcpQ)alov laquo(epooapoundoo~ tOO KUshy)IotOCraquo)

p H QKllVa 170 tftlt KUKAlKflt rpoXllu K l Vilae(~ t tbY Jlo piwv ~tOp1atal euroK 101) OllOue Kat roO 1I1] middotUUlt tOO KU)IO ro Ka9ltix Kal tK roll j3aSoult z toll KEVfpoU t oO KOKAOU ano tTj ~ t nuposhyvE tac flpEl1ia~ tflt 9aAaacrtt Kat JJEloilral JJEtel toil fktSouc

mOtouwc Kata tV poundK9EnK~v a XEatv t Z- = 10 e -2~~ Evea

yO = ~I _ i] clKti~ tTjt KUlCAIKfIlt t POXltle tOO Pont tt)e autll t

KQmKOputpoU EuplaKOJJivou poundn-lqlOVEIaICOO JJopioo Kai e _ = 2718282 i) j300lt tu)V NpoundrtepICllV A oyapl9)1Wv (tOE aXflilov 6)

439 lou)loC 1970

y TO 1l0pW to Cltota K~VOOVtal Kata IllJKO~ nEplcpEpElooV tooV onolrov to KEVtpa t(i)v KUKAooV EUp[OKOVtCll Et~ to auto pa80lt 7 ItEPLOtPECPOVtCll tlti t(i)v tpOXuuv nov Ilt ywviov av6AoyoV np6lt tv opLCovtiav 6noomatv x tooV KEVtPu)V t(J)v KUKAWV

2rrx 2rrl ) tooV ( ql = -r= r Kat Ilt tV au[v ItEPlcpEpElaKv

taxUt11ta et ou OuvciYEtal Em laquooAal ai ftEPlqlEPE10l ta~ cno[cu otO[ppoundxouv to Ilbpla ta EUPloKollEva poundni toO autoD ~a90ult ElvQt loavgt

Eav Aa~oojlEV rot a1ovu t(l)v tEtjlTlJlEVU)V x bi tol) thuatpou tm1tioou tij~ 9aA6oolllt Kai ltapaAAIlAOV npolt tIlv OIEU9uvcnv toO KUjlatolt Kal cblt osova tillv tEtaYIlpoundVWV Z KataKOpucpoUv ItpO~ to ~6Solt tOU to 1l0PlOV to onotov otpEcpCtal ntP1s toO C1l1IJe(OU XII Zo Sa EupioKEtal Etlt XPOViKV OtIYIlV t EIlt

tilv 8poundOIv

x = X o + R (OS ( 2~~ - tp o )z

= oj + R sin (2 t - lt10 ) z

1 11 0

Evea Rz = R e - L- ~ 0Kt1lt toO YEVEOIOUPYOO K)KAOU

2ltx o EU fa90lt 7 Kal ~o - -L-- Tl olacpopa paOEooV IlOpioushy

mlYilltmiddot

0 Larras anooEIKv0pound1 jla8rlllatLKwlt Otl OJ(i va onotEAoDv a[ avrotpoundpw ESIOcOOEIlt AUOIV tOlgt npo~Ailjlatolt tijlt olaoooEwlt tillt KIVrOEWlt Enl (xnEipou ~aeoult npcnEI

2lt ltL r = 2rr-shy-C- - R=O Kal g-~=O 6te g

0 Stokes tAUPEV Wlt OUVajlIKOV tQXUtllT(iW Tilv ouvaprl101v

- 2lt11Le - - (l X)ltlgt =- Ro - middot C052lt T- LTshy

Tllt 6pr~cl Tilv 016000lV Ilf ora9Epav tOXUHlta Kat civEU IlEshyta~oAillt ToD crxijllatolt 1l1ilc nEpLooIK~lt KlvtlOEoolt tvrolt 100 xoopou a1tpoundplopiotoolt 6va1tapaYO)lEvlt

Ala vO toxuo TO avoorEpoo ouvalllKOV o~middot Eva KOlla IlEtaot80shyIlEYOY tnt CIltE(pOU P690ultnppoundnEt va anoSEtx9ij 6rt ttaocpn)lmiddot ~6((1l KaTa rv Kivl1mY 0((19Ep6r11lt f(J)V Ila~(ov KQi rroy 1tIEmiddot OEWV tnl tiJlt H w9tpae poundnupoYEialt rillt 9uMiool1e

npEltel AoLnOV b~ CrOU)IltLEOra uypd Kai ola morxwigtampl1 jld~av

au Oudxdz - I -- = 0 (uu 6Pl~Ovtia Kal KUmKOpUlpolt tClxu

Ox az fli(1) f)q)

[11lt) 1 6x + OZ2 0 fJnlt npaYllan e1VUl rOll ~lt shy

4r i 4lt - Ti (]gt + Lz cIgt = O

H OTQ9tp6Tl1lt AOInOV roov Ilnlroy nAI1POUTClI uno Tile ltJgt

Aa)lpltivovm nlv E1trraxUVOlv ti)lt OTOIXElroOOUC JtIi~ l1 lt d xd z ItUKVOtIlTOlt P Eilt nvu XPOVIKTlV OtIY)ITlv fnlt 1tpmcl)1[rEl tic ouvouaO)loO ~apoult Kal blacpopalt mpoundoerov t(J)v boo O4lEWV TOO cnO~XElOOOOUlt O-YKOU dx dz hOlltv

f)u Bp 0 p -~- - ~ (pgz-p)

dl Ox Ox

p ~~pg_66P ~- (pgz-p)66 dt z z

6 (6$ t ) 6Ox p iil ~middot 2 p (u +) ~ ex (pgz - p)

z (p 601-+ ~ p(U )) = z (pgz - p)

Ote -~~ + -- (u il - u-) --- ~ - gz = ow9

napaYtJYyiCOYf~ We npOc l Kat nopaAElftOvramplt toUe opoult Tt1~ aVu)TipaC TO~EIDlt dlt t v npOOT11v OUVQIlIV tijlt KUPT6tl1foc EXOIlampV

1 Op Oz ~-- - g -~ O

p 61 6l

6la va loxuu AOlnov namppirrtooOlC tflt ota9amppOtlltOlt nov Itltmiddot oEIDV tni tlllt tJEu9tpalt eurortllpave(alt ItptnEl

Op Ogtgt 6$at = 0 6tpound Kat 0iI- g oz = 0

(hEIOn ~ = u = ~~) t~ n~ E6K6)~~ ftpOKUnt~1

T ~ y2rrL g

E7t[OI1~ aooel tillv auvapTroewv cIgt fXOllev KaTa IlflKOlt )IUl~ ypa~~~

- 2n~

6x 6lt1gt 2r- I -~ (l X ) ot = u = ~ = - T io e sin 27t T - L

- 2n - 2n R - 1- 2- T oe middotcos rr - (+- ~)

x = x + Ry cos (2~t - tV)

(2rrl )z=l r+ R 1 s1n -T- - ~

vo~ R R - III I 27tx 27t I QU i- 0 E tV = ---C-- m = L Ka

T6 a01p6pIAoV AOlnov 1(0)la TOI) S t okes jlpound OUYQIlU(OY roshyXUT~TWV anoTEAei AUatV tou npopAil~Qtolt tlJc jlETU060E~ TOO KUllaTolt poundnt a1tELpou PciSoue (Ka8cix Kat tlti ata9Epou Pcishy90ult Mv oVtLKaTaOtijowllcv pound1e TCu ltivw EtlociloEle tOV h9tshyTllV 81 EVOlt U1tEpPOAIKOC auvll)1ltOVOu Cosh) nAllPoCoa Tae ItPOU1t09Emllt tijlt 0tClSep6tlltolt HOV )Inlillv Kat toov mpoundoEoov Ent tflt tAw9poundpalt poundnLcpavE1cu Ai ttIOOOmIlt autal O)lOI6~ouv aKpl~amplt )It 0lt npol1You~va~ toO KU)IatOlt Gcrstn el nashyparnpOul-lEV 6JWC to tl(1tAnl(nKOV 1tapaootov 6n to a01p6shyhAOY KOlla rou Stokes vn auVTaul~pound(al 11pound TO oTpOPtAillshyamp e TOO Gerstner Tol)to OIlWlt looouvallEI Ilt [0 vei crvyKpishyVU)1lEY jllay cil(PIPIl tl(cppaolv )Ii ~iQV I(Qra npoOEnlOI V ~ (mOl Q an01E-ei jleplKtJv AUOtV TOO npOPAilllQrOc Iln y ywpishy~ovTelt ntpav aOTlJe tay t~aoAou900v Ii 611 va OUjlnimouv

Me[E1tE1Ta Epeuval TOi) R a nkine (tv auvExeiQ t (J)v GerStn er 1802 Bertin Bouss inesq Airy J845 Kat S tok es) aJttbelSaV 6n Elml ouvatov va QvtIKataoijooollpoundV TV ytveolv tflt [POXOEIOOlgtlt KallrroAI1lt (Sui KUJioEWlt KUKAOU) cpaVta~Ollevol u8advnv )Iti~av nEpioTpECPOlltVllV tnl KawKopucpOU poundmlteurooou ntP1t OPI~OV[lOU li~ovoC I(ai 6n poundtlt Illav Ila~av uypoO (~apushyt11roc) TOO ono[ou fa )lOpla 1tEplorpeltpov[QI 61l0 101l0 PQXJllt eilt ~YQ Kudov tJ tPOXOEISi]o t1tlcpQvEla mO KU)Iat oc 1tAnpol TOy 6 pov rli lt 61l0tDIJOPPi cu Troy mEowv TowDrov [poxOshyEIOtlt npoltPlA lil1jlIOUpythol lilO nEplorPOPillt Kurw6EY E(9EI(1e -ypajl~ijlt tvolt KUKAoU fOC Onolou ~ Olnilt Elval iall 11pound r1v TOO KWVIKOO EKKPE)IOtk 6nep avaKUKAollTal jlpound T Y ililUV nEplshyobov 1 Tillv OOOTLVWV popirov altooeitw 6(1

l = V2rrL ai C ~ --I ~ 1gL g V 2rr

-Enioqlt afttosLtEv on Kata paSolt at aKTlvpoundlt fpoundilv tPOXIpoundilV J[Eplcrrpocpii~ [oov Ilopiwv I-lELOCv[al KaTa YEoollCfPlKI]V 1tp60shy

SOy Jtt ACYOV ~ K096gtlt to PaSolt auaVEl KOTO apI91l11nKV

3z npoooov -2 z ~ 27 I(TA

To pa90~ ~XPl mu onolou t KlVl1allt t ill v 1J0p(wv jluoSishyOHm tsaptntal a1t6 [0 IliiKOlt L TOO l(u)ICtroe roi KaTa nOAlgt OJt-yOOTEPOV lti7t0 fO EUpOlt H a01OO 0 R a nkine tnlolllt npooshy

Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

~A~lOV Jtp0ltJoxfc tU(XQVEI to (pound(ov~ un njJopCJ)il Td)V KOposhy

II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

_H_ Elll ftpoundamp o v pound iu~

Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

Keno ho = L at Kopultpai EupioKOVtm UVrAOtepOV Trapa

ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

navtCl T 6 vwdpw ioXUouv WC famp1 tllX9T) otav to tJlt90C TilC 9aA6crollC poundIvaI dneurolpov SEWPlTIKG)( 6uvOIJe9a 0 9ampU)Pl1oCl)shyIJEV [crxuovTa T ovU)ipw OTClV to paS oc TOi) TtuSlJtvoc d El v(u IJEyaAUTEpoV ~ icrov npOCTo IJitKOC L ToC KUlJatOC d L Ii npaKTlKUlC d ~ L2

Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

O lE~OampII( li)e opound 6 Gil illard iSane 6vEntO~E tr v poXOamptoil Seropia v hi neuro1tEpaa IJEVOo aTaSepoO 36Sooe onooei~ae iSn ai TpoXtal tOOV lJopioov Elva lJo)Aov t AAElltttlCai napa KOKAtKai ritc EKKEitp6tTJTOlt TOUTU)V E~l)Ptl)IJEVl)C EIC tic aXEmooC jll1shy

0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

H 9EU)pia aUtl) EXEl Em ICOpwSi We 6XOIJpoundV avocpEpu ltpoqyoushyjlEVUgtlt ai EJOWaEIC 6t TtjC EltlcpavEiae toD tPOXOElbO()c tAshyApound lnnKoD KU)JCHOC OTEvWC nAl)olo~OUV ItPOC to ltpaYlJaTl(D JtPOfl) l A tOO ICUIJ6tWV TilC cpuaeffi t(i)v OIOO IOOIJEVWV ElTi 6PI ~ovtiou Jtu9jtpoundvoc TO a x llIJam 10 Kal 100 TraplOwOv eva tpo XOE I Ot~ tHttlt tluv KOlJa

EK tll cnlAooeWe tUl V OloqlOpLKcZlv t~U~OEWV ToD KUIJUroC t OO Stok ts E1t t CLmipou I3irSooe Mv QvtIKatOaTroU)jleV TO V tKBEshyTl)V Ot t voe Cosh AOIJ3ampVOI1EV QvnoToixwe TlIV t~iaooalV

~ - - - -- t--- I ~_ __I __ _ _ _

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~o ___ bull n f f1 I ~ bull I~ ~

I

-- shy- ~

LX lOa EvetnTtl(ol rQoxoft6ir XUltO xora 1 try - Iaplacl

tflv Cf uvOEouallv to atOIXEio roD KUjl lltOC

L V~Iol -- - ~ - 19hmdT ~~

T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

Eilt tOV nU9IJEVO 69EV lO 1J6pto nDAAOVTal EU9oypcJlJlUX Koi nopaUijAUgtlt 1lpOC tr v ErtUpaVEtaV oUToD JI eTQ~V t oov Buo o-ra9EpUlv tanoov TooV poundAApound(jIpoundooV

42 1 lhraJoJr TOU V1pOVr T01 I(tu(lTO( H

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-Otav TO KOIlO 6n0 onEl pov J1690 qlSoaet vir 810009(1 eic nEshynEpaa~vov tla90c d tOtE 6 xropoc (Kat ltpualei it JI asa) y l shyVETOl crTEVUJTEP 0lt npoundp ~Opl~6jlEVOe IJETOU hoc vtou lJijICOUC ltoAOvtWcrEWc Ltl lCai tou 13090uC TaD 1lu9IJEVoe d

middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

H IJETaqgtEpOIJpoundVl) OlJffie tVEpyElo N 01(1 tile nEpt 68ou T TOO KiJshyJIutoe ~eTOCU n09IJtvoc Kai ic Emqgta ve [oc tfle 9oAaaol) C tl vOl

0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

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7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

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T Ii aV(IltEpfIJ ciTtotpound)tI~ltQ if~xaayen ~cioeurol

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t j Tt Illyen 1OU Tt l v a llO~ II

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

H JlEyicHT] 6PlCOvtia raXlHT]~ toO )lopiou ElvClI eurov tOlClUt(1 ftEpl1nrocrEl

21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

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ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

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maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

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poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

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n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

BE TUP I nt ~lIIuT bullbull TOT

4 In [NOI

L Vb wbull r _ It

bull I 1 L

m 411

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bull a t 11

UH TOT MKO H ~~ 00 Tol 05TIIIU

( f[1 THI nC~ loo T OH 4

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h ~m fshy1 ~

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bullbullbull ( __ I ()

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

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tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

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pLH E = ~-shyp 16

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

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8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

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S lt 0196 tg ltp

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bull

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middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

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095 0 88 080

090 075 046

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

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n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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Lo -= H1187 d

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du HoIi ~ 001 IT 075 - 1- - = 150

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451 louALOC 1970 Tcxvuco XpOVlllCo

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455 10()10lt 1970

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To olaypajljla 28 OEIKVUeurol 1ae ypajljlae mECJS(r)e troy we aV(r) EPEUVIl1UJV SainrIou - Gagli Kai Minikin

LUYKeuroICPIjlpoundVooc 0 Minikin EnP01EIVE u To CJIl~Etov jlllMv tfle ItLECJ6UJe npEnEI va euroiVUI 166 H unEpav(r) toO poundnUcfOOU 11peuro~iue

p H jlEyiCJt11 ~vtaCJle ltIECJE(r)e EsuCJKEI1al ete 10 poundninEOOV tshypeuro~iW tfle 6votKlfle EluAaCJCJlle KUt hEL n~11v pz = pH

y H jleurotasU toO CJ11jldou jlIlOeuroV 1tl~ mECJE(r)e Kal tflc ~euroY[CJtlle 1OIUU1Ile E[e tTlV EltLcpavuav 11pEjliae tl nfECJ1e jlElUj3UAAElUt

o Kat(r)ElEv tOO EmnEoou npeurojllae n nECJ~ dVUl OJlOlOjlOpcpOe TCJllnpOe 1nV jlEyicrt11V P 01 OAOV to puEloe

At oIXoyv(r)~lal nCtV1(r)e tampV poundPEUVl11CUV CJav poundK011AOI Kat npOC

MHAEN CACLI MHflEN ~INIKIN

MHflEN SAIttfLOU

M

c bull

s =

Ex 28 LJwY(OI1W meae(r)v xcna Sainflou (S) Cagb (C) xf)i Minikin (At)

~56 lou)lo(j 1970

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CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

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439 lou)loC 1970

y TO 1l0pW to Cltota K~VOOVtal Kata IllJKO~ nEplcpEpElooV tooV onolrov to KEVtpa t(i)v KUKAooV EUp[OKOVtCll Et~ to auto pa80lt 7 ItEPLOtPECPOVtCll tlti t(i)v tpOXuuv nov Ilt ywviov av6AoyoV np6lt tv opLCovtiav 6noomatv x tooV KEVtPu)V t(J)v KUKAWV

2rrx 2rrl ) tooV ( ql = -r= r Kat Ilt tV au[v ItEPlcpEpElaKv

taxUt11ta et ou OuvciYEtal Em laquooAal ai ftEPlqlEPE10l ta~ cno[cu otO[ppoundxouv to Ilbpla ta EUPloKollEva poundni toO autoD ~a90ult ElvQt loavgt

Eav Aa~oojlEV rot a1ovu t(l)v tEtjlTlJlEVU)V x bi tol) thuatpou tm1tioou tij~ 9aA6oolllt Kai ltapaAAIlAOV npolt tIlv OIEU9uvcnv toO KUjlatolt Kal cblt osova tillv tEtaYIlpoundVWV Z KataKOpucpoUv ItpO~ to ~6Solt tOU to 1l0PlOV to onotov otpEcpCtal ntP1s toO C1l1IJe(OU XII Zo Sa EupioKEtal Etlt XPOViKV OtIYIlV t EIlt

tilv 8poundOIv

x = X o + R (OS ( 2~~ - tp o )z

= oj + R sin (2 t - lt10 ) z

1 11 0

Evea Rz = R e - L- ~ 0Kt1lt toO YEVEOIOUPYOO K)KAOU

2ltx o EU fa90lt 7 Kal ~o - -L-- Tl olacpopa paOEooV IlOpioushy

mlYilltmiddot

0 Larras anooEIKv0pound1 jla8rlllatLKwlt Otl OJ(i va onotEAoDv a[ avrotpoundpw ESIOcOOEIlt AUOIV tOlgt npo~Ailjlatolt tijlt olaoooEwlt tillt KIVrOEWlt Enl (xnEipou ~aeoult npcnEI

2lt ltL r = 2rr-shy-C- - R=O Kal g-~=O 6te g

0 Stokes tAUPEV Wlt OUVajlIKOV tQXUtllT(iW Tilv ouvaprl101v

- 2lt11Le - - (l X)ltlgt =- Ro - middot C052lt T- LTshy

Tllt 6pr~cl Tilv 016000lV Ilf ora9Epav tOXUHlta Kat civEU IlEshyta~oAillt ToD crxijllatolt 1l1ilc nEpLooIK~lt KlvtlOEoolt tvrolt 100 xoopou a1tpoundplopiotoolt 6va1tapaYO)lEvlt

Ala vO toxuo TO avoorEpoo ouvalllKOV o~middot Eva KOlla IlEtaot80shyIlEYOY tnt CIltE(pOU P690ultnppoundnEt va anoSEtx9ij 6rt ttaocpn)lmiddot ~6((1l KaTa rv Kivl1mY 0((19Ep6r11lt f(J)V Ila~(ov KQi rroy 1tIEmiddot OEWV tnl tiJlt H w9tpae poundnupoYEialt rillt 9uMiool1e

npEltel AoLnOV b~ CrOU)IltLEOra uypd Kai ola morxwigtampl1 jld~av

au Oudxdz - I -- = 0 (uu 6Pl~Ovtia Kal KUmKOpUlpolt tClxu

Ox az fli(1) f)q)

[11lt) 1 6x + OZ2 0 fJnlt npaYllan e1VUl rOll ~lt shy

4r i 4lt - Ti (]gt + Lz cIgt = O

H OTQ9tp6Tl1lt AOInOV roov Ilnlroy nAI1POUTClI uno Tile ltJgt

Aa)lpltivovm nlv E1trraxUVOlv ti)lt OTOIXElroOOUC JtIi~ l1 lt d xd z ItUKVOtIlTOlt P Eilt nvu XPOVIKTlV OtIY)ITlv fnlt 1tpmcl)1[rEl tic ouvouaO)loO ~apoult Kal blacpopalt mpoundoerov t(J)v boo O4lEWV TOO cnO~XElOOOOUlt O-YKOU dx dz hOlltv

f)u Bp 0 p -~- - ~ (pgz-p)

dl Ox Ox

p ~~pg_66P ~- (pgz-p)66 dt z z

6 (6$ t ) 6Ox p iil ~middot 2 p (u +) ~ ex (pgz - p)

z (p 601-+ ~ p(U )) = z (pgz - p)

Ote -~~ + -- (u il - u-) --- ~ - gz = ow9

napaYtJYyiCOYf~ We npOc l Kat nopaAElftOvramplt toUe opoult Tt1~ aVu)TipaC TO~EIDlt dlt t v npOOT11v OUVQIlIV tijlt KUPT6tl1foc EXOIlampV

1 Op Oz ~-- - g -~ O

p 61 6l

6la va loxuu AOlnov namppirrtooOlC tflt ota9amppOtlltOlt nov Itltmiddot oEIDV tni tlllt tJEu9tpalt eurortllpave(alt ItptnEl

Op Ogtgt 6$at = 0 6tpound Kat 0iI- g oz = 0

(hEIOn ~ = u = ~~) t~ n~ E6K6)~~ ftpOKUnt~1

T ~ y2rrL g

E7t[OI1~ aooel tillv auvapTroewv cIgt fXOllev KaTa IlflKOlt )IUl~ ypa~~~

- 2n~

6x 6lt1gt 2r- I -~ (l X ) ot = u = ~ = - T io e sin 27t T - L

- 2n - 2n R - 1- 2- T oe middotcos rr - (+- ~)

x = x + Ry cos (2~t - tV)

(2rrl )z=l r+ R 1 s1n -T- - ~

vo~ R R - III I 27tx 27t I QU i- 0 E tV = ---C-- m = L Ka

T6 a01p6pIAoV AOlnov 1(0)la TOI) S t okes jlpound OUYQIlU(OY roshyXUT~TWV anoTEAei AUatV tou npopAil~Qtolt tlJc jlETU060E~ TOO KUllaTolt poundnt a1tELpou PciSoue (Ka8cix Kat tlti ata9Epou Pcishy90ult Mv oVtLKaTaOtijowllcv pound1e TCu ltivw EtlociloEle tOV h9tshyTllV 81 EVOlt U1tEpPOAIKOC auvll)1ltOVOu Cosh) nAllPoCoa Tae ItPOU1t09Emllt tijlt 0tClSep6tlltolt HOV )Inlillv Kat toov mpoundoEoov Ent tflt tAw9poundpalt poundnLcpavE1cu Ai ttIOOOmIlt autal O)lOI6~ouv aKpl~amplt )It 0lt npol1You~va~ toO KU)IatOlt Gcrstn el nashyparnpOul-lEV 6JWC to tl(1tAnl(nKOV 1tapaootov 6n to a01p6shyhAOY KOlla rou Stokes vn auVTaul~pound(al 11pound TO oTpOPtAillshyamp e TOO Gerstner Tol)to OIlWlt looouvallEI Ilt [0 vei crvyKpishyVU)1lEY jllay cil(PIPIl tl(cppaolv )Ii ~iQV I(Qra npoOEnlOI V ~ (mOl Q an01E-ei jleplKtJv AUOtV TOO npOPAilllQrOc Iln y ywpishy~ovTelt ntpav aOTlJe tay t~aoAou900v Ii 611 va OUjlnimouv

Me[E1tE1Ta Epeuval TOi) R a nkine (tv auvExeiQ t (J)v GerStn er 1802 Bertin Bouss inesq Airy J845 Kat S tok es) aJttbelSaV 6n Elml ouvatov va QvtIKataoijooollpoundV TV ytveolv tflt [POXOEIOOlgtlt KallrroAI1lt (Sui KUJioEWlt KUKAOU) cpaVta~Ollevol u8advnv )Iti~av nEpioTpECPOlltVllV tnl KawKopucpOU poundmlteurooou ntP1t OPI~OV[lOU li~ovoC I(ai 6n poundtlt Illav Ila~av uypoO (~apushyt11roc) TOO ono[ou fa )lOpla 1tEplorpeltpov[QI 61l0 101l0 PQXJllt eilt ~YQ Kudov tJ tPOXOEISi]o t1tlcpQvEla mO KU)Iat oc 1tAnpol TOy 6 pov rli lt 61l0tDIJOPPi cu Troy mEowv TowDrov [poxOshyEIOtlt npoltPlA lil1jlIOUpythol lilO nEplorPOPillt Kurw6EY E(9EI(1e -ypajl~ijlt tvolt KUKAoU fOC Onolou ~ Olnilt Elval iall 11pound r1v TOO KWVIKOO EKKPE)IOtk 6nep avaKUKAollTal jlpound T Y ililUV nEplshyobov 1 Tillv OOOTLVWV popirov altooeitw 6(1

l = V2rrL ai C ~ --I ~ 1gL g V 2rr

-Enioqlt afttosLtEv on Kata paSolt at aKTlvpoundlt fpoundilv tPOXIpoundilV J[Eplcrrpocpii~ [oov Ilopiwv I-lELOCv[al KaTa YEoollCfPlKI]V 1tp60shy

SOy Jtt ACYOV ~ K096gtlt to PaSolt auaVEl KOTO apI91l11nKV

3z npoooov -2 z ~ 27 I(TA

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Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

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II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

_H_ Elll ftpoundamp o v pound iu~

Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

Keno ho = L at Kopultpai EupioKOVtm UVrAOtepOV Trapa

ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

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Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

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0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

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EK tll cnlAooeWe tUl V OloqlOpLKcZlv t~U~OEWV ToD KUIJUroC t OO Stok ts E1t t CLmipou I3irSooe Mv QvtIKatOaTroU)jleV TO V tKBEshyTl)V Ot t voe Cosh AOIJ3ampVOI1EV QvnoToixwe TlIV t~iaooalV

~ - - - -- t--- I ~_ __I __ _ _ _

~~~ --- I

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[0 ~-

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~o ___ bull n f f1 I ~ bull I~ ~

I

-- shy- ~

LX lOa EvetnTtl(ol rQoxoft6ir XUltO xora 1 try - Iaplacl

tflv Cf uvOEouallv to atOIXEio roD KUjl lltOC

L V~Iol -- - ~ - 19hmdT ~~

T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

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42 1 lhraJoJr TOU V1pOVr T01 I(tu(lTO( H

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middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

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0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

42 2 lJfsra fioJ TOU fI~kOIl TOV ~ua1O t L

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Ot nivuKllC II 12 13 14 Kal TO b16YPUPI1Q 15 Sellcvuouv TOI Iurrapo)(u ra(ITaI

423 Jhraf3o)~ n ii JtQIOOOV rm) kuuaro~ T

H napioSo to) KU)tafOC Elval 6noTpoundArOjlcr 0) tpualKZlv yeshyVCOtOUpyG)V alt(wv ltapay() fjC 1ll1v KllllOI)) 16 JltyIO-cOV 11 6ltoiu~ t~ap6ml alto t) )IfiICO 6vanuY)lumr 111 9alaacria iIr KUVllC hi Ti) ~)Jtoiac 6 (1VIIlO Flnopfi twi ~1( t11r axUHjLOc Kal 8wPlCdac 100 OVf~IOU Dl(1 1TaplwpIO)Itva AEKavar 10 JI YlcrtOV iilvo trtllPtO~poundtal ~L(XPl CVO OfltJeioll avaapTljlwr TI)~ tUXUHITOt Kttl 6 tapKeiw wD ciVpound ~lOl)

ToOo crTJjIaVEl on (gtIn JtampPUOPIltTIUVllV OuAuuuiav 1TFPIOX1)V 1TampPld II OjlCVllV U1TO 111P~ TO ~l t) IOLOV tile nrrllotiou 6llVom VO 61t) 01 tol)~ yWt)a~c OV01lt lf)C altoauat ooJ lrw aKtiJv KQIU tiJv 01pound19uvOIV 00 clvt )tou KU TOU p(WOIl mu rioaTC)( )Ie TTjV ~1faH)HlQ (in oiulH1 ltOtF Kal UV El vClI il fVLQut tOCo ltvEIIOIl TO Ulto)oy crOCVTU ~uyl(rtQ t1) ncp(Miou KUt TOll 1111middot KOU 00 KUIJUtolt Stv 6UvavUL VU e[vut Jl tya)UTepu

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

n APATHPHtlr

T Ii aV(IltEpfIJ ciTtotpound)tI~ltQ if~xaayen ~cioeurol

0259 31700 14865 09027 deg1 922 21 1 3 021

0259 335 100 18755 09539 09413 2233 0207 -shy02 (i 0 --

34970 3 14 2 09963 ogg 0 23 31 0120S

0262

wv

-shy35098 50000 09999 1000 23040 0210

t j Tt Illyen 1OU Tt l v a llO~ II

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

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ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

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maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

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poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

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4 In [NOI

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bull I 1 L

m 411

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bullbullbull ( __ I ()

nolAai tpyaOtTlPLuKai Kai nClpa)lUllKat ~v til 41)0061 tpyacrlaL roe Kal avaluflmi )lrAitIll b(TlYOOV Etlt t6 OUJlJttpao)lO 6n fl JlTi nEplOtpoqHKtl 9EWpio wO Stokes noplotQ to qruona CPOIshyVOJlEVa JttPlOO()tfpov mot(l uno olavofrtotE uAll1VotUV to UVOC tOO KUjJOtOC Elval )l1Kp6v tv oUYKploEI 1tp6 t6 JlfjKO toCi Ku~aOe Kut toO ~c100lJ tOU uoatcl npdYlJu lineD au)l~aivm d~ t au wKeavolx Kal on to 1tpoqgt1 tou tupatoc 1t1lOlalm mploooCpov 1tpo ttlv KUKAOflotl ICOlJnUlllV

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

EntollC t6 qgtolv6JtEVOV 00tO euroXCl trupEaOlro9f1 ano1tapaTlshyPtlOft~ yevo)ltvac un6 to) (IIU)l~OIlAiou olaapdxJfwc UKtCAtVgtl Mikhim Kui Morison 1xEtlKWe Jtt6 qgtQtVO~vov toOto6 SLolus nap EttPlOpoundv (HI47) tln fie til 9QIfmOIa KU ato OlapshyKoOe Tunou J) lItVlcrl~ Mv 1110 KUO OloKAl1pinv rtOAlJIKn1tashypatI1P110fiarc Jlule yrVlKampC poflJllaiae )IfmPOAf1r Ifj~ 21t1shycpovEae KatU tTlV OICUQUVOIV OlaO()OE(IIe ElvCtI Bt YVtOO1i d~

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

P) H OOVQ lllKI) tvtpYEIO KOtoIl0Vaoo nAulo)( KOPUltPOYPUllllflc )1[oAoY~ttal tK tfle QVUlfooOEWe 1i rn-Wot ltolt toO U0010e tv crxtaEL rr p6lt t6 thtinEoov TipE~loe Koi htppo~E tal 010 tfte aUl fl e altaE~

pLH E = ~-shyp 16

f v6a p 11 1tlHCv6tllt TOO l1oatolt Kal H L 10 uwoeKQi t 6 1lfllCoc tOO ril~atOe PH1ol r KLVl1ttKr KOL OlgtVQIlIKr tvtpYEIO euroIvai tor]

IE = _ pLH 2 8

KOtrottpw olooytol 000 r1)1[0l Xptiat~OI oUl t 6v 01tO)0YIOJlOV TfJe tVeuropytiW t oO KUIlOloc fI TOO tAEyXOO 6)ACUV 1topayoVtwv Lui 11066 Moop

H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

EvOa E = ~ hpoundPtIO 10i) ICOJlUT~ de fUb j rl KOTa tTt V 01pound060101 1 t oO 1C0JlOtOe

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

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LlQ f) lt I hO~EV JlEPIKf) VDVoK)OClV cv41 Ot(lV T) = I Ex0IlEV 6)~Ki1Vshy

72 Avadaau toO K U~Otoc t 1ti trtlrttowv E1tlKlLVroV 1tue~tshyvrov t tJJnoOtrov

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rampVIICamp~ oEx6J1t6a 6n bEv on(lPlEt aVCKAUOle tnt h6lt 6aAaashyaioo poundpYOO nopo 0101 il KOp tOTI1e toO npOO1tirrTovrOt KOIlUTOlt dVOL

8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

AUol tpEuvr]tai rrapaot1oVta l Otl Ola VCl urrOPXl] 6A1Kr ClVQKAClOle 11 Kup t6TT)e TOO KOIlQtO~ cle 16 oVOIKtOV nAaYOe nptrrpound1 yO dvut

S lt 0196 tg ltp

~TOt lt 020 Ott JtPovtc J 1 009 32 005 2 1 0015 5 2

bull

EX 17 E)EvIHea impclletO TOV Clapotis b i1J~J~vrtU rrvlJpbor -Ot 7lQoqiJ 8eoVOlfEVOl) xvuaTo~

middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

006 003 I

004 002

0Q3 002

001 002

T6 oHiypa~lla 19 oiSpound~ t6v auvtlAtcrtnv QValC Aaalwc 11 cngtvapshyti)acL tfic ICUpt6tltolt 0 Kal TfjC KAicnoo toO tTrtrrtioou ava KMlatWC OLa ~u90 000-10lt anEtpou

73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

TEAeUTOioo taut I ~OJlpoundVOU )If TO ICOtOI(OPOqlOV p~twnov avamiddot ltaCJEWlt (IS ox~a 20)

Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

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d + __H_~j_ ]

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d T6v n6l50 toO )lETWnOU t6 M ~MiXI cnov tnicrl~ ypalJllllCmC )lETa TaD la80u~ 0110 1lT)8~v pL1P l tou min

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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--

449 lou~Lo~ 1970

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Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

ploa6t1lpOV 1tpOC lrv avourrlv 96)uaouv Til KU~lat u ouvuyta~ vei 9puumvTOl ultp tttpou 1tEplomHi(lC4 4p OrUXC bd OllPCllOGlV Miwv llltOOV Jlf bjlflAUt KAioELlt 1) BE UPXIIO 0pll)crU KUAt1TUI 1tpwrl1 )(ltLIlJlTl epuOaEUII TOO KUA iv8pou xmpi Vlt (Xl1 CJUVTpoundshy)1091 (JOllnOA1l ~J( TWV pound1tlcrtPECPOVTWV uJjutwv tm 6 11) v Qnfv p6~ to 1tP-u)o

Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

B) Mla MVCl jJL lt ovappocpT)arot ocpEtAoptvn d Tflv I1UOlPEmiddot cpojJcvnv npot t o rrtACI )Olt P01)V 1l 6nOlU 7fPOKClAd cl~t6Ao)a unoeHc~IClTn tnt t1t~ l(oiTl)t ftc 9aAiraant ICal tnl tU)V 9poundshyJldilJlV TGgtV TpoundxvlI(illV f ptrov

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gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

H )EVlKfll kilcle tf t tlla(ha~ (aiYrl)( dvat ciSOVUtOtOEOOshyIJtvou jJllAlOlQ otl

Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

IInO mO=Lj

Euv O~ICO oex9G)IlEv 6tL t o 6ct80 9pauC1EOOe de dval JllKPOV (1tpu)Jlu nov Uv C1UjJaCllvEl nuvtotc) t6te SuvaHOtt va 96shyC1WjJev lCatu npoot)) LClV tghme do - rna do 6n al avwteuropw t SlC1o)aEle yivoVtaL

1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

18 I~)

060 H

bull18

1 ~ do - T Ho

do 030

R ~8 Iy)L 225 5

ltr- --shyya-

H 060 -H - - -shy

18

eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

OP lKOO 1Cigt1l(ltO~) Tf)~ tvq-yiiuC toC ICUjJClTOlt bt iUieipoo P6shy8011 taxUEl Kui Sta 1Cpound1tfpaojJpoundva Plt91 OIC0Jl1 I(at Sui 1toko JltK pU

p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

napCltT)prapoundlC etc tflV CPUOlV teUl 1tElpojJClta ampnpoundSel~uv 6n aUjJqgtCOvoDv jJeuro T aVCLncplo

y T o Oljlo Btl Kat [0 ~dII(Olt 1UrOD OpU)Opvou KUjJCltolt tbr I(at TO Pamp9olt de 9pCluoeco~ BsaptwVTal 1l0VOV h t OO 111V0~ t OO ICUpOTO II l Elc TO Olwatov 9pailocro lui t toO l-111K OUC l~ ICut T1i KUPTOtll[OC amp [OU KUjJCl[OC tn t amp1teuroipou puOoo

Et 6)bullAoo Co 8EwP1nKCt aOIl1tEpaajJCl[a Uv [crxuouv Sill jJpound YCtACl 6ueAAwon KllJlll[a

ell w

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KTllPIOTIICOV Tf)~ Opau(Jpoundll) tlLiv 1JIUITWV intcppuivLt apUTu

bullbull

451 louALOC 1970 Tcxvuco XpOVlllCo

[~V 9EooprrnKtlV 050 - 060 KOt EUPIOKETOI auvt9ffilt lJtyo~ AUtSPOtoo I tVOtE ot Kat 265

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H apooOl~ AOtrrOv toO KUIJOtOo OEV Eivol tonSpolt tvo~ Ppo~ Mo~ J1IlXOVIKOO lJpoundtaaXIlIJOTlO~OO sOootpoundpIK6gte toil KUlJato~ aUit ft tEAIKll ltpLlal~ SVOC toxtoo IJTlXOVIKOO J1E1aaXlIJ01101J00 hi IJlliC nOAu Ilpaxpoundiae OltocnaOEooe Kol 01 tOXUttpound~ dC Tliv KOp~riv Kal tOV nooo oAiYov OIOqlSpouv hpoundiv(J)v tvoe OPIO~ KoD JlEIJOVOOIJpoundvOU clnAoD JCLlKAI VSPI KOO KU~OtOC tOO a)ToD EUpOU~ Koi JttPIOOOO OIll 10 aUTO PaOoe 130010e KaOetOU Ent to tnfnpoundoov fJpfJ1ioe tfle 90100011lt tie TiV apXllv tfle 9POOOEWlt

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nopaAA llAloj10V 1Jpound1o~O 1fe oxso Eoolt ~()o Kat 1nC avoAOY100

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~06 = 05 Koi EAotTOOTOI 01011 TO ~ o~OV(I

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3) AI Oleuroa etlt ~ Kol ~ 6vTLotoiXOO~ 6)iYOv So~EPOOV tlOv tlJ16gtV 125 Kol 150 OIU )doult nU9J1EVQlt tAOcppGle tnlKAI~ vd~ 0))0 eupt9T)oav va p9OVOUV ovtlOToixwlt Tae TIlJoe 25 KUl 175 hi nUOIJEVWV tIOtPfTIKlO~ OVOOJlQAwV (tpoXEflt) At oxpoundapound~~ OOtOl AOIJPOVOUV JlIKPOttpalt tlJlCu OTOV KUpshytOtllC S tOC KUJlOtOe de to npoundAo(oc o~avEI (00) fffilt 005 ~ 006)

() H axpoundmc ~IO unEppalvEI nOVt01pound tnv 1J0voSO Eni AEioov

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d1Ja90C 10 elVa ltEPIOOOtEPOV 600poundVE~

dUVQtOt OJlW~ oriOIe ~t v6 la30 tIJliV JlIKPOTtpOV tfl~ ~ov6SoC OlaV 0 rruOJlr1v hT) JIIKpaV IJE V Kliotv 01) 0 poundIVai JtOAO tpOXlx

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KAiOlV aKtiJe 19q1 t6Oov JIpoundY0AUTpoundpOe OOOV rl K)ptotT)e 0 tOU KUJlOTOe poundte t6 nSAayoe EIvOi IJEYOAT) fitO 010

~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

BoOpoundt tt)lt aPxt)lt tt)~ tlOJlOIOlapound(J)t toO Opaoo)Jpoundvoo KOIJOTOlt 01 EVOlt 6PIOKOi) )JpoundIJOVOOJlpoundVOU ErOUV ylvpound noUni 1JpoundAtt0l to anOtpoundAta~010 tU)v Ono(oov auvOljli~OVtOI KOturttpOO

I To PaOOC OpouOEOOlt de elvOl tOoov ~ey6lo 60011 10 H ElVOI

lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

EniollC Ko9 UltOAO(IOIJOV OXEOIC elvot otoSepa Koi ElvOt Jttplaa6npov ~EY (U1l 60011 to L npoundJ6(ouc poundIVai ~tKpOV

2 T6 ft)polt H ElvOt TOOOV neplooonpDv ~EY6AO 60011 T6 poundupolt H ff~ to ntAoYolt Elvol IJEYOAo a l Aa K010ltiV uno)oy~

A II e 600--- OJloO I aXtalC H EUPE 11 tOll np lt J 0 ) Kal t6 poundupo~ He 90 lJpoundt0i30AEt0l TOTE onooc 1~ tllJTJ LT

Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

-bull 0 bull _ un

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V gt110

to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

~V

P EX 24 LJuly(al1110 )tfwv amp(8fwv 8(ovopFvruv XVP(iTwv Honi Danel

452 TeXVIKQ XpOYlKO lou~lOlt 1970

9paUOjlEVOOV 6p9iwv lCO)1tltUlV BI06tQl EiC t6 5u~yp(lJl~la 24

OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

EViOjuv flvGHiph) on T) llsy(crtll fvtacn lOU KiJlUTO rmpUtTshypthUl Ota trv OTt)Illlv epaucrpound~ lOU Kcd aim) i faxuC poundVOIshyaltpcpl tOV imoAoYIOlIOV tltLIV 9aAoaciwv EPYroV

H at)vOfOUQOIlEVl EVtOVOlt K1VltlK6tJ)C t(i)v Iwpifl)v WO 11shyoatO~ JIe to liao)1lttpoundOlOV milaC anOttA6t )Jiav tampV JoUplOlrpoundpolV Ol~JKOAUJ)v Sui t6v 1tPOcrOtOPIltTjJOV 6KPIl3011 -rijc iCTXLJOC toO JvIJQtOC bull Aqgt htpou Mv OnoTujJw oV[U(6jJOOllEV _TlV J(iVllOW

tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

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a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

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pC p ~ -

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Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

El~ oix QVW1EPOO unoue 010 H = 20 rL C = 32 fl sec OtE p ~ 2048 Ib ft ~ 091 t fL

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Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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a) ouva~lIl(ilV tvepYpoundlav OCPEIAOIlEV TlV EtC r v imEPUWooOlV tGlv ICtvtPUV (hawpaxljc TGlv )lOpLCUV 6mpavw 10Q eltlnpoundOOU 1lppoundJliae

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

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L TOU I3ciSouc tOUTOU o iaotirroTE OlCltOpaxn pound1C Til v tn llla-

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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at etr iov n6Bu t OC IUtcUJtou fl niEate dvOI jl6vov USpOOTOmiddot tlKfC ltpOOEWC

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0 na~nold 1t0COOE tOV KCLtCOTepco tuna V tfle jleyl(JtTle 1(l sOcWc

hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 6: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

Iou~~ 1970

6(ltilplaev c5tl -614) tili taXtH1TOC tampI IOpioov t6 IlEaov bdshyJtampoov npejJLaa tfc 9aAU(J01lt iH[fpU4l0(rm Kata Tn amppav

~ YO nH (rII~ 5atQpax~ Kata ho = L ~ --u- 0 = i)ml

rreplCflpoQ)iic tGlv IJOpwv t1lt O poundu9ip~ tnupavEiru - ]2[)

0 t IC TOUtDU f) IClVI1UICTJ tvtPYElQ TOO KUjJQTOlt Elval omAuOia d~ tOtUimlC r(bv IJopl(l)V amoO A0Y41 1illt CrV1HIOOE(I)t wimlJv Kal a ho

-H geu)p(u afull bti Q1tEfpou paSoue uverrmx911 OUfOOIlCG)( no)o laquopyOtepa TO 1935 UltO TOi) Gaillard

At ono9tOpoundIt Kui o( imOWYICJIwi TO) Gerslner l((Ii Rankine tnEI3pound~auiJaOQV tnICJTIIJW TO 1940 imo laO Gaillard Kat Milchim unO TOO U S Beach Erosion Board TO 1941 un6 TOO Morison to 1948 imo TOO RL Viegt] TO 1950 Kat U1tO TOO rSlitut~ oC Engineering Research University Tfie KQA(jlopvi~ rropaampX9tvTClt Otl t1lltupaVGlu talv (tc uvtjWJv) 9uMcrcrlmv 1C1Jllatoov dvu )ldUov tPOXOEtOftlt ltupa KUI)IOE1(gtImiddotI(

BE~U(Wlt imapxouv Kat fiJ1UI Aucrellt to) 1tpoBl~llato u[ 0shy1tofUI ntPlcrcrOttpOv 6j1ot6~(luV 1Il tli KUIIUtU tol1 lh~Imiddot~tncl KUt 8tokl~S unacat 61100lt houv tel t111lt KalVO crrlluia

u ((oollpoundva tva )LOVOV KOjJa Eva ~90lt ~vu 00lt EVu IIflKOlt tui tva cnJcrtTllJa lteplo1V~crEoolt

6 H tMlJgepa pound1tIql6VELO t oi) KUjLatOC rcupajJpoundvEI ltuvton ~ 6Kl1i~Ela cruIlIlEtPLK~ poundv Oxpoundcrel rcp6lt talt KataKOplxpoult tampv IWPlltpWV Kat tampV 1tOOWV o[ouorptotE crOO(1)JlUtOC ltEPIOlvi)OEhle UfO tilv OIEOOUVOtV toO KU)tUtO~

( R tMu9tpa tTClfl)OVEta toC ICUjJUtOlt TOUVOVTlOV otv EXE tvtelGgt Tliv aimlV OtplV avoo9EV Kal Kcltro9EV TOO trcUIEOOU 1shypEJlIW KIll to t~op)tala 1C0t0 )(av6va dvat o~irrampPU tvlV ttl I(OlAmJlaTa QJlp)incpa KUTU TPOnoV 1tampploltJonpov oxptpfl iJ EMUOipa btlfl)clVampIU TOO U1tAOU 1-olVOPKOti KUlJatolt Sty OIUshycpEPft )lIlie TPOXOII()OC~ KUKlufI~ fI poundA41ltTlKTi~ KUII1tUllt EltL D1tdpou i1 crra6cpo() Baeo~ ltvttcrTollW 1tapu dlt ciplltJIIEVa 6jlta (TOO tllTpa(IDOU) Tlj 1C1JptOtlltor I~ (in OUIl3uivl] n rmplOxil 1ttPI~ nuv ~opuipltUv vO e[val 6~ut~pa Kat r ltEPWX~ ntpd~ tOU 11006lt n 1tEPIOcr6ttpov ltErtAaTUjJEvq

H tCtXUtllt ltEPICftpOcpnlt TCUV 1I0pioov EI~ 3a90lt Z ElvUI tcrT[

2~j npoe lJ7 = --1- - El~ tl]v KOPUQ)lV elvul 6PI~OVtlO ltpamp

ta ltj)O(JUl ~Q) etc tOY JtOOU 6pICovtlU 1tp6t tn ordOoo H tUXUshy(11lt troy pop[oov tlie E4uOEpu~ sf[lqlavEI~ tTi~ OUAUaOl

H dVUl u~ 1 T To CJltl)~lU 7 OWCWpoundL t(I ~ OluooXllcaC ltpIOEI~ olu06OEoolt to) t-UIIUTO tnt altEipou Sa9ov-

~A~lOV Jtp0ltJoxfc tU(XQVEI to (pound(ov~ un njJopCJ)il Td)V KOposhy

II qlrov UuptlitUl tK tt)lt ICupt6tqtoe 0 L toO ICUjJCHOe Kal

t rl crxtacux Ti) UKtlvoc 10 tn~ tpOX~O~ TmV JlOptrov ltigtlt 1tp6 t v QKtLVa R wu YEvtOIOUPloi) ICOKAOU npo(IJUtl tIC TlUv llHJWcrEOlv JtPOICmtEl Otl to ~~aPlJa TOi) ICUlJaTO~ 1XEI

H(I) H(I)~it1ltK X()pof~ T -8 - l lCal to )(ol)wlJa T s + 2

EICJ)~ovttlt ni lJI)Kll tUota ei~ ltoOOOTOV eni ToIr EKUt6v tOG 6)00 IILiKOUlt L t ou KU)IQtO~ ~XOlJev Ott 1~ xOflofl toO t~apshy~(ltOe arcotE)d ftocrOOlOV E = 05 - 0 toi) dlICOU~ L toO KUIJUtOi ToC ot 1C00AIDlJutalt K = 05 + 5 toO IlrKOU~ L tOU 1(UIJUtoe Etvm ltPOQlUVpound~ 6- tampv QVtlltCP(ll ltoOoOtLatoov Oxcocoov Otl laquoDcrov Tt I()PtOTl1~ 0 toC ICUIlUtOr aU~aVEL a) [ooov 1 xopo-n [ou aupIlUtO~ ~1Ilol)ta~ ICcd toaov fa t~nplluta y[vovtU1 KlJpt6tEpa KUt u (ltOV[UI tampv 1C0PUQl(l)V 6~6tEPClI

In TOOOV Ii xopofl tol1 KOlAwllatOe (IVEtal jJE(uAl)tepU lca tocrov 1 ICUllmJAIl toO oIAwllato~ ltC1tAutlJptvTl

t= 0

t=-bull T

t s Tbull

t =2Tbull

t=~bull

L

I shy- -L--

Tflv jJopqnlv tfl~ KOPUql~ Oto oaltp6poult ICUpt6Tlltult at lti tav ro gt R ro = R ro lt R Tn ltJxTpata g Kat 9 OEIKVUOUV toe 6vrot~pOO jJeuroTaBOMl~

-C(o)teuroV Oll~ lCa9E )o(ov va 1ttatElxo~IEV Ot tV r~ pUOEl OEV exOUV ltupatl1Pl)9t) JtOtt KUllcrra Ilpound KUpt6tllta uJtep3uvolJcrav

TO 14 de inEIPOv a60oe OoA6crcrTle KUt to 014 tgh 2~d d ltEltEpacrlJEVOV 3aSoc d Kat CfUVBJI(ba rIo lt 0 14rrR = 044Q R

Eqgt Baov AOiltOV af 1tpo3oAai I(IVrOCWe TOC 1I0piou tnt i)uo ul6vUJv Ku9EtUllt TpoundlJVOIJpoundvoov ~~c)oDv 6P~lovIKae KtVl(JtI e ni 8aMicrolu I()IIUTU elval lCui tylCepOlu )(ui OIUIITKll (mTyxp6shyvogtlt)

ErrlO1l( OEOV va OTlP r loo8~ OtL OUllqlOOVooC ltpolt t1)v clrtOfiEl XOdltJuv uJto toC TIlIkilll UltEpUljCIlOIV toG t1tlltE00) )pqtac

6 = __-7(6 -shy rgt A ) L 2 2

R _ L _ c ( amp -- -= R ) It2

_H_ Elll ftpoundamp o v pound iu~

Q (6__) 2 _shy b (15=--)

Bc

d

441 louAloC 1970 TtXYIMQ XpOYlMQmiddot

lt- shy25

L L-gtdgtshydgt

2 252

rrr0

Keno ho = L at Kopultpai EupioKOVtm UVrAOtepOV Trapa

ol lt68EC l3a96tEpov Ev oXEcrEI npoc t o IJEcrov EltllteOOV ljpeshylJi(l( Ka6 TO UjIOC hI)

41 Aui pa90~ n~tvo JtEJtEpOoptlov d

navtCl T 6 vwdpw ioXUouv WC famp1 tllX9T) otav to tJlt90C TilC 9aA6crollC poundIvaI dneurolpov SEWPlTIKG)( 6uvOIJe9a 0 9ampU)Pl1oCl)shyIJEV [crxuovTa T ovU)ipw OTClV to paS oc TOi) TtuSlJtvoc d El v(u IJEyaAUTEpoV ~ icrov npOCTo IJitKOC L ToC KUlJatOC d L Ii npaKTlKUlC d ~ L2

Tijv jlampT680olV TUlV ICUIJ6tU)V Eni mnepaOIJEVOU 36Souc d ntOi IJIICPOTEPOV toO IJT1ICOUC tOD ICUjlaTOC d lt L tlltpaKTlKooc

-i~ lt d lt ~ (HiE crXESIOV 9a) EIJEAEt l)crpoundv TrpWtoC 0 Airy

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0 9 9 LICOUC KOlJat Oc npO flO OC nu jlEVOlt d

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T = y 2~ld clg h md ( lvOtl m = ~~) Tcr IJOptO ta euplaKOIJEVO Etc 13ir60lt z ~il aypCHpoUV EAAE lnlI Kac t pOXtae nEnAaTUjlEVOC ata T6v optsovnov aovo

01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

Hd Cosh m d - i b = ~ sinh m (d- zj IX1 I sinh md ~ 2 sinh Old

EK loilTWv o ui Z = 0 EXOIJEV Ele tllV EAEu9tpav EntqxlVEIClv

lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

Hd t ov lTUSjlEVa a rl = 2 si nh 1JHi

H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

= crtagepo KaS OAOV to 30901

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0

N = ~ f f r middot udzdl tl -d

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TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

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2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

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12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

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31 3900 50000 09999 11000 78 0 0629

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44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

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20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

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sec

m

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middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

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J 3640 05178 04760 1075 520

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5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

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75

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a ~79 6370 07888 06577 0952 796 0581

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0449

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9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

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= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

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Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

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2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

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079 6770 0640 04333 1 J 1 67 0805

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0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

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O4 ~8 10900 08640 06 983 0916 1090 04 2 1

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0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

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bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

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7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

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H JlEyicHT] 6PlCOvtia raXlHT]~ toO )lopiou ElvClI eurov tOlClUt(1 ftEpl1nrocrEl

21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

Ei~ rrv eAEoSspav tnupciyenElav tt1~ SUA6crcr~~ lI ~euroyicrtT] tQshyx6t l1~ unoAoyiltpoundtal SEtOva~ z = 0

ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

P

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0

maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

BE TUP I nt ~lIIuT bullbull TOT

4 In [NOI

L Vb wbull r _ It

bull I 1 L

m 411

j ~v

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Jt ot- t t

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t bull

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Ev tOlJt(H it 9Eropia CtOtTl crtl1PlioJlpoundvl EL- tlV nEplOrpocpilv tWV JlOp(rov ~nl K410tampv tpoXltllV irvtnf9ttul ete 6v tp6n-ov oxlH1atlo~oO tlllv KU CltOOV OOtlC aJtQIlEl Ini npoundpOtporpIKO~ tPOXdlC Ol1AooTi QVOlKlOe

bull a t 11

UH TOT MKO H ~~ 00 Tol 05TIIIU

( f[1 THI nC~ loo T OH 4

TOT nHor

I Vmiddot T= bull bull ~ -shy

h ~m fshy1 ~

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bullbullbull ( __ I ()

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

EntollC t6 qgtolv6JtEVOV 00tO euroXCl trupEaOlro9f1 ano1tapaTlshyPtlOft~ yevo)ltvac un6 to) (IIU)l~OIlAiou olaapdxJfwc UKtCAtVgtl Mikhim Kui Morison 1xEtlKWe Jtt6 qgtQtVO~vov toOto6 SLolus nap EttPlOpoundv (HI47) tln fie til 9QIfmOIa KU ato OlapshyKoOe Tunou J) lItVlcrl~ Mv 1110 KUO OloKAl1pinv rtOAlJIKn1tashypatI1P110fiarc Jlule yrVlKampC poflJllaiae )IfmPOAf1r Ifj~ 21t1shycpovEae KatU tTlV OICUQUVOIV OlaO()OE(IIe ElvCtI Bt YVtOO1i d~

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

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pLH E = ~-shyp 16

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IE = _ pLH 2 8

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H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

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LlQ f) lt I hO~EV JlEPIKf) VDVoK)OClV cv41 Ot(lV T) = I Ex0IlEV 6)~Ki1Vshy

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8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

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S lt 0196 tg ltp

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bull

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middotlouMo~ 1970

0 cngtltpounduaT11t olcl)cuaecut II Srn lIPOli ia loopi uvrollOshyAta xat xtllpt 8puu(JCI tool KUIli-tWI oui OUvn9tr rrepu)5ow 00 KU~tato 6ioetUl ito tou lILVOKO J8

nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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d + __H_~j_ ]

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Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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EX 2J fl(otpu xVpoco Clapotis

Q bed c

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

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Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

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1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

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BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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bullbull

451 louALOC 1970 Tcxvuco XpOVlllCo

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lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

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Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

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Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

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to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

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~UJlcproV6)t npOt tllv aPlllv ffie opacrtooc aVT iopaCJl t ~1tICPashyvampm igtqI1Gta~livfl~ ouvuxfj TtleOtV uno]~OYI~ampal lJE ov pu9)l6v tlouOcepW01~ TI~ KIVl1ltKfjC oVEPyetcu

-OmE av P Elval to lapo C )lovaOo~ OYKOJ oC iJSao~ Kal C i1 axiltllC olaOOOECO C ou Ku~aTO xrna 1~V cnYlJtV 1fI~ jJ ty[(rnl ~ tVTaOEOlC 0))011 (9paucrecolt) 6TE hl fflt 1l0v6oo~ euro1tupov doC tvEPIt nitOI iOTl npoe

pC p ~ -

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Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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0 Gaillard EO(JJltJpound KaOnlv P0TtOTtOli]OECOlt TOC nvoo 1lmOU

tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

bullAUot epwTltie il1tocrtTlpl~EI 61 ft ax1)fl1C C 5ui puS

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

-Av AcljJWlJpoundV un OjllV ooe fXEI flol) Civacppoundp9t) Qvwrpoolhl 6 Oil ill Hd OhEWI on Ii mlirrT) lt (Iv lJopiwv fflt KOPUcpfjC lQfi KUJlaoc )(a1li i]v OtIYJlIlV t11lt 8pouO(jJ~ elva I lJpoundfUAUttshypo l((tO 30deg6 rc mxiltllTO toC fUIJQfOC t 6e i1 crm9cpu I(

aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

fPUUlV Cfic crltpupuC (O itre) BEv Exou v uno)~O) l cr i~oUC Cl~Cu napa l(Qt E08Elav eto Co ait to crllllElov hBo t 6 lCO~a nuJEtOI lCui KU1OO1pEpEtOl A ( nIEcrEIC alllUl BlocpEpouv no)) ano KO~a at KO)lO Kal ana OIl)lEiOV do 011)lE(OV BI011 to Kfgt)lCt Stv lCatashyOtpECPE1OI nott Buo pop6lt KUtel OuvEXElav tnt toD OU t ~O 011shyIlEiou OUl ouvEx ii TtelA)lW01 V EniorjO a( TtleuroOEIC aotal poundtva )lEaAutEpO I Kul JlEta~aAAOVtal ano 2 EWlt 5 popao ( t o n180shyVcOt EPOV 4 f)op6lt) tWV mpoundcrEwv tWV tivoltrucrcwlltvOlv 1C00tO t nv pam V fPOptiO tOllt (Bou rrage)

H tl~r 4 lfIaivEt aL vel c(VtlOtOIXfI EtC t Tiv 6) IK V lCutaotposhyqnlv t flo nOOOtrj TOC tfllt IClvi]OEWlt TWV Ku~ciT Olv ICCnO t]v BpaDolv

y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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92 4poa~ t OOv KUI UHU V t Id Mw)() v ~ t KOtOKOPl)(JlOV ~Lt shyTWItOV

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

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VElOV otv trrl1PECt~El TTiV rri eOlv

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

To ETEPOV 0l1jJOvtIKOV cpalvO)lEVOV tf)e 6not6~ou nATl~WC tflo 6aAacroioc Oltpopoe ent TOU ~lpoundtW1tOU Ku~ato9pauoTou Elval 1tapOIlOloV jtpound t6 YVWOTO V EtC 1ilV UOPOU1LK1lV laquo)opaukllCov ItAtlY)lQ)) omv OTto t6j1oolt ICMLOooJlEV t itv Ol1(Apoundioa tvae 0)00shyyoO tvToe ra onuiou peel UOwp 0 lCa6rjYIlTTI1 Gibso n ontshyOE l~EV 6 11 l() oopauALlCov n1fly~ a ouvaTov va 6vanTU~lJ eowshyTfPIICUC n-ltOEle ~tXPl toO 15n Aaoiou TflC SmqlOVE10KftC 10 1shyaUTTle

EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

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yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

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ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

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to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

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1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

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At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

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bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

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~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

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01 ci~ovec TcZlv EAAElltTlKUlV tPOXIUlV KlvijaEooc T(i)V lJopiwv Etlt 3660 c z dVOl

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lid Hd IX r = 2 clghTIt 110 = -~- )ai OLD 1 = d fX0Jgtev Ei e

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H EKKEVtPOtllC OOV EAAeijlEffiv TOOv rpoXloov TooV lJop iwv Olli oto9poundpov 3irSoc t1 VOl

_ 1 b - a _ Hd - a _ I ~ - rl - L clghmd - r1 shy1

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middotAv ICoAEaWIJ ev Nd tnv EVEpyetaV EVO ICUjlOtOe OLOStOOIJEVOU Etc ~a9oc Itu91J eurovo lt d tOtE ItPfltEI N J Nd

H IJETaqgtEpOIJpoundVl) OlJffie tVEpyElo N 01(1 tile nEpt 68ou T TOO KiJshyJIutoe ~eTOCU n09IJtvoc Kai ic Emqgta ve [oc tfle 9oAaaol) C tl vOl

0

N = ~ f f r middot udzdl tl -d

tv9o P = r niEOl C toD ICulJoroc KOt II -= 1) OPI~Ov1io t0XUtfe (H TEtoyjlEvl) z I1toAoyi~euroTQl SenICij ono t lie ata9jllle tie SOAOcrallC ~pEjliae rrpoc TO avw)

YltO i)v rrpol1[69poundOlV Ott Stv UltpiOWTOl KOtOOTPOqgtr tvepshyye ioe 1C0t ~ npUJtl)v npoatYY10lv Sla ti)v lJEtaqgtopav EVepshy

2 yeioe npOlCU1rTe1 9trovraC ill -= - -- shy

L

N0 Hd~ middot Ld (l 2 md ) Kal N0 = Ht L - Ii = tT r ~ inh 2 md -co IT

TIPE1teuro1 OjlOgtlt v6 iaxuijoulJltPwvroc np6lt tOY N61J0v BtoTlPT) shyaEWC tti c EVEPYpoundloe

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

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0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

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- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

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f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

42 2 lJfsra fioJ TOU fI~kOIl TOV ~ua1O t L

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Ot nivuKllC II 12 13 14 Kal TO b16YPUPI1Q 15 Sellcvuouv TOI Iurrapo)(u ra(ITaI

423 Jhraf3o)~ n ii JtQIOOOV rm) kuuaro~ T

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

n APATHPHtlr

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0259 31700 14865 09027 deg1 922 21 1 3 021

0259 335 100 18755 09539 09413 2233 0207 -shy02 (i 0 --

34970 3 14 2 09963 ogg 0 23 31 0120S

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wv

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

Ei~ rrv eAEoSspav tnupciyenElav tt1~ SUA6crcr~~ lI ~euroyicrtT] tQshyx6t l1~ unoAoyiltpoundtal SEtOva~ z = 0

ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

P

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maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

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4 In [NOI

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m 411

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Ev tOlJt(H it 9Eropia CtOtTl crtl1PlioJlpoundvl EL- tlV nEplOrpocpilv tWV JlOp(rov ~nl K410tampv tpoXltllV irvtnf9ttul ete 6v tp6n-ov oxlH1atlo~oO tlllv KU CltOOV OOtlC aJtQIlEl Ini npoundpOtporpIKO~ tPOXdlC Ol1AooTi QVOlKlOe

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h ~m fshy1 ~

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bullbullbull ( __ I ()

nolAai tpyaOtTlPLuKai Kai nClpa)lUllKat ~v til 41)0061 tpyacrlaL roe Kal avaluflmi )lrAitIll b(TlYOOV Etlt t6 OUJlJttpao)lO 6n fl JlTi nEplOtpoqHKtl 9EWpio wO Stokes noplotQ to qruona CPOIshyVOJlEVa JttPlOO()tfpov mot(l uno olavofrtotE uAll1VotUV to UVOC tOO KUjJOtOC Elval )l1Kp6v tv oUYKploEI 1tp6 t6 JlfjKO toCi Ku~aOe Kut toO ~c100lJ tOU uoatcl npdYlJu lineD au)l~aivm d~ t au wKeavolx Kal on to 1tpoqgt1 tou tupatoc 1t1lOlalm mploooCpov 1tpo ttlv KUKAOflotl ICOlJnUlllV

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

EntollC t6 qgtolv6JtEVOV 00tO euroXCl trupEaOlro9f1 ano1tapaTlshyPtlOft~ yevo)ltvac un6 to) (IIU)l~OIlAiou olaapdxJfwc UKtCAtVgtl Mikhim Kui Morison 1xEtlKWe Jtt6 qgtQtVO~vov toOto6 SLolus nap EttPlOpoundv (HI47) tln fie til 9QIfmOIa KU ato OlapshyKoOe Tunou J) lItVlcrl~ Mv 1110 KUO OloKAl1pinv rtOAlJIKn1tashypatI1P110fiarc Jlule yrVlKampC poflJllaiae )IfmPOAf1r Ifj~ 21t1shycpovEae KatU tTlV OICUQUVOIV OlaO()OE(IIe ElvCtI Bt YVtOO1i d~

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

P) H OOVQ lllKI) tvtpYEIO KOtoIl0Vaoo nAulo)( KOPUltPOYPUllllflc )1[oAoY~ttal tK tfle QVUlfooOEWe 1i rn-Wot ltolt toO U0010e tv crxtaEL rr p6lt t6 thtinEoov TipE~loe Koi htppo~E tal 010 tfte aUl fl e altaE~

pLH E = ~-shyp 16

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IE = _ pLH 2 8

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H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

EvOa E = ~ hpoundPtIO 10i) ICOJlUT~ de fUb j rl KOTa tTt V 01pound060101 1 t oO 1C0JlOtOe

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

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LlQ f) lt I hO~EV JlEPIKf) VDVoK)OClV cv41 Ot(lV T) = I Ex0IlEV 6)~Ki1Vshy

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rampVIICamp~ oEx6J1t6a 6n bEv on(lPlEt aVCKAUOle tnt h6lt 6aAaashyaioo poundpYOO nopo 0101 il KOp tOTI1e toO npOO1tirrTovrOt KOIlUTOlt dVOL

8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

AUol tpEuvr]tai rrapaot1oVta l Otl Ola VCl urrOPXl] 6A1Kr ClVQKAClOle 11 Kup t6TT)e TOO KOIlQtO~ cle 16 oVOIKtOV nAaYOe nptrrpound1 yO dvut

S lt 0196 tg ltp

~TOt lt 020 Ott JtPovtc J 1 009 32 005 2 1 0015 5 2

bull

EX 17 E)EvIHea impclletO TOV Clapotis b i1J~J~vrtU rrvlJpbor -Ot 7lQoqiJ 8eoVOlfEVOl) xvuaTo~

middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

006 003 I

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0Q3 002

001 002

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

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Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

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d + __H_~j_ ]

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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--

449 lou~Lo~ 1970

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~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

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ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

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lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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At OUVaf1ClI a lltOI elYIlI

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Lo -= H1187 d

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du HoIi ~ 001 IT 075 - 1- - = 150

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0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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451 louALOC 1970 Tcxvuco XpOVlllCo

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~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

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lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

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0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

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E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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IOUAIOC 1970

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2ru LR= He

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Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

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fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

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C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 8: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

TrXVHCO XPOVItCQ loulolaquo 1970

n I N A _ II

META80A AI

MOPION TH[

TON [TOIXEiON L d Hd Cd T OT KTMAT O[

EAETeEPA[ Em~ANEIAr TH[ eMA[[H[

GERSTNER

[TNAPTH[EI

KAI TOT U o

TOTd AlA

TON

nEshy

PI OAOT[ T=5 KAI 6 bullbullc

d T 5 Si9C T6 sec

Lei md t hmd HdH Cd U 0 H Ld md

05108

hmd

04706

HdH Cd Vo l H

2 2100 0598 05359 hOlO ~20 I 19 I 2560 1073 427 1233

3 2~0 07569 06398 0959 498 0944 3070 06141 05 4 70 1012 5 2 0969

bull 2790 09008 0716] 0 1931 558 0 BIB H70 07244 06196 09 69 578 Oan

5 3030 10 170 07787 0917 606 0742 3810 062 ~5 06775 0 941 e 35 0728

6 320 11706 0 825 0913 e2 0717 4080 09240 0 17278 0928 680 0689

7 )leo 13090 08640 01914 672 0667 ~ 31 0 t 0206 0 7701 0918 7 18 0627

8 3490 14400 08937 0920 698 0~6 4520 11120 0 8048 0910 755 069amp

9 3570 I~ 8 0 9192 0926 74 0638 46 80 2087 0836 3 O~ 13 780 0574

10 3660 17170 On7J 01935 732 0626 4840 129BO 08612 0916 807 0557

320 11 5 79 09523 0942 44 062 I 4960 13937 O8SitO degr917 827 0544

12 3760 2pOS2 09643 O9gt 752 0620 5070 ~868 090 27 0922 8 5 0 5)5

3790 25 54 0 9734 0960 75 i 062 5 1 60 15834 0919 I 0927 8 60 0 5 29

1lt 3820 2 3030 09821 0969 84 0621 5230 6814 09328 0933 amp72 0525

15 38 04 0 24540 09 853 09 72 768 0 621 53 00 7775 09440 0 918 883 0 521

16 388 0 29142 09941 0986 7 76 0623 5440 207 9 0 09691 0956 907 0517

20 lB90 32300 09969 0902 77 8 0625 ~500 2~ lt0 09794 0965 9 0516

25 3890 40375 09994 0998 77 B 0628 5 5BO 281 50 099 2B 0984 930 0519

30 3900 411330 --09998 0999 780 062 8 5600 33660 09976 099 3middot 9 33 05 22

31 3900 50000 09999 11000 78 0 0629

40 56 0 it4BOO 09997 0999 9 35 0524

44 60 5616 5POOO 099 99

000 936 0524

d 13 a~o [ou Ttult3~ivo [11 lt3a Aa o H Ittrn

~iil(o [ou l(ujJcn o rna ~alt30 nult3IUV Ol d d mLd

u~oc d II mHd = H = d=cn 1Lt m

20 Ld = v - g- -cthmd T

L_d_=VgL~Ihm d T 20

TtHd ~ ---11 ~U VLo[ [a x u Itl V~ poundCIl [IiIV jlop iwv [ij iAtU~ipalUo 2C d STtlfd Vtla [ii lt3aX aa~ liul pci~o 1tU~J1EV O ~ d d m se c

Ih md+ md (Hh 2 m d)

sec

m

~~ ~ EiH(6~ KpOKUntet )aJIP6vovt t~ int 6~lv 6tt B60~1 t OO UVOlTtpoo runou a uvnoYlloav a xetlKai atftl al tiC Ld - Ltghmd TO~ xi vtt)ac 1112 13 14 ICal [0 s~ UY PCl)ljJQ 14a 8isoooQI t 6v

Hd ) Hd (H ~ - -m - -- l-=n-d) )6yov H (J)vapttlCfSI toO aaOoo~ rl Sla TOe cn)VtlOW~ XEmiddot19hrnd + --(v - Lg shy

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

42 2 lJfsra fioJ TOU fI~kOIl TOV ~ua1O t L

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Ot nivuKllC II 12 13 14 Kal TO b16YPUPI1Q 15 Sellcvuouv TOI Iurrapo)(u ra(ITaI

423 Jhraf3o)~ n ii JtQIOOOV rm) kuuaro~ T

H napioSo to) KU)tafOC Elval 6noTpoundArOjlcr 0) tpualKZlv yeshyVCOtOUpyG)V alt(wv ltapay() fjC 1ll1v KllllOI)) 16 JltyIO-cOV 11 6ltoiu~ t~ap6ml alto t) )IfiICO 6vanuY)lumr 111 9alaacria iIr KUVllC hi Ti) ~)Jtoiac 6 (1VIIlO Flnopfi twi ~1( t11r axUHjLOc Kal 8wPlCdac 100 OVf~IOU Dl(1 1TaplwpIO)Itva AEKavar 10 JI YlcrtOV iilvo trtllPtO~poundtal ~L(XPl CVO OfltJeioll avaapTljlwr TI)~ tUXUHITOt Kttl 6 tapKeiw wD ciVpound ~lOl)

ToOo crTJjIaVEl on (gtIn JtampPUOPIltTIUVllV OuAuuuiav 1TFPIOX1)V 1TampPld II OjlCVllV U1TO 111P~ TO ~l t) IOLOV tile nrrllotiou 6llVom VO 61t) 01 tol)~ yWt)a~c OV01lt lf)C altoauat ooJ lrw aKtiJv KQIU tiJv 01pound19uvOIV 00 clvt )tou KU TOU p(WOIl mu rioaTC)( )Ie TTjV ~1faH)HlQ (in oiulH1 ltOtF Kal UV El vClI il fVLQut tOCo ltvEIIOIl TO Ulto)oy crOCVTU ~uyl(rtQ t1) ncp(Miou KUt TOll 1111middot KOU 00 KUIJUtolt Stv 6UvavUL VU e[vut Jl tya)UTepu

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445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

n APATHPHtlr

T Ii aV(IltEpfIJ ciTtotpound)tI~ltQ if~xaayen ~cioeurol

0259 31700 14865 09027 deg1 922 21 1 3 021

0259 335 100 18755 09539 09413 2233 0207 -shy02 (i 0 --

34970 3 14 2 09963 ogg 0 23 31 0120S

0262

wv

-shy35098 50000 09999 1000 23040 0210

t j Tt Illyen 1OU Tt l v a llO~ II

~24 MfTapo)~ Tl1 TQxVrlJrO~ I1HQOoOew rov roparo- C

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En[cr~~ dvat qgtClVpoundPOV on 6 KU)la JIeurotClOLOEtlll raxuupov npo~ ilv 6KtrlV 6rav lI 1tEPlOo6C wo a~civeurol

42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

H JlEyicHT] 6PlCOvtia raXlHT]~ toO )lopiou ElvClI eurov tOlClUt(1 ftEpl1nrocrEl

21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

Ei~ rrv eAEoSspav tnupciyenElav tt1~ SUA6crcr~~ lI ~euroyicrtT] tQshyx6t l1~ unoAoyiltpoundtal SEtOva~ z = 0

ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

P

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0

maxu 1 shyr slnltll1d 2Cd coshmd

Me anow 6v limov rnaxuo Kat t6v Tonov tfl~ nupaYP 421 lill) tiv ~lEtaaO)Tjv TOC ihvouC toi) KUllOTOC cruvaptnarl tOO Plti90uC d TOO 7tU()I1VOC cruVfTU(11 nTItEUTalo m(lAIl t(i)v mshy

voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

BE TUP I nt ~lIIuT bullbull TOT

4 In [NOI

L Vb wbull r _ It

bull I 1 L

m 411

j ~v

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bull ~ ~f- I

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Jt ot- t t

bull -It ~ ~ ~ middot o_

t bull

-~ 4 middot 1

bull bullbullbull1bullbullbullbull __ ( M)

EK mutwv an06ElCvUetm 61 1 IJEyicrtn 6pl~ovlla taXUTIlC tampv ~topiwv al)~UVln 600v T6 anSoe jlCIOOlat ev0 8ul t6 ailtD fj66oc 1tUa~ltvoC 11 tQXlYrT)C au~6vEL hav nlupioi5oC T eniaqc (n)~uvEI En[allC [KllaTov llOPlOV OLaypaqlEl 11V t)AEL1tlLKrV tpoxIOV TOu ICQtU lOioihov tponov Kai Ill OLQUtnV taXlyrTlra wale TO JltYlcrtOV autilc vo (f)~u(bttQ onueUlt Koi XpoVU(U navo 1 lIt tftv aut6xpovov tnhEU~IV tfc pE(icn-11C f T1t~ UashyziotTle (I(Opuq))l f no~) ~etalkgt11llt tOO (hvoue toO KUJiUtOe EK tOlmlt) auvaYEtat o n it taXlrrfl C )1ftQOOOC(J) toO KU~Clt~ fivat 1tfNH)tf ~Eyaludpo fjc ~E)lcrtTI~ Jj0plaKfjc tOtautl1e ~~ UAWltJtr rci(poundtClI Kal SK oCi avwttpro UrtOU maXI) Ka9 OOOV nQvtOtE E1vOl LJ gt 1t I1J

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Ev tOlJt(H it 9Eropia CtOtTl crtl1PlioJlpoundvl EL- tlV nEplOrpocpilv tWV JlOp(rov ~nl K410tampv tpoXltllV irvtnf9ttul ete 6v tp6n-ov oxlH1atlo~oO tlllv KU CltOOV OOtlC aJtQIlEl Ini npoundpOtporpIKO~ tPOXdlC Ol1AooTi QVOlKlOe

bull a t 11

UH TOT MKO H ~~ 00 Tol 05TIIIU

( f[1 THI nC~ loo T OH 4

TOT nHor

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h ~m fshy1 ~

J shyI VL

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bullbullbull ( __ I ()

nolAai tpyaOtTlPLuKai Kai nClpa)lUllKat ~v til 41)0061 tpyacrlaL roe Kal avaluflmi )lrAitIll b(TlYOOV Etlt t6 OUJlJttpao)lO 6n fl JlTi nEplOtpoqHKtl 9EWpio wO Stokes noplotQ to qruona CPOIshyVOJlEVa JttPlOO()tfpov mot(l uno olavofrtotE uAll1VotUV to UVOC tOO KUjJOtOC Elval )l1Kp6v tv oUYKploEI 1tp6 t6 JlfjKO toCi Ku~aOe Kut toO ~c100lJ tOU uoatcl npdYlJu lineD au)l~aivm d~ t au wKeavolx Kal on to 1tpoqgt1 tou tupatoc 1t1lOlalm mploooCpov 1tpo ttlv KUKAOflotl ICOlJnUlllV

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nElpUUttKat poundPEUVCH tlJttampel~(lV 6n tl npOc el npooro tQxumiddot tl~ tUgtV opiwv poundIe tTlV KOPUCPTlV dVCll lcYQuttpo tfjc OtoUshyTl~ np6e ta 01tLOro d~ tov 1t60a OnEp Olwt On Itp6C to rtp60w )([1101 oev iooppcnEttal lm6 tfje otaimv npClo ta OIt(Ow npOKu1mn (S(fV 6 aUJlJttpaolJa 6n tKlCU i tpoIashyK witoero npEJtr-L va i)1tUJlXll J-lla OIA11 ICoa nlv OIEU8uvmiddot OlV Ol a6Oofml toO I(()~aoc npOOOEUlIKTl lCivIlOl iiT1~ OTUlQishyVEl 61 tQ 6PlO KIVOOVtUl sni tVOIK1COV tPCXu)v

H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

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-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

Ev(i) )olnov to rrEIj)C~(nCl tllcpnv~ onooEIKvOOO V t6 ao~rrE paolla litt Jlr rrEplOtpOCPIKTt 6EWp(a oVHttpooronEoEI nEptomiddot OOtepov tilv npaYllatlKflv 016000lv toO KOIlUtOe KOt tvtp POIOf IOilc 6troplo otv n)T)pOl OUtt toix opo~ oovE1euro ioe t oO Kil~otolt OUtE tilv OOVOIl IKTtV loopponlov KUl we tic 100tOO otv El vO LtVtEAale Q)T)6~e tv TOUT01( 010 1tpOKttKO~ oKonoUc tqKlP~~EtO I 6wpla toO lPOXOEIOOOlt KU~OtOe ltigtlt 6rrAooOtpoundmiddot Pw Etc t 6l tcpap~oy6e npoc EvT1I1Epwaiv ovatpepollEv lin at lCUPIOtEPOL ecwp[al YEvpoundaEltOlt toO Ku~al0e Kat ~opltp~e toO Ku~roe t~poundTtol10av QvaAOtlKtllC ono trov Vliegel Kat J ohnso n ampI~ TrV I I1V ttl10tav OJVtAEOOlV MrlIaVlKrov oui trv OLYYKP6middot tT]OV tampv OKtltlW Ele to Long Beach ttil KOAlCPopvtae to 1950

6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

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pLH E = ~-shyp 16

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IE = _ pLH 2 8

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H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

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OtOV 10 13600e toO 1tu8Iltvo ~E IOOtU1 KQVOvlKGle t6tE Tl i)ltl shyOoOLe toO 1CUIlO-t oe Mv E[VQl napaAAT]AOe np6e 101 tnlTtEOOV n08~tvQ Kat to KOIlO 1tpOorr[1tTEl trtt t00too Ilamp yrovlav npoOshy1ttWOEUgtc lt 900 t~tpavUolltvOl t 61E 100 cpclIv61lEVOU TnC avoshyd6atwc we efe TO a1fJllo 17

rampVIICamp~ oEx6J1t6a 6n bEv on(lPlEt aVCKAUOle tnt h6lt 6aAaashyaioo poundpYOO nopo 0101 il KOp tOTI1e toO npOO1tirrTovrOt KOIlUTOlt dVOL

8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

AUol tpEuvr]tai rrapaot1oVta l Otl Ola VCl urrOPXl] 6A1Kr ClVQKAClOle 11 Kup t6TT)e TOO KOIlQtO~ cle 16 oVOIKtOV nAaYOe nptrrpound1 yO dvut

S lt 0196 tg ltp

~TOt lt 020 Ott JtPovtc J 1 009 32 005 2 1 0015 5 2

bull

EX 17 E)EvIHea impclletO TOV Clapotis b i1J~J~vrtU rrvlJpbor -Ot 7lQoqiJ 8eoVOlfEVOl) xvuaTo~

middotlouMo~ 1970

0 cngtltpounduaT11t olcl)cuaecut II Srn lIPOli ia loopi uvrollOshyAta xat xtllpt 8puu(JCI tool KUIli-tWI oui OUvn9tr rrepu)5ow 00 KU~tato 6ioetUl ito tou lILVOKO J8

nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

006 003 I

004 002

0Q3 002

001 002

T6 oHiypa~lla 19 oiSpound~ t6v auvtlAtcrtnv QValC Aaalwc 11 cngtvapshyti)acL tfic ICUpt6tltolt 0 Kal TfjC KAicnoo toO tTrtrrtioou ava KMlatWC OLa ~u90 000-10lt anEtpou

73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

~OTDv 6 OUVTEAEaTl)C ava(lacrewlt tOO (u~aToc 11 elvar laolt ptnll plnou 00 Ilt TTlV 1l0VOOCl (11 gt 080) T6Te hOIlEV 6lIK1)V aVUKAClOlV TOO OlJatOC iinc 6vo~ampETal Kal Clapotis

T6 luptaa6tEpOl S(plKt6v h TOO 0ftoAoYlolloO ClapoLis dvat t6 KUAWSPLK6v Clapolis tnt arreipou fl arogepoO ~a80o 16 civantUaa61ltvov i)l1tP008EV KOtOKOPUqlOU IlITronou KCl9tTou rrp6c Ti)V iSu)uBuvOl V TOO KUJlaTOlt Elc r)v rrEpbnwor v taUtl1V hOllcv aKPI(ilU Tl = 1

T6 ftp6~ATllla TOO ClaJloti~ SUVOTOI va t~poundTocr9fl Kata nOAshyAO)lt tponou cillt nx cngt)1~ATt tv6c npoanhrtOVTOC Kat ~v6 UVaICAro~IvOu KYIJOfOlt (iu ouo yenWOOIlPIJOVIt(i)v DUo (J)v9t middot TWV KUIJIlTCUV tawv aUit uVTI6imov tUXOTitwv KAIt ~OAal

1t6VTW at u~101oyOI )00pound1 1tapa tCtc otalpopru [(uv1tapoushyOLWOUV ICUtO t6v Lanas TO t~l~~ 1(0lVa O11lJeta

a) R tuu9tpa hlqlaVEla OxnlJOTI~EI )dav alC01ou9iav atashyoilJwv ICU)JOUUV (ouxl un6 tTlV YlWOTT)v hVOIOl t 6)v cttaalJlwv ICUlJUTUlV ta 6noia houv Tp01lalCtiv Kivllalvol6tt eurovtaOOa oiv cngt)IpaiVEl TOOTO) (htEplopicttoo uvanapaYOIJEVWV Koi lrePlOS1KlOv EVT6lt tOu lWPOU Kal TO) XP6voo

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y) H ftepioooc ElVa

middot1

~

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r~

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f II y I

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0 0 0 0 0 0 ~ ~

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

VEv9u X TI art6ataou Q1I6 t6 lCotalCoputllOV blneoov KOI Z 16 00lt dvw9EV foO 6 PltOVTiou nu9lJevolt

E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

TEAeUTOioo taut I ~OJlpoundVOU )If TO ICOtOI(OPOqlOV p~twnov avamiddot ltaCJEWlt (IS ox~a 20)

Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

V gtltgll

4Ttd Ld si nh -r

n) H ni rm TOO uoaTO IlETCllaAAETDI 1tpoundPIOSIK6X Xa-yo IlliKOC TOO A1tLnU50u avoKAOaECUC

T6 ~eyuJtov -Yilt n lpoundaECUlt ~EtUPaUE-yQ1 y palJ~IKWC Ouvapshyi)cru TOU 6690u ano IJTloev IltXPl TOU IJE icrtou

d + __H_~j_ ]

[ Colth L

d T6v n6l50 toO )lETWnOU t6 M ~MiXI cnov tnicrl~ ypalJllllCmC )lETa TaD la80u~ 0110 1lT)8~v pL1P l tou min

I d - H Ji t6v n60u I Cosh -

nd shy

L I

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

H rraraTTlPleJl OflKvUCI on t6 rluv6ctov l(UpU dVOI d i)TlshyAilTEPOV ~1ttnESov uno ro ltJUV110rC Iwi tni tijlt t-aTuKopu(pOIl na(lpoundlu t6 Oomp avuyenoulol 1laquo(11 nirrtft Kutil ~1[Cll olaSpojII)V

--

449 lou~Lo~ 1970

bull ~ ~

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I

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~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

Otav t o P690c toO Ttu9)Jeurovoe llpoundlOOtat 6l1aAWc t ottiu~ tlj~ lPlPflc tlti)v Ilopioov TOO u5atoe t n a(noO 6 )JE)QAO~ aii~wv tOOv EAAemtlKrov 1l0PlUKOOV TPOXIG)V QnoKl(i Iliav KAlal V w~ np6lt to opl~6vnov EniTtE50v iine ouvEXroe atiovEI oaov t o Oa90~ EAAUTTOOtOl (10E LX 22)

~Otav Cl($I hEPOU [6 KU~lU 6tv Ouvavt~ altOtO~a 8Illt66IU 6lashyOlOEtOI tQXEWC npoc tliv oKtn V fl 6E ~EtOqleuroPOlleuroVll tVEPYElU Ol)VEXGlc lIELaOiOErOl Eic olu60XLK6)c lIlKpOtEpac )1oue Moshyto~ LUVETtEiQ tOUtOU o[ lIOOI aOtal onOKtOoV ~iuv auvEXOOc npo~ t~ v OKtliv a~OVOllEVI1V OPIlltLKOtlltU H OPlll1 ll KOtTle aOtl tAUnou tal )EVlKffic Kal tvOteuro tEouOEtEpoOTal tEAEiWC A6yU) KClTa(JTpoltPfie tfle IlEta(j)Epo)JpoundVTle ~vEpYeiae uno tOOv TPIPGgtVdlt tov rru9)lEVU Kai tfllt uvarapaxiJlt fOUTOU EE UAAOO fl ~E taaOOIC unO TO) KU~QtOC tf)lt a utljlt lt0061ltO~ Evep)E iaC altO QItElPOV 690e etc ltEltEPOOllt VQV ltpOe [~V 6nllv 1 UAAooC altO ~EfU)~UtEpOC UOOTivQ~ 1l6~ a~ Ele lIIKpO[EpOe tEOVOYK6~euroi TO lIOPIO va olOypa(fJOUV EVtOC tti c a0t~c ltEPI600U ~EYOAU[euro-

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Q bed c

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

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P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

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gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

H )EVlKfll kilcle tf t tlla(ha~ (aiYrl)( dvat ciSOVUtOtOEOOshyIJtvou jJllAlOlQ otl

Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

IInO mO=Lj

Euv O~ICO oex9G)IlEv 6tL t o 6ct80 9pauC1EOOe de dval JllKPOV (1tpu)Jlu nov Uv C1UjJaCllvEl nuvtotc) t6te SuvaHOtt va 96shyC1WjJev lCatu npoot)) LClV tghme do - rna do 6n al avwteuropw t SlC1o)aEle yivoVtaL

1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

18 I~)

060 H

bull18

1 ~ do - T Ho

do 030

R ~8 Iy)L 225 5

ltr- --shyya-

H 060 -H - - -shy

18

eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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451 louALOC 1970 Tcxvuco XpOVlllCo

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KAiOlV aKtiJe 19q1 t6Oov JIpoundY0AUTpoundpOe OOOV rl K)ptotT)e 0 tOU KUJlOTOe poundte t6 nSAayoe EIvOi IJEYOAT) fitO 010

~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

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lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

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2 T6 ft)polt H ElvOt TOOOV neplooonpDv ~EY6AO 60011 T6 poundupolt H ff~ to ntAoYolt Elvol IJEYOAo a l Aa K010ltiV uno)oy~

A II e 600--- OJloO I aXtalC H EUPE 11 tOll np lt J 0 ) Kal t6 poundupo~ He 90 lJpoundt0i30AEt0l TOTE onooc 1~ tllJTJ LT

Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

-bull 0 bull _ un

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to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

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a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

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pC p ~ -

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

O At lletapoAal tfl~ rtUOEroe E(~ 11lv OKPl~ij geltJlY UTCO)O)Imiddot cr)loCi xma llv ltlIOOlV cpoptlOC(IJlt (UUIIITgC) Mv ~Eapl1lvtal rtOAu eK 011 OTllJeLoo evOn 0 KUlJa rtaAAnal Kal a1aOtpeuroshyltpenn i)JtOAo)~poundl se Tit IlliAAOV ~vo u4lflAhv lJt lo ov 1illaquo1tIIshyoewe Ku9L1COlt euroTC 100 OflJ1dou hSa to KOlJa QPX~Et vo KOlAit~ ~ l) oKo)ou90ulJtv lC tE QAAOU tflc KOTOOtPOcpfjlt nepUJ06 EpOV JlOKpUU

AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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2ru LR= He

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

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fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

~ ME)UA(U mcoEI uvonTUOOOVlOI Jl6vov scp ooov f0 nuxoe foO SuloKoc Otpolt Elval lE)OAUnpOV ToO~IlIOpoundOC TOI ihoue TOU H anOfOIlOC aihn nhOte poundtVOl avO)o)olt 100 tEtpoYOOVQU tfle tOXUtnfOC foO KUllatOe Kat avnOTp6cpo~ ovalo)oe tol) nal-0ue roO O-rpOOIlOtOe 101) Qipoe

) At aKOUOfllCOi nliOel C ennpE6~OVtOI EcuPEflKa ano n)v tniopoOlv 111 oultapoxfle ToD GOUfOe tOOv npOTl)oullsvrov KUIlUtrov tnt frov UVOlIlUllG)v TOO IlETcUnou

o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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(pd + pol (ho - HI II ho + d

11 bt UItEPUro(JIe KOfQ Tflv OlatUpax1lv TOO t1tlntoou flPEl-dae Tfi C SaJcioone npo toD KOTQKOPlxpOU JJoamptomoo e[VQl

nHt 21td ho= - L- ctgh --c-

To Oeurola tie pall~t1c nOv moewv TOO -U~UTOC Clapnlis tni KOmKOplxpOU IlEToonou TjpEuvi]6n KOt uno 1tO)AOUlt 6Alouc tpwVllf(l KaS oOov 1) olJvajlllol KpOOOle fampv KUJ1UltllV We t1011 poundl-ojlev avaCPeuroPEl cic TO npOn)OU~EVU KEcpUA01a tSn~Oup~ )l1OpoundV QPKtra CTTl~aVTIKa npo~lfll(HU fa 6noia 0Ie1T1CTtOO9Tl ouv t600v ete tnV IpUOIV (SOov KOt tnl ~OVttU(rJv

Ta npoj31illlafa mOta t)evvi]S10UV t~ uitiw TTj lt 6j3f~ut6middot f1to foO noOo(JtoO SpaiJnrfJ)lt tGlv KUjJatrov KUfU Tflv 1TpOOmiddot nTlOOW KOQffiC Kut flte alCP1~0)ioC tOU e180ue TOO 6VUI(MoIlCmiddot OU Kil~lltoe

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E tUAOU fI )Pa~lfl nu~aEOX cptpefQl oli)ov olacpoPETIK~ tmiddot Ke(VTle 6AroV europeuvTampv

middot0 ItaA6e KaeTl )TlT~e Gagli T6 19)4 de Chf1ova Kuiap)OtEPOy ev auvtpyaoiQ lS tOV Ko8TlY11tflv fHuckj t~EA Et1CTavt6crov Ete ti)v CPUOlV oui jJ8TP10(I)V ooov Kal dO TO tpyaotliPlOV niv Spuaav TampV KUlJtlTW tnt KUtnKOPUCPOU Iftwnou TO OUjlntshypoOjlUtU exouv ltblt QKOAOu8roe

u H 6PI~ovtiu nieuroole (on il lrnEppallouoa OUIKTl f) QlVl1nmiddot Ki) ltitOu OUJlltPWVWe np6 Ti)V o vaiv T1C fl onolu SUVOtOv va rIVnl thE np6e tov )I ~ivo EhE npoo T6 1ttAorOt) tlaoKou~ )JeuroTl U1TO 1TU)l tKO D c0IlCLtOlt )EV11Clraquoe cpSUVEI lJiav StllV ~Eshy)ioTllV tlpfiV 6A()OV KcJTwetV tie crra9~n 1fe tlpt~ouOn~ tHLcpavElae oVO tt~ SetAUOoTlemiddot

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455 10()10lt 1970

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O H ~euroyiCJtll EleurotlKn nleurom~ Pi EAattoOtal npo~ paElo~ tOCJOV

nSPlCJCJOteuroPOV apa6E(r)~ oCJOV to CJXeurot1KOV paElo~ ~ jleuroiOOtai

H nleuroCJl~ autll d~ tOV nooa toO jleurotamou Aajlp6veuro1 tnV jllKpOmiddot tpoundpav t1~1v PI tltl~ amptv euroIVa nOtamp ~upoteuropa toO ]2 tfl~ jleuro yiCJtll~ eurot~ tnV poundm~6veurolav npeurojllw

6ui ppaxea KUjlata ltoL lCujlata jllKPOO jltiKOU~ at mtCJeuroI~ dVaL YI3VLKroe jleuroyaAlmpa

E Ta naAjlLKa ElUeuroAA6gtoll Ku~ata (tv aVtIElpoundCJeuro1 npOC tae ICpamiddot touCJW 6nOWeurole roptCJjlEV(r)V poundPeurouVT]tCUv) OEV jlEtatpeuronovtal navton CJpound CJtatlKa pounds ahiae toO Clapotis aAAa olatl]poOv tel PaCJlKa xapaKtllPICJtlKa tCUV tPOXOeurolOroV KUjlat(r)v jle tpomiddot xlaKnV tiv Kal 1POnOnOlll)lpoundv11v Kiv11mv Kal on 1aOta Esamiddot CJKOOV nLeCJeuroLC jleuroyaAUtEpae EKeuroiv(r)v tae o1to[ae npoKaAoOv 10 CJ1aaljla KUjlata 1a nPOeuroPX0jleurova pounds autoO toO to[ou tpomiddot XOeuroIOOOlt KUjlatoe

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~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 9: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

middotIOU)lO~ 1970 443

niNA 12

METABOAAI TnN ETOIXEION La Ha C TOY KYMATOE GERSTNER KAI TOY TONet 0 MOPlnN THI (AEyeEPAI Enl~ANEIAI THI eA AIIHI IrNAP1HrEI roy c1 AlA n[shy

I I

P1060YI T=7 K AI 8 cs

T 7 sec Tll d Ld md thmmiddotd HdH Cd UoH Ld md t hma HdH Cd UOH

2 301 b 011171 03917 157 43 deg

J 3640 05178 04760 1075 520

4140 06072 05421 1015 592

5 4560 06890 o 5973 0 980 651

6 4920 07662 06447 0957 703

7 5210 08393 06851 0(94 I 748

8 5500 09136 07228 0928 7B6

9 5760 0 9919 07539 0922 823

10 5970 10520 07826 O~_ 6_ 853

II 6170 11198 0B075 091Ji 981

12 6340 11892 0 B303 09 13 906

I J 6500 12571 08502 0 914 928

6640 1) 24 4 08679 0915 f- -948

15 6760 13935 08839 091 S 966

18 7050 16038 09269 0931 I C07- 20 7190 1 1 7~BO deg19 4 09 09J_ 1027

~-- 2 5 720 2 1 175 0 9714 0957 106 deg JO 7540 2 i990 09966 0978 1077

0 762 0 32960 09973 0993 10 8B

50 7640 411 00 09995 0999 10 91

6080 764 50000 09999 ID deg0 109 2

75

7950

nAPAT HPHIII

1320 3170 03622 03 ~ 71 1217 ~ 33 1390

1014 1200 04~ Be 04 2 09 1125 525 1 061

O8til 4790 05248 O41H4 ID 63 599 0870

0738 5310 05915 05310 1024 664 0 756

0668 574 deg 06570 DS 763 0992 717 0679

0617 61110 0 17161 06145 0972 768 0621

a ~79 6370 07888 06577 0952 796 0581

01550 690 0 0 b316 oa 813 0943 950 054lt_

0527 7090 08860 0 70 9ii 0933 886 0516 shy0509 734 deg 09416 07360 0926 917 049~_

Oii 95 7580 09948 07591 0921 947 0177shydeg14 e J 7790 IOii 7B 07810 0916 974 0461 04 7) 8000 1 09 90 0 BODS 0915 1000 044~

0466 8170 11535 08189 091 J 1021 049

0 45 J 8630 1 3 104 08644 (1915 079 O4 l~_

04 46 ~_80 4140 00893 deg1~8 1 0 0406--0 I 4 3 9320 6850 deg1 9333 09JJ 116 ~_ ~39~ 01 4 5 9600 19620 09 S 11 0949 1200 t38S

- shy0-448 9860 25480 0 1 9878 0976 1232 0389

0449

0449

9950 31550 deg1 9964 0991 12 0191

9980 47175 0 1 9998 IPOQ 12 L 4 7 0 393

9981 50000 09999 10)0 1248 0 393

p60ouo T middot- 5 6 7 8 9 10 12 Koi 15 sec

EK trov TlVaKOOV toutW V cpoiVETol on t o Owo toO KU~llfO~ )leuroIOOta l KaT 6plci~ EVIKro 01 OAfU tciC rrEpl60olX KateuropshyXEtlll d o Jl lav Katwtllt Tl v Tl~i) v iOTlv rrpao 091 J H (~Eiw(J1C oTlA l(aTQ 870) Kat poundIm apXEtm a1Xav6J1EVOV 1pOavo v tiJv 0PXLshyK1)v tllliJv 00 H I)v 61to(av UItep3a[VEl ty OUVEXELQ cui )llKp6shy epa 30911 tlJl OOOv 1pUcrlKo Otv brtA9T) 9palxn au tOO ITpoYlJl1tl 6 llapovo)laoTilt tflo QVOO OXtOEOO

= Lghmd + md (I - Lghmd)

dw ll - md tghmd) - - 0

d (md) coi hmd

n ilTO~ fila mdtghllld = I f) d(md)~ lt 0

-nOtE 01(1 md1ghmd 1 0 00 yiveat JlhIOtOt = md

Kat OUVErrwo il (Hd)Il y iVEtal poundAadcrtTl AOJ1pavouaa

Hn )1IIlJrI ( H = md = Ighmd

ltH 60l~ 6)lW t) tiIOWOEWlt mdlglmd - 1 SiOEI tghmd = 083365 Klli mel = 120 OrE minH1 = 09 13 II frn o VflOfOl lCf elo i~u9oC lluOJt voo

120 L 120 L d 9 L d = - - - 1 = -- Lghm = 01521t l1t

T 6 on)lEiov EiC to 6notov t6 Hd yivEat miAI V Tooy IJt to H oiopound tl1l tK tfllt AUOiUl~ nic liyoo tlI06xrECU~ olli I-td = H iitO l tK TflC tlIOWOECUt mdlgh rnd - tgh md + r - md = deg Dlo )lIKpa 3ci911 d OOVoi)lE9a va 9toffiJLEV tghmd = rnd lCol 1) poundlioOOOlt YVElat (md)J - 2md + J 0 houoa pei~ Avaett

(F - I (-1 mdl = -~ md 2 =- 2 mda=I

Ai 000 teuroA cu roiw AOOpoundIC OEV AoJLP6VOVWl un OW lV 0160 11 OEUT epo poundIval apvlllKti ~ ot tPlTl 6vn01OlxEl alii 36900 tghmd = md = I iitOt d = L (OUy9f)ICUl QtElpou p690uo)

EoEY 6gev md = 15 - 1 Koi d = (5-- I I Kat ~ t d

d = 0098 1 I I= 010 L d

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

42 2 lJfsra fioJ TOU fI~kOIl TOV ~ua1O t L

To ~L11KO C 00 KUJjUtOc )IflOllLCU l1rni l oi) Oci90ul d wil 1(u91lEmiddot vo 0[(1 0ta9cpav 7[Ipil)D ov fV() uuovu 1IIni Tij 1tep6Sou bui 0 auo paGo ct nvO~IIV()

Ot nivuKllC II 12 13 14 Kal TO b16YPUPI1Q 15 Sellcvuouv TOI Iurrapo)(u ra(ITaI

423 Jhraf3o)~ n ii JtQIOOOV rm) kuuaro~ T

H napioSo to) KU)tafOC Elval 6noTpoundArOjlcr 0) tpualKZlv yeshyVCOtOUpyG)V alt(wv ltapay() fjC 1ll1v KllllOI)) 16 JltyIO-cOV 11 6ltoiu~ t~ap6ml alto t) )IfiICO 6vanuY)lumr 111 9alaacria iIr KUVllC hi Ti) ~)Jtoiac 6 (1VIIlO Flnopfi twi ~1( t11r axUHjLOc Kal 8wPlCdac 100 OVf~IOU Dl(1 1TaplwpIO)Itva AEKavar 10 JI YlcrtOV iilvo trtllPtO~poundtal ~L(XPl CVO OfltJeioll avaapTljlwr TI)~ tUXUHITOt Kttl 6 tapKeiw wD ciVpound ~lOl)

ToOo crTJjIaVEl on (gtIn JtampPUOPIltTIUVllV OuAuuuiav 1TFPIOX1)V 1TampPld II OjlCVllV U1TO 111P~ TO ~l t) IOLOV tile nrrllotiou 6llVom VO 61t) 01 tol)~ yWt)a~c OV01lt lf)C altoauat ooJ lrw aKtiJv KQIU tiJv 01pound19uvOIV 00 clvt )tou KU TOU p(WOIl mu rioaTC)( )Ie TTjV ~1faH)HlQ (in oiulH1 ltOtF Kal UV El vClI il fVLQut tOCo ltvEIIOIl TO Ulto)oy crOCVTU ~uyl(rtQ t1) ncp(Miou KUt TOll 1111middot KOU 00 KUIJUtolt Stv 6UvavUL VU e[vut Jl tya)UTepu

A[ auvilefl~ 1tepiObOL E-ir t1)v MSOOYELOV dvat 4 - 10 Ii C TInvtw to JIilKOC tOe Kll)laroc dVOllwECtPtTlTOv toO UlVou aumiddot tJ oe JLcylotl1 13 SeC cvlt) dr lOtl Glnovoi)( qgt9avtt 0 1-11 TOe Ylatov 20 Bee

445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

n APATHPHtlr

T Ii aV(IltEpfIJ ciTtotpound)tI~ltQ if~xaayen ~cioeurol

0259 31700 14865 09027 deg1 922 21 1 3 021

0259 335 100 18755 09539 09413 2233 0207 -shy02 (i 0 --

34970 3 14 2 09963 ogg 0 23 31 0120S

0262

wv

-shy35098 50000 09999 1000 23040 0210

t j Tt Illyen 1OU Tt l v a llO~ II

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En[cr~~ dvat qgtClVpoundPOV on 6 KU)la JIeurotClOLOEtlll raxuupov npo~ ilv 6KtrlV 6rav lI 1tEPlOo6C wo a~civeurol

42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

Ei~ rrv eAEoSspav tnupciyenElav tt1~ SUA6crcr~~ lI ~euroyicrtT] tQshyx6t l1~ unoAoyiltpoundtal SEtOva~ z = 0

ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

P

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0

maxu 1 shyr slnltll1d 2Cd coshmd

Me anow 6v limov rnaxuo Kat t6v Tonov tfl~ nupaYP 421 lill) tiv ~lEtaaO)Tjv TOC ihvouC toi) KUllOTOC cruvaptnarl tOO Plti90uC d TOO 7tU()I1VOC cruVfTU(11 nTItEUTalo m(lAIl t(i)v mshy

voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

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4 In [NOI

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m 411

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Ev tOlJt(H it 9Eropia CtOtTl crtl1PlioJlpoundvl EL- tlV nEplOrpocpilv tWV JlOp(rov ~nl K410tampv tpoXltllV irvtnf9ttul ete 6v tp6n-ov oxlH1atlo~oO tlllv KU CltOOV OOtlC aJtQIlEl Ini npoundpOtporpIKO~ tPOXdlC Ol1AooTi QVOlKlOe

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h ~m fshy1 ~

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bullbullbull ( __ I ()

nolAai tpyaOtTlPLuKai Kai nClpa)lUllKat ~v til 41)0061 tpyacrlaL roe Kal avaluflmi )lrAitIll b(TlYOOV Etlt t6 OUJlJttpao)lO 6n fl JlTi nEplOtpoqHKtl 9EWpio wO Stokes noplotQ to qruona CPOIshyVOJlEVa JttPlOO()tfpov mot(l uno olavofrtotE uAll1VotUV to UVOC tOO KUjJOtOC Elval )l1Kp6v tv oUYKploEI 1tp6 t6 JlfjKO toCi Ku~aOe Kut toO ~c100lJ tOU uoatcl npdYlJu lineD au)l~aivm d~ t au wKeavolx Kal on to 1tpoqgt1 tou tupatoc 1t1lOlalm mploooCpov 1tpo ttlv KUKAOflotl ICOlJnUlllV

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

To ~olv6pEVOV toCio urtEodX911 tK 1tpoundlpa~uTrov bH~ax9Evt())V ele to navpoundnlmtJIlOV tfjc Kulllpopvioe BCrkcley O1)~ICPWshyvro ttpOC tit 6ttoio ~IU va imapto IC(JlJa 1tE1tCpaojJlvou i)Voue EfvOl a1tupaitlltOV d1twe l)1tap~Q UOttj Ii 1tp609ttoe toxine

EntollC t6 qgtolv6JtEVOV 00tO euroXCl trupEaOlro9f1 ano1tapaTlshyPtlOft~ yevo)ltvac un6 to) (IIU)l~OIlAiou olaapdxJfwc UKtCAtVgtl Mikhim Kui Morison 1xEtlKWe Jtt6 qgtQtVO~vov toOto6 SLolus nap EttPlOpoundv (HI47) tln fie til 9QIfmOIa KU ato OlapshyKoOe Tunou J) lItVlcrl~ Mv 1110 KUO OloKAl1pinv rtOAlJIKn1tashypatI1P110fiarc Jlule yrVlKampC poflJllaiae )IfmPOAf1r Ifj~ 21t1shycpovEae KatU tTlV OICUQUVOIV OlaO()OE(IIe ElvCtI Bt YVtOO1i d~

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

P) H OOVQ lllKI) tvtpYEIO KOtoIl0Vaoo nAulo)( KOPUltPOYPUllllflc )1[oAoY~ttal tK tfle QVUlfooOEWe 1i rn-Wot ltolt toO U0010e tv crxtaEL rr p6lt t6 thtinEoov TipE~loe Koi htppo~E tal 010 tfte aUl fl e altaE~

pLH E = ~-shyp 16

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IE = _ pLH 2 8

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H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

EvOa E = ~ hpoundPtIO 10i) ICOJlUT~ de fUb j rl KOTa tTt V 01pound060101 1 t oO 1C0JlOtOe

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

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LlQ f) lt I hO~EV JlEPIKf) VDVoK)OClV cv41 Ot(lV T) = I Ex0IlEV 6)~Ki1Vshy

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rampVIICamp~ oEx6J1t6a 6n bEv on(lPlEt aVCKAUOle tnt h6lt 6aAaashyaioo poundpYOO nopo 0101 il KOp tOTI1e toO npOO1tirrTovrOt KOIlUTOlt dVOL

8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

AUol tpEuvr]tai rrapaot1oVta l Otl Ola VCl urrOPXl] 6A1Kr ClVQKAClOle 11 Kup t6TT)e TOO KOIlQtO~ cle 16 oVOIKtOV nAaYOe nptrrpound1 yO dvut

S lt 0196 tg ltp

~TOt lt 020 Ott JtPovtc J 1 009 32 005 2 1 0015 5 2

bull

EX 17 E)EvIHea impclletO TOV Clapotis b i1J~J~vrtU rrvlJpbor -Ot 7lQoqiJ 8eoVOlfEVOl) xvuaTo~

middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

006 003 I

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0Q3 002

001 002

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

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Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

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d + __H_~j_ ]

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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--

449 lou~Lo~ 1970

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~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

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ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

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lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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At OUVaf1ClI a lltOI elYIlI

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Lo -= H1187 d

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du HoIi ~ 001 IT 075 - 1- - = 150

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0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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451 louALOC 1970 Tcxvuco XpOVlllCo

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~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

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lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

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0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

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E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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IOUAIOC 1970

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2ru LR= He

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Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

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fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

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C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

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ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

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1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 10: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

444 louAlo~ 1970

n I N A - 13

METASOA AI TON [TOIXEION L d

Hd Cd TO T KTMAT 0 r GER STNER KAI TOY U TON 0

MOP ION THr EAE Y9EPA[ EnlOANE IA[ THr 6AA AI (HI [YNAPTH[EI TOY d 61A n E-

PIOAOyr T=9 KAIIO SQC

T=9 5 It C T=IO se c d Ld md thm d Hd H Cd U 0 H Ld md thm d Hd H Cd UoH

2 3910 03214 03108 f 29 0 Ii 1 4

3 4760 03960 03765 1162 529

4 5450 04612 014310 11lt4 606

5 604 0 05200 047 7 0 66 671

6 6560 05748 05189 03_2 723

7 6970 DS 307 051585 004 71

8 7440 06752 05884 0985 827

9 78 20 0 72 2 7 06186 0969 868

10 8170 07690 06463 0956 908

11 8490 0 8140 oe 7 18 0946 9 1

12 87 80 08592 06958 0937 975-13 90 50 09022 0717lt 0930 10 0 5

93 10 09450 07375 0926 1034

15 9550 09870 07561 0921 1061

18 10160 11124 08049 0 915 11 2 B

20 105 deg 11960 O~32 4 0913 88

25 11180 1oIi05O 08864 09 16 242

30 11680 16140 092 36 0928 12 9B

40 122 3 deg 20560 09 676 095lt1 13 59

50 124 70 25200 0 9 871 0 978 13 85

75 12620 37350 09999 0 997 1402

100 12630 49700 09999 1 000 03

10060 12635 5pOOO 09999 1000 1 lt104

12410

nA PAT H P H [ I [

Ta 01amp) cPU) altOuX tt DJlUTo ~~~x 01100 V PclDpound l

f 4 58 4370 0 2876 02799 1~ 1S tj J-7 15 2z

1 09 6 53 11 0 0 3549 03407 1236 5 13 1 11 Ii 1

0902 6 I 0 0 0 4120 03902 1 113 6 1 0 OB35

079 6770 0640 04333 1 J 1 67 0805

0700 7350 05130 04723 073 7 3 5 07 1t5

0636 788 a DS 5 79 05064 la U e8 aI 6i 9

O58ol 83 0 060 08 DS 37 6 ID I e 837 0596

0547 8820 01 6~ 0 8 0 565ri 1000 i B 2 0556

0516 9 230 06810 05924 09 BJ 923 0522

0492 961 a 0719 0 6165 0970 96 t a ~9S

0471 9960 07572 0639 0960_ 9 96 07)

aii 5~ 10l 0 0 07930 06601 0960 1030 a 52

0439 106 1deg 082 88 0~7 98 0942 1061 043

O4 ~8 10900 08640 06 983 0916 1090 04 2 1

0398 116 70 09S 84 07480 0922 1167 0l88

03 Bl 12110 03BO 07771 09 1 B 121 1 0312

0363 13 0 I 0 2075 08359 0913 13 a I 0 344

03amp 1 137 a 13740 O B79 6 0911 1371 0[31 8

0 3401i 1lt163 deg 7160 09372 0934 463 0313

0356 1513 deg 20750 0 9 8 88 0 95 5 1513 031 0

0349 15530 30300 09953 O98B 1553 031 2

0 ) ~o 15590 0300 0999 0996 559 0313

0349

15598 5pOOO 09999 ID 00 15 B 0 031

WV bull )ftWV tOO n(VQXO II

il bnaamp1i oui I1IKI)(1 pa9T) L tI - ji(TC li 6voo axtOI( iVeLCU

d = 005 L lt 006 L

H I1 Il (mrn oU iiVuv~ tOO KUllamc JIampxPl ti) O KOtCllLCtTllC llJl fl n paypnmltOIEhUI KUla TP0 1tOV 6~IU A(lmpov eiC 16 lmpul 1fGpI6S())~ ltttpu ale Ui )IqaAurEpa tvljl fl tv OuvaXEiq au t T)mc u ()roO ltpaYIlQToHOIcttaL K(lT(r tpbrrov 611UACIJlCpOV d ttl l1amp)aAUtEpal npoundPLOaOUe napa d 0 IllKpOTfpOI

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A[ auvilefl~ 1tepiObOL E-ir t1)v MSOOYELOV dvat 4 - 10 Ii C TInvtw to JIilKOC tOe Kll)laroc dVOllwECtPtTlTOv toO UlVou aumiddot tJ oe JLcylotl1 13 SeC cvlt) dr lOtl Glnovoi)( qgt9avtt 0 1-11 TOe Ylatov 20 Bee

445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

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42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

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21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

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6 Evtpyna TWY KUjlllTWV

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Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

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middotlouMo~ 1970

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l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

H rraraTTlPleJl OflKvUCI on t6 rluv6ctov l(UpU dVOI d i)TlshyAilTEPOV ~1ttnESov uno ro ltJUV110rC Iwi tni tijlt t-aTuKopu(pOIl na(lpoundlu t6 Oomp avuyenoulol 1laquo(11 nirrtft Kutil ~1[Cll olaSpojII)V

--

449 lou~Lo~ 1970

bull ~ ~

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Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

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ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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At OUVaf1ClI a lltOI elYIlI

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P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

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1

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BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

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du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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451 louALOC 1970 Tcxvuco XpOVlllCo

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

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z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

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IouAloft 1970

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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455 10()10lt 1970

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Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

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5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 11: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

445 -10U)IOC 1970

n I N A - MET ABOiAI TON rTOIXEION LctHdC d

TOT KTMATOr GERSTNER KAI TOT U TON 0

MOPION THr E~E TeEPAr EnltANEIAL THr 6AiAIIHI rTNAPTHrEI TOT d AlA nE-

PIOAOYI T~2 ~AI 1~ gee

T=12s ec T15sec d Ld d thmd Hd H Cd U 0 H Ld md lhmd Hd H Cd U~ 2 527 a 02384 02340 ~H Ai39 184 6600 01904 0 ue I 662 ~o

~ 5_ 3 6 deg deg2940 02859 1342 531 2) 2 8060 02)) 9 02297 as 537 I~ 59 _

bull 7370 034 I 0 03284 1258 6 1 Ai 1005 9270 02 711 02646 390 6 I 8 03- _

5 82 a 03826 03650 1198 68 ( 08~9 10330 03041 02951 1321 6B7 O9~ ~- -6 8910 04216 03983 I 1 52 715 0758 11290 03342 03223 269 752 08~

7 9610 0 576 04281 111 ao 1 06 B 12160 03617 03(67 1226 B11 o~

8 10210 O~922 0 4560 108 S51 0626 12960 03878 03695 1190 864 0676

9 10790 05240 04 B08 1064 899 a S80 13700 04127 03907 1162 93 062-10 11300 0 15560 05050 1049 9 42 0546 14400 04363 04106 3 6 960 058 0 - -shyII 11 BI 0 05852 0526 1027 984 0520 15060 04589 04292 11 ~ 10 0 ~ deg15~6-shy -shy12 12270 061 05472 0 T 0 102 2 0485 15680 0808 0469 096 1045 0514

13 12720 06421 056 6 3 100 a 1060 0463 16320 05005 04625 1061 la B a O47L- 131 I 0 06693 05 815 0988 10 95 0442 16830 05226 04797 064 1122 065_- - - 1--shy -shy -IS 135 30 06964 06021 og 78 1127 0426 17380 OS~22 04946 OS 1 1159 0445- -shy18 14590 07751 0699 0955 121 6 OlEIS 18820 06009 05377 0 8 1255 0398-20 15230 08250 08778 0943 1269 03amp 19740 06366 05626 100 I 1 3 6 0373

-shy -25 16519 deg 09467 07383 0925 3 82 032 B 21710 07235 06191 0969 Iii 4 7 032 B ----shy30 17690 10653 07881 0916 14741 0305 23400 OBO 5 5 06671 0947 1560 0298

0 12995 08617 0914 161 2 047 B ---I--shy

074~919340 26140 0961 0923 1714 ) 0260

50 2080 5335 090 0924 I ~~_ 5 2620 112 4 080 9 0914 1883 0238 -shy ~- -75 21810 21576 O9745 0961 1820

100 22320 28150 a9928 O9i ~ I B6 deg 1123 22 380 3152 B 09963 0990 ~ ~~~--shy175

1787 22 ~_~ 50000Ishy --shy -- 09999 OO_o_ --873

2793

n APATHPHtlr

T Ii aV(IltEpfIJ ciTtotpound)tI~ltQ if~xaayen ~cioeurol

0259 31700 14865 09027 deg1 922 21 1 3 021

0259 335 100 18755 09539 09413 2233 0207 -shy02 (i 0 --

34970 3 14 2 09963 ogg 0 23 31 0120S

0262

wv

-shy35098 50000 09999 1000 23040 0210

t j Tt Illyen 1OU Tt l v a llO~ II

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En[cr~~ dvat qgtClVpoundPOV on 6 KU)la JIeurotClOLOEtlll raxuupov npo~ ilv 6KtrlV 6rav lI 1tEPlOo6C wo a~civeurol

42 5 MHOJOJlj Tijl rOXVt1tO TWV uoeiwvVZ

nc 1011 (XE LAEXS~ uvwrtpCil 0 )l6pla OLayputpOov UAGI1ttIKaC tpOXUl Otav to PliSo tOU noS)lsvo~ tlVQt 1IE1tEpOcr)Jtvov 1) ot QXUTI1C tampv )lOpwv oev eTvol crtagep6 00lt crollPoivGI El~ tll v Tteurop[mwmv toO Q1tpoundipou poSour

H JlEyicHT] 6PlCOvtia raXlHT]~ toO )lopiou ElvClI eurov tOlClUt(1 ftEpl1nrocrEl

21I 1tH d (osh middot m rrt _ z) maxuz = T II z = - r- sinh md

Kat avnntlgtcrcruClI otav to JI0PlOV OlEPXEtOl nEp[noo tTI v 1(0middot pO(j)r v (6Ai)ov np6 at)lt~~) Kal t OV noon (oALYov npo ClbroC)

Elc n)v KOPOCPrV eXeuro1 (j)opa v 1tp6~ tn np ocroo euroV ElC tov n68a dval aniSEex npo~ tel 611 icrw

Ei~ rrv eAEoSspav tnupciyenElav tt1~ SUA6crcr~~ lI ~euroyicrtT] tQshyx6t l1~ unoAoyiltpoundtal SEtOva~ z = 0

ltH rj gHd maxuo = - r- olghm d - ~

louAlo~ 1970

2

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maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

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n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

BE TUP I nt ~lIIuT bullbull TOT

4 In [NOI

L Vb wbull r _ It

bull I 1 L

m 411

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bull a t 11

UH TOT MKO H ~~ 00 Tol 05TIIIU

( f[1 THI nC~ loo T OH 4

TOT nHor

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h ~m fshy1 ~

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bullbullbull ( __ I ()

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

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EntollC t6 qgtolv6JtEVOV 00tO euroXCl trupEaOlro9f1 ano1tapaTlshyPtlOft~ yevo)ltvac un6 to) (IIU)l~OIlAiou olaapdxJfwc UKtCAtVgtl Mikhim Kui Morison 1xEtlKWe Jtt6 qgtQtVO~vov toOto6 SLolus nap EttPlOpoundv (HI47) tln fie til 9QIfmOIa KU ato OlapshyKoOe Tunou J) lItVlcrl~ Mv 1110 KUO OloKAl1pinv rtOAlJIKn1tashypatI1P110fiarc Jlule yrVlKampC poflJllaiae )IfmPOAf1r Ifj~ 21t1shycpovEae KatU tTlV OICUQUVOIV OlaO()OE(IIe ElvCtI Bt YVtOO1i d~

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

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pLH E = ~-shyp 16

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IE = _ pLH 2 8

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

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8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

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S lt 0196 tg ltp

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bull

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middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

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095 0 88 080

090 075 046

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065 032 017

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5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

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middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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LX 20 J)EvOegar dxeo iUl t1ttrpriluQI Toii Clapo tis gttoi IWshyQ~wwl Tloxwi Ti]~ iurpavtla Joai TOU PciOOVi

~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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EX 2J fl(otpu xVpoco Clapotis

Q bed c

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

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gil v =C ~ ~~ C bull gH gLo

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Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

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1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

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BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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bullbull

451 louALOC 1970 Tcxvuco XpOVlllCo

[~V 9EooprrnKtlV 050 - 060 KOt EUPIOKETOI auvt9ffilt lJtyo~ AUtSPOtoo I tVOtE ot Kat 265

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OKStal otoOepa LOll npoe 128

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Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

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Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

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to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

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~UJlcproV6)t npOt tllv aPlllv ffie opacrtooc aVT iopaCJl t ~1tICPashyvampm igtqI1Gta~livfl~ ouvuxfj TtleOtV uno]~OYI~ampal lJE ov pu9)l6v tlouOcepW01~ TI~ KIVl1ltKfjC oVEPyetcu

-OmE av P Elval to lapo C )lovaOo~ OYKOJ oC iJSao~ Kal C i1 axiltllC olaOOOECO C ou Ku~aTO xrna 1~V cnYlJtV 1fI~ jJ ty[(rnl ~ tVTaOEOlC 0))011 (9paucrecolt) 6TE hl fflt 1l0v6oo~ euro1tupov doC tvEPIt nitOI iOTl npoe

pC p ~ -

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Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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0 Gaillard EO(JJltJpound KaOnlv P0TtOTtOli]OECOlt TOC nvoo 1lmOU

tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

bullAUot epwTltie il1tocrtTlpl~EI 61 ft ax1)fl1C C 5ui puS

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

-Av AcljJWlJpoundV un OjllV ooe fXEI flol) Civacppoundp9t) Qvwrpoolhl 6 Oil ill Hd OhEWI on Ii mlirrT) lt (Iv lJopiwv fflt KOPUcpfjC lQfi KUJlaoc )(a1li i]v OtIYJlIlV t11lt 8pouO(jJ~ elva I lJpoundfUAUttshypo l((tO 30deg6 rc mxiltllTO toC fUIJQfOC t 6e i1 crm9cpu I(

aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

fPUUlV Cfic crltpupuC (O itre) BEv Exou v uno)~O) l cr i~oUC Cl~Cu napa l(Qt E08Elav eto Co ait to crllllElov hBo t 6 lCO~a nuJEtOI lCui KU1OO1pEpEtOl A ( nIEcrEIC alllUl BlocpEpouv no)) ano KO~a at KO)lO Kal ana OIl)lEiOV do 011)lE(OV BI011 to Kfgt)lCt Stv lCatashyOtpECPE1OI nott Buo pop6lt KUtel OuvEXElav tnt toD OU t ~O 011shyIlEiou OUl ouvEx ii TtelA)lW01 V EniorjO a( TtleuroOEIC aotal poundtva )lEaAutEpO I Kul JlEta~aAAOVtal ano 2 EWlt 5 popao ( t o n180shyVcOt EPOV 4 f)op6lt) tWV mpoundcrEwv tWV tivoltrucrcwlltvOlv 1C00tO t nv pam V fPOptiO tOllt (Bou rrage)

H tl~r 4 lfIaivEt aL vel c(VtlOtOIXfI EtC t Tiv 6) IK V lCutaotposhyqnlv t flo nOOOtrj TOC tfllt IClvi]OEWlt TWV Ku~ciT Olv ICCnO t]v BpaDolv

y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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92 4poa~ t OOv KUI UHU V t Id Mw)() v ~ t KOtOKOPl)(JlOV ~Lt shyTWItOV

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

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VElOV otv trrl1PECt~El TTiV rri eOlv

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

To ETEPOV 0l1jJOvtIKOV cpalvO)lEVOV tf)e 6not6~ou nATl~WC tflo 6aAacroioc Oltpopoe ent TOU ~lpoundtW1tOU Ku~ato9pauoTou Elval 1tapOIlOloV jtpound t6 YVWOTO V EtC 1ilV UOPOU1LK1lV laquo)opaukllCov ItAtlY)lQ)) omv OTto t6j1oolt ICMLOooJlEV t itv Ol1(Apoundioa tvae 0)00shyyoO tvToe ra onuiou peel UOwp 0 lCa6rjYIlTTI1 Gibso n ontshyOE l~EV 6 11 l() oopauALlCov n1fly~ a ouvaTov va 6vanTU~lJ eowshyTfPIICUC n-ltOEle ~tXPl toO 15n Aaoiou TflC SmqlOVE10KftC 10 1shyaUTTle

EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

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aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 12: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

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2

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0

maxu 1 shyr slnltll1d 2Cd coshmd

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voxwv 11 12 13 14 8i15ouaa TTV axcow u() H old olcipopa llu911 ltU8J1ivoc Kal 5ut t~ auvr8poundlc nEp1650uc ampv lCu~ulnov T _ 5 6 7 8 91012 Kat 15 sec

o

yilt

poundvcU EiC 16v 7tUa~EVa UnOAoyi~poundTQl 8ElovTtu 7 = d

H gHo

n r bull (fUO~1II TH ~ r CIUOU ~~ Olot

BE TUP I nt ~lIIuT bullbull TOT

4 In [NOI

L Vb wbull r _ It

bull I 1 L

m 411

j ~v

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bull bullbullbull1bullbullbullbull __ ( M)

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5 METa+opa ~cilli

poundiBOpFv aVWEpm Ot it tpoxoclBI)~ 8Erop[U toil (1aillard tXEt pound)[I)upm911 CL1fO nOAAOu ~PIUVlt~ O[ (moloa nllptocx9 r]shyonv 6n 11 napHltojJtVl u1t6 t61V eilocOOfcov TI)C tpOX06l600~ tnupavua 00 KU)latOc JtAilOla~(1 OtEV(ilC tI]1tpaYJlattlon npo~ tpLA aw lCUJl6troV tooV ~EabI6oJl evrov cnl6pI~ovtiou nIl9J1tvoc

Ev tOlJt(H it 9Eropia CtOtTl crtl1PlioJlpoundvl EL- tlV nEplOrpocpilv tWV JlOp(rov ~nl K410tampv tpoXltllV irvtnf9ttul ete 6v tp6n-ov oxlH1atlo~oO tlllv KU CltOOV OOtlC aJtQIlEl Ini npoundpOtporpIKO~ tPOXdlC Ol1AooTi QVOlKlOe

bull a t 11

UH TOT MKO H ~~ 00 Tol 05TIIIU

( f[1 THI nC~ loo T OH 4

TOT nHor

I Vmiddot T= bull bull ~ -shy

h ~m fshy1 ~

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~

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t ~V V

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IL ~ -V

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bull bull bull bull bull bull 00 00

bullbullbull ( __ I ()

nolAai tpyaOtTlPLuKai Kai nClpa)lUllKat ~v til 41)0061 tpyacrlaL roe Kal avaluflmi )lrAitIll b(TlYOOV Etlt t6 OUJlJttpao)lO 6n fl JlTi nEplOtpoqHKtl 9EWpio wO Stokes noplotQ to qruona CPOIshyVOJlEVa JttPlOO()tfpov mot(l uno olavofrtotE uAll1VotUV to UVOC tOO KUjJOtOC Elval )l1Kp6v tv oUYKploEI 1tp6 t6 JlfjKO toCi Ku~aOe Kut toO ~c100lJ tOU uoatcl npdYlJu lineD au)l~aivm d~ t au wKeavolx Kal on to 1tpoqgt1 tou tupatoc 1t1lOlalm mploooCpov 1tpo ttlv KUKAOflotl ICOlJnUlllV

Enlar]C fK tfj tpoxorllion 9fwpiae tlcLYEtal WI thWtpOl 11shyVCtqllipEtal On Ii CtXUtl GJv Jl0pa)v de tTlV Kopuqnlv Kui 6v 1t6on poundtval iool Kal Ctvtl9ftol

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H Klvl1OIe autl1 ovoJla~EtUI ((pCtaqlopa JlUCl1 C)

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-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

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6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

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bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

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8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

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bull

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middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

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095 0 88 080

090 075 046

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065 032 017

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73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

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n (2 H d ) 2nd c g l h -shyho = 4Ld L

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To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

ploa6t1lpOV 1tpOC lrv avourrlv 96)uaouv Til KU~lat u ouvuyta~ vei 9puumvTOl ultp tttpou 1tEplomHi(lC4 4p OrUXC bd OllPCllOGlV Miwv llltOOV Jlf bjlflAUt KAioELlt 1) BE UPXIIO 0pll)crU KUAt1TUI 1tpwrl1 )(ltLIlJlTl epuOaEUII TOO KUA iv8pou xmpi Vlt (Xl1 CJUVTpoundshy)1091 (JOllnOA1l ~J( TWV pound1tlcrtPECPOVTWV uJjutwv tm 6 11) v Qnfv p6~ to 1tP-u)o

Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

B) Mla MVCl jJL lt ovappocpT)arot ocpEtAoptvn d Tflv I1UOlPEmiddot cpojJcvnv npot t o rrtACI )Olt P01)V 1l 6nOlU 7fPOKClAd cl~t6Ao)a unoeHc~IClTn tnt t1t~ l(oiTl)t ftc 9aAiraant ICal tnl tU)V 9poundshyJldilJlV TGgtV TpoundxvlI(illV f ptrov

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6uI vir tnc)9U A()I nOV 9paOOle toO KUjJatOe 9EroPTltlKGt npeshynEl

gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

H )EVlKfll kilcle tf t tlla(ha~ (aiYrl)( dvat ciSOVUtOtOEOOshyIJtvou jJllAlOlQ otl

Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

IInO mO=Lj

Euv O~ICO oex9G)IlEv 6tL t o 6ct80 9pauC1EOOe de dval JllKPOV (1tpu)Jlu nov Uv C1UjJaCllvEl nuvtotc) t6te SuvaHOtt va 96shyC1WjJev lCatu npoot)) LClV tghme do - rna do 6n al avwteuropw t SlC1o)aEle yivoVtaL

1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

18 I~)

060 H

bull18

1 ~ do - T Ho

do 030

R ~8 Iy)L 225 5

ltr- --shyya-

H 060 -H - - -shy

18

eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

OP lKOO 1Cigt1l(ltO~) Tf)~ tvq-yiiuC toC ICUjJClTOlt bt iUieipoo P6shy8011 taxUEl Kui Sta 1Cpound1tfpaojJpoundva Plt91 OIC0Jl1 I(at Sui 1toko JltK pU

p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

napCltT)prapoundlC etc tflV CPUOlV teUl 1tElpojJClta ampnpoundSel~uv 6n aUjJqgtCOvoDv jJeuro T aVCLncplo

y T o Oljlo Btl Kat [0 ~dII(Olt 1UrOD OpU)Opvou KUjJCltolt tbr I(at TO Pamp9olt de 9pCluoeco~ BsaptwVTal 1l0VOV h t OO 111V0~ t OO ICUpOTO II l Elc TO Olwatov 9pailocro lui t toO l-111K OUC l~ ICut T1i KUPTOtll[OC amp [OU KUjJCl[OC tn t amp1teuroipou puOoo

Et 6)bullAoo Co 8EwP1nKCt aOIl1tEpaajJCl[a Uv [crxuouv Sill jJpound YCtACl 6ueAAwon KllJlll[a

ell w

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KTllPIOTIICOV Tf)~ Opau(Jpoundll) tlLiv 1JIUITWV intcppuivLt apUTu

bullbull

451 louALOC 1970 Tcxvuco XpOVlllCo

[~V 9EooprrnKtlV 050 - 060 KOt EUPIOKETOI auvt9ffilt lJtyo~ AUtSPOtoo I tVOtE ot Kat 265

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H apooOl~ AOtrrOv toO KUIJOtOo OEV Eivol tonSpolt tvo~ Ppo~ Mo~ J1IlXOVIKOO lJpoundtaaXIlIJOTlO~OO sOootpoundpIK6gte toil KUlJato~ aUit ft tEAIKll ltpLlal~ SVOC toxtoo IJTlXOVIKOO J1E1aaXlIJ01101J00 hi IJlliC nOAu Ilpaxpoundiae OltocnaOEooe Kol 01 tOXUttpound~ dC Tliv KOp~riv Kal tOV nooo oAiYov OIOqlSpouv hpoundiv(J)v tvoe OPIO~ KoD JlEIJOVOOIJpoundvOU clnAoD JCLlKAI VSPI KOO KU~OtOC tOO a)ToD EUpOU~ Koi JttPIOOOO OIll 10 aUTO PaOoe 130010e KaOetOU Ent to tnfnpoundoov fJpfJ1ioe tfle 90100011lt tie TiV apXllv tfle 9POOOEWlt

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nopaAA llAloj10V 1Jpound1o~O 1fe oxso Eoolt ~()o Kat 1nC avoAOY100

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~06 = 05 Koi EAotTOOTOI 01011 TO ~ o~OV(I

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3) AI Oleuroa etlt ~ Kol ~ 6vTLotoiXOO~ 6)iYOv So~EPOOV tlOv tlJ16gtV 125 Kol 150 OIU )doult nU9J1EVQlt tAOcppGle tnlKAI~ vd~ 0))0 eupt9T)oav va p9OVOUV ovtlOToixwlt Tae TIlJoe 25 KUl 175 hi nUOIJEVWV tIOtPfTIKlO~ OVOOJlQAwV (tpoXEflt) At oxpoundapound~~ OOtOl AOIJPOVOUV JlIKPOttpalt tlJlCu OTOV KUpshytOtllC S tOC KUJlOtOe de to npoundAo(oc o~avEI (00) fffilt 005 ~ 006)

() H axpoundmc ~IO unEppalvEI nOVt01pound tnv 1J0voSO Eni AEioov

OUQlPGlv pound1tIKAIVampV nu9~EvooV O~6vpoundl Ot 6TOV TO OXEtlKOV

d1Ja90C 10 elVa ltEPIOOOtEPOV 600poundVE~

dUVQtOt OJlW~ oriOIe ~t v6 la30 tIJliV JlIKPOTtpOV tfl~ ~ov6SoC OlaV 0 rruOJlr1v hT) JIIKpaV IJE V Kliotv 01) 0 poundIVai JtOAO tpOXlx

TO anouJpoundoIJOTO tODm auJlqgtWvoOv nOAu KaUOe JlE to poundE unoAo(loJloO E~0(6~eva OILl AeOOe JtUOJlEVOlt

S) H npOJtTl (paJl~t1 toO KUAivopoo OpouOEooe KOI 01 OXEOpoundlt do do II - - -- H-- JlEtopaAAovtat atOOEpUle EKOtEPOOOpoundV 1ftCH Ho OtGpound~ toO tI tfle JlEall~ n~fllt t(l)V OVtIOTOiXooe

At 6vUKNiOpoundU ti)~ tvEp(siCU tnl tfle nopaJiw Kata tllv OpoOalv npoKoAoOV TtiV tvtunooolv poundv6lt JlEPIKOO Clapotis xooptlt Ota9EPO IJpound(IOTO KOl a OUv9flIC01 9paooEWe lJpoundta36l~ AOVTal 1tEpIOStKGle ano t~~ JllaC atlYJlflt El~ 111 6AATIV Ol c5ma9ev KoxAoO~oi xopalCtllPlatltltoi tfe OpouOeoolt poundEOqluvi~ OYrOl (Koi SEV JlEVel nopa lJia KivT)me clapolis) Ola ~[OV

KAiOlV aKtiJe 19q1 t6Oov JIpoundY0AUTpoundpOe OOOV rl K)ptotT)e 0 tOU KUJlOTOe poundte t6 nSAayoe EIvOi IJEYOAT) fitO 010

~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

BoOpoundt tt)lt aPxt)lt tt)~ tlOJlOIOlapound(J)t toO Opaoo)Jpoundvoo KOIJOTOlt 01 EVOlt 6PIOKOi) )JpoundIJOVOOJlpoundVOU ErOUV ylvpound noUni 1JpoundAtt0l to anOtpoundAta~010 tU)v Ono(oov auvOljli~OVtOI KOturttpOO

I To PaOOC OpouOEOOlt de elvOl tOoov ~ey6lo 60011 10 H ElVOI

lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

EniollC Ko9 UltOAO(IOIJOV OXEOIC elvot otoSepa Koi ElvOt Jttplaa6npov ~EY (U1l 60011 to L npoundJ6(ouc poundIVai ~tKpOV

2 T6 ft)polt H ElvOt TOOOV neplooonpDv ~EY6AO 60011 T6 poundupolt H ff~ to ntAoYolt Elvol IJEYOAo a l Aa K010ltiV uno)oy~

A II e 600--- OJloO I aXtalC H EUPE 11 tOll np lt J 0 ) Kal t6 poundupo~ He 90 lJpoundt0i30AEt0l TOTE onooc 1~ tllJTJ LT

Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

-bull 0 bull _ un

~ i - 1 I --1f bull+-shy hibullbull cpolt 01shy

V gt110

to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

~V

P EX 24 LJuly(al1110 )tfwv amp(8fwv 8(ovopFvruv XVP(iTwv Honi Danel

452 TeXVIKQ XpOYlKO lou~lOlt 1970

9paUOjlEVOOV 6p9iwv lCO)1tltUlV BI06tQl EiC t6 5u~yp(lJl~la 24

OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

EViOjuv flvGHiph) on T) llsy(crtll fvtacn lOU KiJlUTO rmpUtTshypthUl Ota trv OTt)Illlv epaucrpound~ lOU Kcd aim) i faxuC poundVOIshyaltpcpl tOV imoAoYIOlIOV tltLIV 9aAoaciwv EPYroV

H at)vOfOUQOIlEVl EVtOVOlt K1VltlK6tJ)C t(i)v Iwpifl)v WO 11shyoatO~ JIe to liao)1lttpoundOlOV milaC anOttA6t )Jiav tampV JoUplOlrpoundpolV Ol~JKOAUJ)v Sui t6v 1tPOcrOtOPIltTjJOV 6KPIl3011 -rijc iCTXLJOC toO JvIJQtOC bull Aqgt htpou Mv OnoTujJw oV[U(6jJOOllEV _TlV J(iVllOW

tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

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a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

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pC p ~ -

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Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

El~ oix QVW1EPOO unoue 010 H = 20 rL C = 32 fl sec OtE p ~ 2048 Ib ft ~ 091 t fL

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Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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a) ouva~lIl(ilV tvepYpoundlav OCPEIAOIlEV TlV EtC r v imEPUWooOlV tGlv ICtvtPUV (hawpaxljc TGlv )lOpLCUV 6mpavw 10Q eltlnpoundOOU 1lppoundJliae

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

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L TOU I3ciSouc tOUTOU o iaotirroTE OlCltOpaxn pound1C Til v tn llla-

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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at etr iov n6Bu t OC IUtcUJtou fl niEate dvOI jl6vov USpOOTOmiddot tlKfC ltpOOEWC

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0 na~nold 1t0COOE tOV KCLtCOTepco tuna V tfle jleyl(JtTle 1(l sOcWc

hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 13: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

-----

OUAIOC 1970

tO~ VOUtllCO~ K(vllew Outll IlEtOtOnlOEtIX uno trv ovo~o~ ala laquo1ovopr 61)bull0000))

Ev(i) )olnov to rrEIj)C~(nCl tllcpnv~ onooEIKvOOO V t6 ao~rrE paolla litt Jlr rrEplOtpOCPIKTt 6EWp(a oVHttpooronEoEI nEptomiddot OOtepov tilv npaYllatlKflv 016000lv toO KOIlUtOe KOt tvtp POIOf IOilc 6troplo otv n)T)pOl OUtt toix opo~ oovE1euro ioe t oO Kil~otolt OUtE tilv OOVOIl IKTtV loopponlov KUl we tic 100tOO otv El vO LtVtEAale Q)T)6~e tv TOUT01( 010 1tpOKttKO~ oKonoUc tqKlP~~EtO I 6wpla toO lPOXOEIOOOlt KU~OtOe ltigtlt 6rrAooOtpoundmiddot Pw Etc t 6l tcpap~oy6e npoc EvT1I1Epwaiv ovatpepollEv lin at lCUPIOtEPOL ecwp[al YEvpoundaEltOlt toO Ku~al0e Kat ~opltp~e toO Ku~roe t~poundTtol10av QvaAOtlKtllC ono trov Vliegel Kat J ohnso n ampI~ TrV I I1V ttl10tav OJVtAEOOlV MrlIaVlKrov oui trv OLYYKP6middot tT]OV tampv OKtltlW Ele to Long Beach ttil KOAlCPopvtae to 1950

6 Evtpyna TWY KUjlllTWV

H OAlI htpYCLO E tvoc KUlloroC IlrpcolX L elval Ota6Epo Kat ial1 npOe 10 depOtOjW Tfic KIVI1TtKfl C Ex Kat ooVOlltKfle Ep tVfpytlae Otll Otl ItOL E = Ex + Ep

Ot iegel amp J ohnson tKtpp6~oov tilv tVEpYELQV Il t toOt (IICOshy10060ue (5 pooc

Q) H KtVl1tLKr t vtpYCl a KOta 1101000 nAatOoc KOpUltPOYPQ~shy1lflC tv6l KUIlQtOc ElvaL to 66POlOIl0 Ttie KlVl1tLKtie tvcpytloe TampV 1l0piwv LL middot evQ illl ltOVOEIOElt KOlla olaoloolltvoo Ele ~6u ulirop ElVQL

P) H OOVQ lllKI) tvtpYEIO KOtoIl0Vaoo nAulo)( KOPUltPOYPUllllflc )1[oAoY~ttal tK tfle QVUlfooOEWe 1i rn-Wot ltolt toO U0010e tv crxtaEL rr p6lt t6 thtinEoov TipE~loe Koi htppo~E tal 010 tfte aUl fl e altaE~

pLH E = ~-shyp 16

f v6a p 11 1tlHCv6tllt TOO l1oatolt Kal H L 10 uwoeKQi t 6 1lfllCoc tOO ril~atOe PH1ol r KLVl1ttKr KOL OlgtVQIlIKr tvtpYEIO euroIvai tor]

IE = _ pLH 2 8

KOtrottpw olooytol 000 r1)1[0l Xptiat~OI oUl t 6v 01tO)0YIOJlOV TfJe tVeuropytiW t oO KUIlOloc fI TOO tAEyXOO 6)ACUV 1topayoVtwv Lui 11066 Moop

H)E = 8L Hl (1 - (193 5 - L

lfi Q~a GoOlp E~8LH( I - 935C ~ )

EvOa E = ~ hpoundPtIO 10i) ICOJlUT~ de fUb j rl KOTa tTt V 01pound060101 1 t oO 1C0JlOtOe

L to ~fJKoe toO KUllat alt dlt (t H - Uwoc t oO KOIlOtcx de tt d ~ao_ toD Matelt poundI_ It c = hoe (J)vtEAea1rlt o l06~EVOe KCltCJJ tpound pW

bit d L ~ 010 0 2 030 0 C ~ 331 139 108 10

71 r EVUCU

middotOtav tvo KOlla OJVOVttloQ Kata tTlv olooooiv tOU fvo pound1tishyrrEoov the t oOtO eIVQl t dxoc cttC rrpovamp fI QKOIlI1 out i o( tl1 fI nopo)o avaKACLtat c31teolt 1) t)laKn aKTe Tl npo01dshyrn-OOGQ tni Ka6ptrn-oll IlE QrrltitAE10V ntplacroltpou f1 OA lYooshyripoo uwoOlt lCat ~vtpYErW olatT]poollpoundVT1lt 51lwe tfie 106shytT]t~ tG)v YW VI(1)V rrpoo1t1WatWlt lCa dvoJ(A6aEWC

H Oltole tGlv 6~rov H d Koi H~ tol) QVOKAw~tVOO KOt 100 npooshyrr[rn-ov-roc KaAtttClI CNvtEMCTtT1e QVaKAOOEWl TJ

O pOKU1ttpoundl deEv E~pOe OLOtOpaIIje ioov n polt (1 + 11) H d KOt tvtpyUCl loll npoe (I + I1t) ltpopcie t~ e npoOnL1tloual1e TOLOUtl1e h euroIOTt n tvtpYEtCl toO rilllOtOe dV(lI ci vCiAo101 toO 1poundlp01ooVOO toO pound0100lt

LlQ f) lt I hO~EV JlEPIKf) VDVoK)OClV cv41 Ot(lV T) = I Ex0IlEV 6)~Ki1Vshy

72 Avadaau toO K U~Otoc t 1ti trtlrttowv E1tlKlLVroV 1tue~tshyvrov t tJJnoOtrov

OtOV 10 13600e toO 1tu8Iltvo ~E IOOtU1 KQVOvlKGle t6tE Tl i)ltl shyOoOLe toO 1CUIlO-t oe Mv E[VQl napaAAT]AOe np6e 101 tnlTtEOOV n08~tvQ Kat to KOIlO 1tpOorr[1tTEl trtt t00too Ilamp yrovlav npoOshy1ttWOEUgtc lt 900 t~tpavUolltvOl t 61E 100 cpclIv61lEVOU TnC avoshyd6atwc we efe TO a1fJllo 17

rampVIICamp~ oEx6J1t6a 6n bEv on(lPlEt aVCKAUOle tnt h6lt 6aAaashyaioo poundpYOO nopo 0101 il KOp tOTI1e toO npOO1tirrTovrOt KOIlUTOlt dVOL

8 lt 0 251 YltP sintltp

(6rroo qI I) ywvio Kl latUgtC t ~lt tnupovdoe tOC tpyoo roe 1tp6I to 6p l~6vtlov poundttl1tESOV) fl t Ol

0 lt 011 Ot pavElt I I I

006 l 2 0DJ5 2 1 002 52

Kui ot(i nnpo)lQlCOC OK toC

S lt 001 4 0 Olcl 1tpovte 2 0007 15 00025 1 000044 0 5

AUol tpEuvr]tai rrapaot1oVta l Otl Ola VCl urrOPXl] 6A1Kr ClVQKAClOle 11 Kup t6TT)e TOO KOIlQtO~ cle 16 oVOIKtOV nAaYOe nptrrpound1 yO dvut

S lt 0196 tg ltp

~TOt lt 020 Ott JtPovtc J 1 009 32 005 2 1 0015 5 2

bull

EX 17 E)EvIHea impclletO TOV Clapotis b i1J~J~vrtU rrvlJpbor -Ot 7lQoqiJ 8eoVOlfEVOl) xvuaTo~

middotlouMo~ 1970

0 cngtltpounduaT11t olcl)cuaecut II Srn lIPOli ia loopi uvrollOshyAta xat xtllpt 8puu(JCI tool KUIli-tWI oui OUvn9tr rrepu)5ow 00 KU~tato 6ioetUl ito tou lILVOKO J8

nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

Igfjl S= O5(() I6= 1 is = 3~) o ~ 4S= 2 1 I 11 096 093 086 080 076 21 3 I 4 1

095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

006 003 I

004 002

0Q3 002

001 002

T6 oHiypa~lla 19 oiSpound~ t6v auvtlAtcrtnv QValC Aaalwc 11 cngtvapshyti)acL tfic ICUpt6tltolt 0 Kal TfjC KAicnoo toO tTrtrrtioou ava KMlatWC OLa ~u90 000-10lt anEtpou

73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

~OTDv 6 OUVTEAEaTl)C ava(lacrewlt tOO (u~aToc 11 elvar laolt ptnll plnou 00 Ilt TTlV 1l0VOOCl (11 gt 080) T6Te hOIlEV 6lIK1)V aVUKAClOlV TOO OlJatOC iinc 6vo~ampETal Kal Clapotis

T6 luptaa6tEpOl S(plKt6v h TOO 0ftoAoYlolloO ClapoLis dvat t6 KUAWSPLK6v Clapolis tnt arreipou fl arogepoO ~a80o 16 civantUaa61ltvov i)l1tP008EV KOtOKOPUqlOU IlITronou KCl9tTou rrp6c Ti)V iSu)uBuvOl V TOO KUJlaTOlt Elc r)v rrEpbnwor v taUtl1V hOllcv aKPI(ilU Tl = 1

T6 ftp6~ATllla TOO ClaJloti~ SUVOTOI va t~poundTocr9fl Kata nOAshyAO)lt tponou cillt nx cngt)1~ATt tv6c npoanhrtOVTOC Kat ~v6 UVaICAro~IvOu KYIJOfOlt (iu ouo yenWOOIlPIJOVIt(i)v DUo (J)v9t middot TWV KUIJIlTCUV tawv aUit uVTI6imov tUXOTitwv KAIt ~OAal

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

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Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

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4Ttd Ld si nh -r

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np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

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--

449 lou~Lo~ 1970

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HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

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Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

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SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

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ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

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Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

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P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

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gil v =C ~ ~~ C bull gH gLo

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Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

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naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

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BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

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a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

napCltT)prapoundlC etc tflV CPUOlV teUl 1tElpojJClta ampnpoundSel~uv 6n aUjJqgtCOvoDv jJeuro T aVCLncplo

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bullbull

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

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455 10()10lt 1970

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To olaypajljla 28 OEIKVUeurol 1ae ypajljlae mECJS(r)e troy we aV(r) EPEUVIl1UJV SainrIou - Gagli Kai Minikin

LUYKeuroICPIjlpoundVooc 0 Minikin EnP01EIVE u To CJIl~Etov jlllMv tfle ItLECJ6UJe npEnEI va euroiVUI 166 H unEpav(r) toO poundnUcfOOU 11peuro~iue

p H jlEyiCJt11 ~vtaCJle ltIECJE(r)e EsuCJKEI1al ete 10 poundninEOOV tshypeuro~iW tfle 6votKlfle EluAaCJCJlle KUt hEL n~11v pz = pH

y H jleurotasU toO CJ11jldou jlIlOeuroV 1tl~ mECJE(r)e Kal tflc ~euroY[CJtlle 1OIUU1Ile E[e tTlV EltLcpavuav 11pEjliae tl nfECJ1e jlElUj3UAAElUt

o Kat(r)ElEv tOO EmnEoou npeurojllae n nECJ~ dVUl OJlOlOjlOpcpOe TCJllnpOe 1nV jlEyicrt11V P 01 OAOV to puEloe

At oIXoyv(r)~lal nCtV1(r)e tampV poundPEUVl11CUV CJav poundK011AOI Kat npOC

MHAEN CACLI MHflEN ~INIKIN

MHflEN SAIttfLOU

M

c bull

s =

Ex 28 LJwY(OI1W meae(r)v xcna Sainflou (S) Cagb (C) xf)i Minikin (At)

~56 lou)lo(j 1970

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CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

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middotlouMo~ 1970

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nlN AS 18

LuvtdEltJtT)r QVaICAOeJEillt TJKlicrtlt lIpafo(X

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095 0 88 080

090 075 046

I 075 051 025

065 032 017

052 025 014

5 1 069 022 0 13 010 008 10 1 014 009 007 006 005 20 1 10 1

008 006

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T6 oHiypa~lla 19 oiSpound~ t6v auvtlAtcrtnv QValC Aaalwc 11 cngtvapshyti)acL tfic ICUpt6tltolt 0 Kal TfjC KAicnoo toO tTrtrrtioou ava KMlatWC OLa ~u90 000-10lt anEtpou

73 AvUIlC)Q(J~ TOO J(v)Ja-(~ tn IICOTOIICOPUqmO noptia (Clashypolis)

~OTDv 6 OUVTEAEaTl)C ava(lacrewlt tOO (u~aToc 11 elvar laolt ptnll plnou 00 Ilt TTlV 1l0VOOCl (11 gt 080) T6Te hOIlEV 6lIK1)V aVUKAClOlV TOO OlJatOC iinc 6vo~ampETal Kal Clapotis

T6 luptaa6tEpOl S(plKt6v h TOO 0ftoAoYlolloO ClapoLis dvat t6 KUAWSPLK6v Clapolis tnt arreipou fl arogepoO ~a80o 16 civantUaa61ltvov i)l1tP008EV KOtOKOPUqlOU IlITronou KCl9tTou rrp6c Ti)V iSu)uBuvOl V TOO KUJlaTOlt Elc r)v rrEpbnwor v taUtl1V hOllcv aKPI(ilU Tl = 1

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prat-olJcvu EiC cm6crlaarv Id cm6 toO IJEtcimou ~n[cr11C ICI middot

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Ta POPI U ni EUP~OIC6~evo ei TnV nEploxTlV IlElUtl ~1 lCoi

tvoul~Ecro 1J0pia (IVOOV101 ampnl TPOlUlV ~nCAlvampv KClni olamiddot cp6poolt ywvia At YPolJJlal po ij C rrapOl)(JtQ~O)V KUTU rrptiJshytTlv npoopound YY IOlV

2ilx 2TIz Sin -r- Sinh - L- = a1a9

d d

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E) AI nEplaTpOqlllCal ICtVi)OE1C t oO nu9IJEvolt elvol 1J11 0euroV

aT) AI imEpuyenooaCII Ka t a i ntmaElr 11k ueuOtpalt i1tt(POVEioC lCo8IDlt Kol at KUlIll(UPUqlOI taXuTlln dvUI IJL(UTttll El l KaTa-

Ld 1C6puqla trrlnpoundl)a QnhOVTD lleta~U TOOV arrOOTaaeurolC 2 tOU

TEAeUTOioo taut I ~OJlpoundVOU )If TO ICOtOI(OPOqlOV p~twnov avamiddot ltaCJEWlt (IS ox~a 20)

Q AI 6Pl~6vt lQl TUXtH11TU dval IlEYlatOt Ei tnirte60 TonoshygeTllflfva ouxi aKPI~WC EI~ ta Ilioa Ti)V eurorrl1ttSwv i)= rrap crT QAW fAu9P6X KeLIJE Va np6c lit trrimou 0 L 2L KAn pound1(0shyOtTl lJpoundyiat11 lCattlK6puqlOC 1tctA~rwoc aVtlatOIXe[ AornOv etc )Iiav euroAaxlat11V 0PlOVTiav lCai aVTlaTp6qlcu~

R lleyctt11 tlOv IJEylo tcuv taXUt1l JtU9IJEVOC Elval

V gtltgll

4Ttd Ld si nh -r

n) H ni rm TOO uoaTO IlETCllaAAETDI 1tpoundPIOSIK6X Xa-yo IlliKOC TOO A1tLnU50u avoKAOaECUC

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d T6v n6l50 toO )lETWnOU t6 M ~MiXI cnov tnicrl~ ypalJllllCmC )lETa TaD la80u~ 0110 1lT)8~v pL1P l tou min

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a) T6 69pola)la KlvnT1lCf Kal SUva~lI~~ tVEPYEialt tljo ~ t~l1C TOO GSOtOC (tUla )ltcrov Opov ctto9poundpu) pi)I(OUC Ld ElvQl lO11

np6c E _ - pgl1~ Ld lha tl)v JIovOoa rrAotouc KOpUqlOshy

l) H IlETacprpOIJEvl1 tv~pYpoundla tau Clapotis np6 ~v om9ep6v hinEoov poll euroVT6 IJIUC ncpl6601) Elvat UKPllwC 1J118~v

middot 0Aa t avlOupltJl cngtllnEpOo~(1tU toov imOAOYICfIJWV aUJlqlcuvoOV Ilf to rrclpoJlO l(i tv Tl) rpuaet Cui t tpyoOtTlpill

H rraraTTlPleJl OflKvUCI on t6 rluv6ctov l(UpU dVOI d i)TlshyAilTEPOV ~1ttnESov uno ro ltJUV110rC Iwi tni tijlt t-aTuKopu(pOIl na(lpoundlu t6 Oomp avuyenoulol 1laquo(11 nirrtft Kutil ~1[Cll olaSpojII)V

--

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Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

Otav t o P690c toO Ttu9)Jeurovoe llpoundlOOtat 6l1aAWc t ottiu~ tlj~ lPlPflc tlti)v Ilopioov TOO u5atoe t n a(noO 6 )JE)QAO~ aii~wv tOOv EAAemtlKrov 1l0PlUKOOV TPOXIG)V QnoKl(i Iliav KAlal V w~ np6lt to opl~6vnov EniTtE50v iine ouvEXroe atiovEI oaov t o Oa90~ EAAUTTOOtOl (10E LX 22)

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SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

ploa6t1lpOV 1tpOC lrv avourrlv 96)uaouv Til KU~lat u ouvuyta~ vei 9puumvTOl ultp tttpou 1tEplomHi(lC4 4p OrUXC bd OllPCllOGlV Miwv llltOOV Jlf bjlflAUt KAioELlt 1) BE UPXIIO 0pll)crU KUAt1TUI 1tpwrl1 )(ltLIlJlTl epuOaEUII TOO KUA iv8pou xmpi Vlt (Xl1 CJUVTpoundshy)1091 (JOllnOA1l ~J( TWV pound1tlcrtPECPOVTWV uJjutwv tm 6 11) v Qnfv p6~ to 1tP-u)o

Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

B) Mla MVCl jJL lt ovappocpT)arot ocpEtAoptvn d Tflv I1UOlPEmiddot cpojJcvnv npot t o rrtACI )Olt P01)V 1l 6nOlU 7fPOKClAd cl~t6Ao)a unoeHc~IClTn tnt t1t~ l(oiTl)t ftc 9aAiraant ICal tnl tU)V 9poundshyJldilJlV TGgtV TpoundxvlI(illV f ptrov

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6uI vir tnc)9U A()I nOV 9paOOle toO KUjJatOe 9EroPTltlKGt npeshynEl

gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

IInO mO=Lj

Euv O~ICO oex9G)IlEv 6tL t o 6ct80 9pauC1EOOe de dval JllKPOV (1tpu)Jlu nov Uv C1UjJaCllvEl nuvtotc) t6te SuvaHOtt va 96shyC1WjJev lCatu npoot)) LClV tghme do - rna do 6n al avwteuropw t SlC1o)aEle yivoVtaL

1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

18 I~)

060 H

bull18

1 ~ do - T Ho

do 030

R ~8 Iy)L 225 5

ltr- --shyya-

H 060 -H - - -shy

18

eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

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a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

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p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

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451 louALOC 1970 Tcxvuco XpOVlllCo

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KAiOlV aKtiJe 19q1 t6Oov JIpoundY0AUTpoundpOe OOOV rl K)ptotT)e 0 tOU KUJlOTOe poundte t6 nSAayoe EIvOi IJEYOAT) fitO 010

~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

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lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

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2 T6 ft)polt H ElvOt TOOOV neplooonpDv ~EY6AO 60011 T6 poundupolt H ff~ to ntAoYolt Elvol IJEYOAo a l Aa K010ltiV uno)oy~

A II e 600--- OJloO I aXtalC H EUPE 11 tOll np lt J 0 ) Kal t6 poundupo~ He 90 lJpoundt0i30AEt0l TOTE onooc 1~ tllJTJ LT

Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

-bull 0 bull _ un

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to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

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a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

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pC p ~ -

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

O At lletapoAal tfl~ rtUOEroe E(~ 11lv OKPl~ij geltJlY UTCO)O)Imiddot cr)loCi xma llv ltlIOOlV cpoptlOC(IJlt (UUIIITgC) Mv ~Eapl1lvtal rtOAu eK 011 OTllJeLoo evOn 0 KUlJa rtaAAnal Kal a1aOtpeuroshyltpenn i)JtOAo)~poundl se Tit IlliAAOV ~vo u4lflAhv lJt lo ov 1illaquo1tIIshyoewe Ku9L1COlt euroTC 100 OflJ1dou hSa to KOlJa QPX~Et vo KOlAit~ ~ l) oKo)ou90ulJtv lC tE QAAOU tflc KOTOOtPOcpfjlt nepUJ06 EpOV JlOKpUU

AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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2ru LR= He

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

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fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

~ ME)UA(U mcoEI uvonTUOOOVlOI Jl6vov scp ooov f0 nuxoe foO SuloKoc Otpolt Elval lE)OAUnpOV ToO~IlIOpoundOC TOI ihoue TOU H anOfOIlOC aihn nhOte poundtVOl avO)o)olt 100 tEtpoYOOVQU tfle tOXUtnfOC foO KUllatOe Kat avnOTp6cpo~ ovalo)oe tol) nal-0ue roO O-rpOOIlOtOe 101) Qipoe

) At aKOUOfllCOi nliOel C ennpE6~OVtOI EcuPEflKa ano n)v tniopoOlv 111 oultapoxfle ToD GOUfOe tOOv npOTl)oullsvrov KUIlUtrov tnt frov UVOlIlUllG)v TOO IlETcUnou

o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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(pd + pol (ho - HI II ho + d

11 bt UItEPUro(JIe KOfQ Tflv OlatUpax1lv TOO t1tlntoou flPEl-dae Tfi C SaJcioone npo toD KOTQKOPlxpOU JJoamptomoo e[VQl

nHt 21td ho= - L- ctgh --c-

To Oeurola tie pall~t1c nOv moewv TOO -U~UTOC Clapnlis tni KOmKOplxpOU IlEToonou TjpEuvi]6n KOt uno 1tO)AOUlt 6Alouc tpwVllf(l KaS oOov 1) olJvajlllol KpOOOle fampv KUJ1UltllV We t1011 poundl-ojlev avaCPeuroPEl cic TO npOn)OU~EVU KEcpUA01a tSn~Oup~ )l1OpoundV QPKtra CTTl~aVTIKa npo~lfll(HU fa 6noia 0Ie1T1CTtOO9Tl ouv t600v ete tnV IpUOIV (SOov KOt tnl ~OVttU(rJv

Ta npoj31illlafa mOta t)evvi]S10UV t~ uitiw TTj lt 6j3f~ut6middot f1to foO noOo(JtoO SpaiJnrfJ)lt tGlv KUjJatrov KUfU Tflv 1TpOOmiddot nTlOOW KOQffiC Kut flte alCP1~0)ioC tOU e180ue TOO 6VUI(MoIlCmiddot OU Kil~lltoe

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E tUAOU fI )Pa~lfl nu~aEOX cptpefQl oli)ov olacpoPETIK~ tmiddot Ke(VTle 6AroV europeuvTampv

middot0 ItaA6e KaeTl )TlT~e Gagli T6 19)4 de Chf1ova Kuiap)OtEPOy ev auvtpyaoiQ lS tOV Ko8TlY11tflv fHuckj t~EA Et1CTavt6crov Ete ti)v CPUOlV oui jJ8TP10(I)V ooov Kal dO TO tpyaotliPlOV niv Spuaav TampV KUlJtlTW tnt KUtnKOPUCPOU Iftwnou TO OUjlntshypoOjlUtU exouv ltblt QKOAOu8roe

u H 6PI~ovtiu nieuroole (on il lrnEppallouoa OUIKTl f) QlVl1nmiddot Ki) ltitOu OUJlltPWVWe np6 Ti)V o vaiv T1C fl onolu SUVOtOv va rIVnl thE np6e tov )I ~ivo EhE npoo T6 1ttAorOt) tlaoKou~ )JeuroTl U1TO 1TU)l tKO D c0IlCLtOlt )EV11Clraquoe cpSUVEI lJiav StllV ~Eshy)ioTllV tlpfiV 6A()OV KcJTwetV tie crra9~n 1fe tlpt~ouOn~ tHLcpavElae oVO tt~ SetAUOoTlemiddot

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455 10()10lt 1970

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O H ~euroyiCJtll EleurotlKn nleurom~ Pi EAattoOtal npo~ paElo~ tOCJOV

nSPlCJCJOteuroPOV apa6E(r)~ oCJOV to CJXeurot1KOV paElo~ ~ jleuroiOOtai

H nleuroCJl~ autll d~ tOV nooa toO jleurotamou Aajlp6veuro1 tnV jllKpOmiddot tpoundpav t1~1v PI tltl~ amptv euroIVa nOtamp ~upoteuropa toO ]2 tfl~ jleuro yiCJtll~ eurot~ tnV poundm~6veurolav npeurojllw

6ui ppaxea KUjlata ltoL lCujlata jllKPOO jltiKOU~ at mtCJeuroI~ dVaL YI3VLKroe jleuroyaAlmpa

E Ta naAjlLKa ElUeuroAA6gtoll Ku~ata (tv aVtIElpoundCJeuro1 npOC tae ICpamiddot touCJW 6nOWeurole roptCJjlEV(r)V poundPeurouVT]tCUv) OEV jlEtatpeuronovtal navton CJpound CJtatlKa pounds ahiae toO Clapotis aAAa olatl]poOv tel PaCJlKa xapaKtllPICJtlKa tCUV tPOXOeurolOroV KUjlat(r)v jle tpomiddot xlaKnV tiv Kal 1POnOnOlll)lpoundv11v Kiv11mv Kal on 1aOta Esamiddot CJKOOV nLeCJeuroLC jleuroyaAUtEpae EKeuroiv(r)v tae o1to[ae npoKaAoOv 10 CJ1aaljla KUjlata 1a nPOeuroPX0jleurova pounds autoO toO to[ou tpomiddot XOeuroIOOOlt KUjlatoe

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~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 15: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

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bull ~ ~

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~S)UAutepav 100 Efpoundu9epou KUlla tO~ KQt 6u nsploo6tEPOV Ctn6 t6 12 toC UIjIO U~ TOO KUlWtO~ Eupicrn[al unspClvco tll~ llpslloua ll~ t1tuj)Qvdm

Ele t6~ cpaOE L~ 100 Clapotis (i5pound EXn)JUTU 20 Ka( 21) ritOt 1tp6a 1ttCOOl ~ KU Il(lfOe hi KaIOKOptHpOU lleuroToonou KaaEtOu 1tP~ n) v 5 lpound09uva (v tou aV6KAaOl~ E1t aVToO Kal au~POAn roO avashydltOIl EVOU lle9 hEpou 1tpOO1tiTtT OVt~ ICui tv ou vEei Q- 1tp6ashymcoatc t OU vEou KUlla[o~ tnt TOO ~LeTti)1tOU 5tv t1teuroPXEtal 9paOshyal~ TOO KUllaTO Kal tOoto anoteuroJEi xapUKrllPIOTlK6v 100 ClapoLis (mOto OeuroV to-XUEl JtUVtOtpound Kui Ilia IllKpa 11 lIE)aAl1 9puOat~ 6UVUTUl va oUIl~ii w~ 9a i6collEV KUtcortpco)

HOTtroe Ele t6 nEAu)o t v ropQ tppn)lliae 10 E1tLTtE60v llpElliac tie 9aAaOale U1tEPUIjIOOtal avaA6ywc roO tEtpu)wvou tfl QlCTlvoc 1tEptOtpoltpllc TOU )lop iou d~ niv AJtIltpcivElavoOtoo KUj eI~ TO Cla potis 91i EXroll EV Kata t ov S ainriou

n (2 H d ) 2nd c g l h -shyho = 4Ld L

ho =

Otav t o P690c toO Ttu9)Jeurovoe llpoundlOOtat 6l1aAWc t ottiu~ tlj~ lPlPflc tlti)v Ilopioov TOO u5atoe t n a(noO 6 )JE)QAO~ aii~wv tOOv EAAemtlKrov 1l0PlUKOOV TPOXIG)V QnoKl(i Iliav KAlal V w~ np6lt to opl~6vnov EniTtE50v iine ouvEXroe atiovEI oaov t o Oa90~ EAAUTTOOtOl (10E LX 22)

~Otav Cl($I hEPOU [6 KU~lU 6tv Ouvavt~ altOtO~a 8Illt66IU 6lashyOlOEtOI tQXEWC npoc tliv oKtn V fl 6E ~EtOqleuroPOlleuroVll tVEPYElU Ol)VEXGlc lIELaOiOErOl Eic olu60XLK6)c lIlKpOtEpac )1oue Moshyto~ LUVETtEiQ tOUtOU o[ lIOOI aOtal onOKtOoV ~iuv auvEXOOc npo~ t~ v OKtliv a~OVOllEVI1V OPIlltLKOtlltU H OPlll1 ll KOtTle aOtl tAUnou tal )EVlKffic Kal tvOteuro tEouOEtEpoOTal tEAEiWC A6yU) KClTa(JTpoltPfie tfle IlEta(j)Epo)JpoundVTle ~vEpYeiae uno tOOv TPIPGgtVdlt tov rru9)lEVU Kai tfllt uvarapaxiJlt fOUTOU EE UAAOO fl ~E taaOOIC unO TO) KU~QtOC tf)lt a utljlt lt0061ltO~ Evep)E iaC altO QItElPOV 690e etc ltEltEPOOllt VQV ltpOe [~V 6nllv 1 UAAooC altO ~EfU)~UtEpOC UOOTivQ~ 1l6~ a~ Ele lIIKpO[EpOe tEOVOYK6~euroi TO lIOPIO va olOypa(fJOUV EVtOC tti c a0t~c ltEPI600U ~EYOAU[euro-

__ Kopo~ Clolgtoti~

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I +

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EX 2J fl(otpu xVpoco Clapotis

Q bed c

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~P l UO(UI~ toli XUIOtO d t~V ltfciOIV e

pac tPOX laC - Exo)lev Ao urov Iliav a uc lOlv cav cpoxui)v tOOv Ilopicov Karo tnV 6p t~0Vdav 5LEU90voIV )l EtQ56o EWV [00 KUshy~atOC (EAAElTttlK~ tPOX LQ 6J~ Ex0IlEV El tit v Itap 4 2 avanrushyEE L) Kallliav avu)KaOtlKTlv auETlolV tfl tpOXLaKij~ tUXlHlltoC tOOv Ilopiwv altpoO e~ t ov aut6v xp6vov T n ppoundnEl va EKTEAEshyoouv lIla nAnpl tAApoundllttlKitV neuroplo[pOltptv

Ei60llEV e1tiol1~ tK tfl~ rivCOtEPCO Ttapa)p6ltpou 424 Kai 425 6tl fl tOXUtlt ~EtaOOOeuroWC tOU KUllam npoc nlv CtKtT1V sIval IlEaAu te pa ti~ lleylOTlle tfle Eilt ti)v KOPUqgtitV 1l0plaKfle tOIshyautllC Kal OU llpoundtol)Tat )JETa to) pa90ue toc nU9llEvoc

Eltialle it )1E((Otl1 )10plaKn [axuTlle UIgt iitt ~ CLTtOnQTUL 6 TUV t o ~6plOV OlEPXEfa l oAiyov ltp 6 Tfl e Kopu(fJfl~ auEavEI oOov to KUlIa oluoio ETa l ItPO~ [a 60a9it (KEltp 4 25)

SUaEl rG)v aVCOtEpW AOlnov OtOV TO KOllO 6lQ609t1 Ete tOlOOshyrov a9o WatE a) H tPI~it Ent tOU TtUSll tvO~ va EXI] npOKUshyUasl rOIOUtllV C1tl apaOUVatV tfle TUXUtlTOe 61aOOOEWlt 101) KUshyIla me Cd Kai tOlClUtlV UUCl1atV Tile IlE)iotnc rpOXlClK~e U(l tOtE de tit v KOPU(j)itV KatOarptQgtETUI 6 oUYXPOvlaIlOe trov ouo raXotn t wv 6 cme t~l(J(j)Q)Ltpound t il v 5ui500Iv roO KOIlOtltgtc Koi to )1 6plo til~ KOpUqgtie )6)Ql Tile Jl EYQ~U ttpoe TOXU tlt6lt lWV tElVOUV vCr EUPE90uv )1Ettropa d to KEVOV Kui AOYpoundp Tilt pashyPUTl1tO C TWV va KCltanEaouv KaTa j1iov nEpinou TtupapoAIKi) v rPOXlaV

To ltpOlv6l1 EVOV t oO[o KOAeuroIrOl laquo 0 p 0 0 ale tOO K U 11 0shyt 0 e raquo Kol to avtia[olXa 0101 XEtU OaOou~ ltu9llEvo lIE)[atll~ raxurlto~ 1l0p(wv raxutl1roc TOO Ku~OtO~ KATt laquoE tOIl E i a S p Qua E W C H (de bull Co Lo H 0 KATt) To K))10 O~ middotue yov npo TIj~ apau(JEOOe tOU naUEt va elvol Ka9ap6)e TtOAj1I KOV Kai ucpiataTOl a9J1lUIOV )JEtOO Xl)lOTlaj16v To I1hroTt6v tOO KOshy9ioTOHIl OAOEV Kai TtEPLOo6TEPOV Qnoto)1ov t vq ll pax l a utOO )lVEtUl lte plaaOtpoundpov ollaAlJ TtA lalli~ouou Tliv llJlITOVOEI 51j KUIlTtUAnV KaL tt KopUltpn KEpo[~el Ouvtx6)e nEploOOtEPOV toO TtoM Il EXPIC 6tou [0 E)1Ttp6a9l0v tlltillu tOO IlEtO)1tOU eupeshy91j atwpoull EVOV ((Oeuro LX 23)

ETtL 1(USIlEVrov 6l1aAOOv KAl(JEooV to OPQUOllEVO KUllaTo OTtoOl1shyKSUOUV tnt j1aKp6v KOXAUOIl EVlV llii~Qv 101) aXn)10TOC 61looc 1tOPOIlpoundVOV tOe JtEpiTtol) a UIlIlETplKol)

Elti nu9jJeurovWV nEplaao upov Crnot6)Jrov 6 KOX)aO)Jo~ el VOl nEplaa6t EPOv Piulolt Koi ItEpIOa6tEpOv a UVTojJoe T o ltpo(j)i ~ toJ K0l1ato~ xavpoundl tit v OUJIJlEtpiav TOO Kai 16 05wp ltiltTeuroI I3lairo~ ((6E axt6 23) Ete OlltO 10 Ol1ll Elov [0 K)JiU ([vEtal KaS 6AOKfnplov eurovu KUlla lIEtOqlopae tt 6E OUVOllle Kal Opj1 TJ tOU iixouv (fJSaael tJiv lIE)iOTnV EVtOO[V troy To altOtpoundAEallO TOOto 6Xl lI OVOV 5tv JtEPlOpi~eurotal EL~ to 6a91 0))0 TtOA)6Kl~ bnEishy

~-~L t) nf~O~

-----

~50 loUAloC 1970

lSTal Ka t Elt lJEYaAlmpa a6911 16 - 20 6py61v ii (hO~ll1 1[1shy

ploa6t1lpOV 1tpOC lrv avourrlv 96)uaouv Til KU~lat u ouvuyta~ vei 9puumvTOl ultp tttpou 1tEplomHi(lC4 4p OrUXC bd OllPCllOGlV Miwv llltOOV Jlf bjlflAUt KAioELlt 1) BE UPXIIO 0pll)crU KUAt1TUI 1tpwrl1 )(ltLIlJlTl epuOaEUII TOO KUA iv8pou xmpi Vlt (Xl1 CJUVTpoundshy)1091 (JOllnOA1l ~J( TWV pound1tlcrtPECPOVTWV uJjutwv tm 6 11) v Qnfv p6~ to 1tP-u)o

Oe r1vat cpuOIK6v ftSpanGle [00 1()jJUTOC O1JVOSCUrtOl Jl~ OIlOUshy5aiac KUTampotpu Koi ciJ(06euroa~llooCl( r fc tvEpye(ac SrUllOOpshyyei 8t 4 bUV~IfI~ al onofat bpc1gtaul c[tpound unuaor olYVXp6vCX che IlqlovIJJJlev~ dil11OUV to cpya Cal Ta 6J(ac

At OUVaf1ClI a lltOI elYIlI

a) Mia Kat dgtBETav 6pl~ovt(a QUvCtI-lI( EvepyooonC 1t1 OSroC

P) Mia KOtOK6puqIltX npoC [6 avO) aVOKACll)ltvn 6iwCljJlt

)) MlCl tutCl6nuCp0lt 1tpamp ta KatOl B6VU~lH 6(pelko~ltvn ett tT1V ntUJOlV tijc jJuqC toO OOCLtOC opOOa lV EiSE l atpupClC btl toO 1tuOjJ~VOC Kal

B) Mla MVCl jJL lt ovappocpT)arot ocpEtAoptvn d Tflv I1UOlPEmiddot cpojJcvnv npot t o rrtACI )Olt P01)V 1l 6nOlU 7fPOKClAd cl~t6Ao)a unoeHc~IClTn tnt t1t~ l(oiTl)t ftc 9aAiraant ICal tnl tU)V 9poundshyJldilJlV TGgtV TpoundxvlI(illV f ptrov

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6uI vir tnc)9U A()I nOV 9paOOle toO KUjJatOe 9EroPTltlKGt npeshynEl

gil v =C ~ ~~ C bull gH gLo

Co - - 2- = 2rr 19hrno do

Lo Ho -- ~shrno do I)

1

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Lo = Ltgh rno do Kal

( 0 ) ~shmo do + rno do II Igh IllOdo )

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1Kal

naflaAel1tOVTCC TO VOpov (rno rle ) ~ nOA lIllCpOtEPOV [00 2mo de 6 (JUvSuaajlo tGv civooTtpoo l~ tao)aEWV O[OEI

5

d _ 11 LH ORO H Lo ySshyo - V 128TI - 5 2255I

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bull18

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do 030

R ~8 Iy)L 225 5

ltr- --shyya-

H 060 -H - - -shy

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eli tlil v ovrotpoundpW pounds laooaewv (6) Kal ()) auvu(euroTat On [0 Po90~ toO nu9lJtvoc etc to onoTov to middotJ~IU 9paUtTUl IlUl to oVtta[ Olshyxov d toOtO UIVOe I(UJlCltOc aUUVOVTal lhav [0 UIVOe TOO UshyjJCtT0lt d c to neuroAa)oc aOl6vet poundnian c Tel ~iliKO l(i)JlU TO~ Lo p[ ~ ulv 9euroOlv 9paooE(IX crovClptrael tou 8a900lt 9puuoeW( do e6)Etal poundIC t-nc Tnhnlt t~ la61aCtU Tfl~ O~IUOO ) fiui [lie amptQshycp6poUC auvJi8EI C KUpTOtlTCl~ e lr T 6 ntAa)o 0 ~e OKOAou9~

BUl 6 = 001 0Q2 004 006

Lo -= H1187 d

AI axcaEIlt 01l00 -~_~ I~A Mv e[VCIl a[agepai Kat AajJp6~ vouv tt~lft toaov )IE-y a)UTepae oaov ~ KUptOtTle ete to npoundshyAa)olt f(vat JllKpOtRpa Oihoo 5ur

du HoIi ~ 001 IT 075 - 1- - = 150

S ~ 004 = 051 = 10

0 gt 004 = 010 = 100

navta -r QvuneuroPOO ~t1tOPPeuroOUV uno nlv 6empiav t ol KAaOC1lICOO KU~LatOlt n6no[a 1(010 TO 1tAdatov tl lYti to cpalvojJflva [~C olCtMar6lt toO I( ujJClrOe d mnfpaaptvov aka crrU9Ep6v pashy80e eUAUaOnlt ICat ~1[ 6Plovdou keioo rtu9jJEVOC Et T a(kr+ 9T) OjJIDlt stv OUJlpalvoov mOtu K_ul I(ata (JUVttUlUV l KktOlfi nIt KOUIlt tile 8aMiaanc Kalil OOjJ1 (lilY 61fL1lv JlpoundTapciU4i1 toU v6Jloolt dC KIVrlOf(l)C TWV II1JJl(ttoov nOAAol t ptUVllfOl w tl( tOOTOU icrXOJti911OUV0gt tAix9n dvwtCpJ) t6aov 9t(i) ()1ttICffit 6aov Kut nElpajJUtllC6lC ~It~ Jlovttkkrov I(l1i tnt napamiddot t1PlJacwv ICat IlEtpilC1Co)V riC tflV 8aAuaoUv npocrJtClaoDYn~ va 01rpwv1laouv to np61~All1lCl toDto TI) IClVlJcrpoundOl ICai 1fK 5VVaJlIKC opoopoundwe tG)v KlljJ6troV tli crujJJtepaollClta tG)v O~ rroiwv h9CTojJcv ev croVEXElQ

0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

TaA~~ t1_ Tn ton_

a 0 KAaaalKOc Tunolt E - 8I pgH L (ToO onkol) KUAIVshy

OP lKOO 1Cigt1l(ltO~) Tf)~ tvq-yiiuC toC ICUjJClTOlt bt iUieipoo P6shy8011 taxUEl Kui Sta 1Cpound1tfpaojJpoundva Plt91 OIC0Jl1 I(at Sui 1toko JltK pU

p HKopoqri ToO 9pauojJ6voO KUJutolt Q)86vll fva UIV0 + O75 He Kui 1tOOc --025 He ono [0 tltineoov flPEIl(CU tfl~ SaACtashyanmiddot

napCltT)prapoundlC etc tflV CPUOlV teUl 1tElpojJClta ampnpoundSel~uv 6n aUjJqgtCOvoDv jJeuro T aVCLncplo

y T o Oljlo Btl Kat [0 ~dII(Olt 1UrOD OpU)Opvou KUjJCltolt tbr I(at TO Pamp9olt de 9pCluoeco~ BsaptwVTal 1l0VOV h t OO 111V0~ t OO ICUpOTO II l Elc TO Olwatov 9pailocro lui t toO l-111K OUC l~ ICut T1i KUPTOtll[OC amp [OU KUjJCl[OC tn t amp1teuroipou puOoo

Et 6)bullAoo Co 8EwP1nKCt aOIl1tEpaajJCl[a Uv [crxuouv Sill jJpound YCtACl 6ueAAwon KllJlll[a

ell w

OlYrOO il UVoAo)1Ct Ho 1 6noiu ultou )d (0 ~p ( atIOV X(Lpn~

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bullbull

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dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

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452 TeXVIKQ XpOYlKO lou~lOlt 1970

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91 reV1Ko

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tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

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d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

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nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

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455 10()10lt 1970

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To olaypajljla 28 OEIKVUeurol 1ae ypajljlae mECJS(r)e troy we aV(r) EPEUVIl1UJV SainrIou - Gagli Kai Minikin

LUYKeuroICPIjlpoundVooc 0 Minikin EnP01EIVE u To CJIl~Etov jlllMv tfle ItLECJ6UJe npEnEI va euroiVUI 166 H unEpav(r) toO poundnUcfOOU 11peuro~iue

p H jlEyiCJt11 ~vtaCJle ltIECJE(r)e EsuCJKEI1al ete 10 poundninEOOV tshypeuro~iW tfle 6votKlfle EluAaCJCJlle KUt hEL n~11v pz = pH

y H jleurotasU toO CJ11jldou jlIlOeuroV 1tl~ mECJE(r)e Kal tflc ~euroY[CJtlle 1OIUU1Ile E[e tTlV EltLcpavuav 11pEjliae tl nfECJ1e jlElUj3UAAElUt

o Kat(r)ElEv tOO EmnEoou npeurojllae n nECJ~ dVUl OJlOlOjlOpcpOe TCJllnpOe 1nV jlEyicrt11V P 01 OAOV to puEloe

At oIXoyv(r)~lal nCtV1(r)e tampV poundPEUVl11CUV CJav poundK011AOI Kat npOC

MHAEN CACLI MHflEN ~INIKIN

MHflEN SAIttfLOU

M

c bull

s =

Ex 28 LJwY(OI1W meae(r)v xcna Sainflou (S) Cagb (C) xf)i Minikin (At)

~56 lou)lo(j 1970

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CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

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du HoIi ~ 001 IT 075 - 1- - = 150

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0 gt 004 = 010 = 100

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0 LaTTAs to 1937 Bl-leA6[T)OE[0 7fpOaAT)jJCl toaov 9EWpnnl(lU oaov Kat nelpCljJClnKW ~1t1 jJOVttAAOU tv $ poundp)aat-npicp 1(0shy

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451 louALOC 1970 Tcxvuco XpOVlllCo

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middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

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IOUAIOC 1970

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IouAloft 1970

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ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

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451 louALOC 1970 Tcxvuco XpOVlllCo

[~V 9EooprrnKtlV 050 - 060 KOt EUPIOKETOI auvt9ffilt lJtyo~ AUtSPOtoo I tVOtE ot Kat 265

E~TlXOll AOLnOv to Ol)~UTSPOO~O 6n ft 9EOOpiot00 KAaOOIKOU -U~OTO~ osv ~nopoOopound va tOXUI] Ei~ tt1V npoundp[ntooolv toO 9pouo~ ~tvou KU~atOC KOt 6tl em ~voVdoc 0) KAlaLC tti~ Koltll~ TtiC 90MOOIle ~EtOPaUpoundl toult YVffiatOUe VO~Oue toO KVJLOTOC tnl cn09EPOO Kat 0PltOVT(OU JtU9Jltvoe Kat P) ft OpaDale TO KUJ10tOC OUVTpoundAfltOI J1t1Q ono lJiov nponopoaKpoundoooTlCllv nE~ poSOV EoooTEPIKfl~ KOtOcrtPOqlfjc Ti)e EVpoundPYElW Y) nOPOOOlC TOO KU~OtO~ stv poundtteuroPxnOt 6TOV ft tPOXIOK1l tOXUtll~ tG)Y E1U~ qlOVEIOKGlV ~op[oov t~laooa(l IJE ttlv TOXUTT1Ta ~poundto06apoundw~ TOO KUJ10TO~ aAAa altpoD unpoundpllO tOUTIlV

H apooOl~ AOtrrOv toO KUIJOtOo OEV Eivol tonSpolt tvo~ Ppo~ Mo~ J1IlXOVIKOO lJpoundtaaXIlIJOTlO~OO sOootpoundpIK6gte toil KUlJato~ aUit ft tEAIKll ltpLlal~ SVOC toxtoo IJTlXOVIKOO J1E1aaXlIJ01101J00 hi IJlliC nOAu Ilpaxpoundiae OltocnaOEooe Kol 01 tOXUttpound~ dC Tliv KOp~riv Kal tOV nooo oAiYov OIOqlSpouv hpoundiv(J)v tvoe OPIO~ KoD JlEIJOVOOIJpoundvOU clnAoD JCLlKAI VSPI KOO KU~OtOC tOO a)ToD EUpOU~ Koi JttPIOOOO OIll 10 aUTO PaOoe 130010e KaOetOU Ent to tnfnpoundoov fJpfJ1ioe tfle 90100011lt tie TiV apXllv tfle 9POOOEWlt

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nopaAA llAloj10V 1Jpound1o~O 1fe oxso Eoolt ~()o Kat 1nC avoAOY100

Tfe anoo4ioc tflC EvpoundPYElOe 100 KUlJotOC Kata to nEipaj10 I1E IJ[OV KOHl npoapoundYYIOIv t1tlrpaVEloK1lv KAlal V 15 tfe KIVlltl~ Kfe tvEPYfiCU toO Opooo~vou KUIJOtOC pound6ppoundOpoundiOTle iOTlo ~ poundKEivT)v toO YpoundVpoundtl(oO UIjIOUe flTlo Elvol taTl ltPOC 05 6TOV

~06 = 05 Koi EAotTOOTOI 01011 TO ~ o~OV(I

TEAolt 6 Larras KOtOntV TlUv olpoundl0x9ivtoov nElpolJaT(J)v tv t$ EpYoatIlPi4) Kol 1mpOTrlPtiopoundoov tampv CPOVOJlEvOOV tv tfl CPUcrpoundI K010ATl(fC

a) To paOo~ tflC OpouOEooe de Kata IJfKOC ttic npoJTT)e (pOJlshy~fe toO KUAivopoo ElOptotOl (mO to e~po~ H KOl tt1V KUPTO~ tT)tO is tOU KOJlOtOe eie to ntAo(oc Kat tIC toO eupoue He 9paoofooc OUtOO

3) AI Oleuroa etlt ~ Kol ~ 6vTLotoiXOO~ 6)iYOv So~EPOOV tlOv tlJ16gtV 125 Kol 150 OIU )doult nU9J1EVQlt tAOcppGle tnlKAI~ vd~ 0))0 eupt9T)oav va p9OVOUV ovtlOToixwlt Tae TIlJoe 25 KUl 175 hi nUOIJEVWV tIOtPfTIKlO~ OVOOJlQAwV (tpoXEflt) At oxpoundapound~~ OOtOl AOIJPOVOUV JlIKPOttpalt tlJlCu OTOV KUpshytOtllC S tOC KUJlOtOe de to npoundAo(oc o~avEI (00) fffilt 005 ~ 006)

() H axpoundmc ~IO unEppalvEI nOVt01pound tnv 1J0voSO Eni AEioov

OUQlPGlv pound1tIKAIVampV nu9~EvooV O~6vpoundl Ot 6TOV TO OXEtlKOV

d1Ja90C 10 elVa ltEPIOOOtEPOV 600poundVE~

dUVQtOt OJlW~ oriOIe ~t v6 la30 tIJliV JlIKPOTtpOV tfl~ ~ov6SoC OlaV 0 rruOJlr1v hT) JIIKpaV IJE V Kliotv 01) 0 poundIVai JtOAO tpOXlx

TO anouJpoundoIJOTO tODm auJlqgtWvoOv nOAu KaUOe JlE to poundE unoAo(loJloO E~0(6~eva OILl AeOOe JtUOJlEVOlt

S) H npOJtTl (paJl~t1 toO KUAivopoo OpouOEooe KOI 01 OXEOpoundlt do do II - - -- H-- JlEtopaAAovtat atOOEpUle EKOtEPOOOpoundV 1ftCH Ho OtGpound~ toO tI tfle JlEall~ n~fllt t(l)V OVtIOTOiXooe

At 6vUKNiOpoundU ti)~ tvEp(siCU tnl tfle nopaJiw Kata tllv OpoOalv npoKoAoOV TtiV tvtunooolv poundv6lt JlEPIKOO Clapotis xooptlt Ota9EPO IJpound(IOTO KOl a OUv9flIC01 9paooEWe lJpoundta36l~ AOVTal 1tEpIOStKGle ano t~~ JllaC atlYJlflt El~ 111 6AATIV Ol c5ma9ev KoxAoO~oi xopalCtllPlatltltoi tfe OpouOeoolt poundEOqluvi~ OYrOl (Koi SEV JlEVel nopa lJia KivT)me clapolis) Ola ~[OV

KAiOlV aKtiJe 19q1 t6Oov JIpoundY0AUTpoundpOe OOOV rl K)ptotT)e 0 tOU KUJlOTOe poundte t6 nSAayoe EIvOi IJEYOAT) fitO 010

~ 00075 tgql = )0 npoundpinou 001 45 0Q2 80 004 100

T6 l3a9oc Opaooeooe de TO) KUIJOtOe poundJttlppound01poundtOI aKO~1l Kat an6 avt8eta PpoundOJlUTO tltl TO) p08IJEvolt KOl O~OVEI 600v to ovtl9ftOV ptOJ1a ampIvai JlEY04itepov

BoOpoundt tt)lt aPxt)lt tt)~ tlOJlOIOlapound(J)t toO Opaoo)Jpoundvoo KOIJOTOlt 01 EVOlt 6PIOKOi) )JpoundIJOVOOJlpoundVOU ErOUV ylvpound noUni 1JpoundAtt0l to anOtpoundAta~010 tU)v Ono(oov auvOljli~OVtOI KOturttpOO

I To PaOOC OpouOEOOlt de elvOl tOoov ~ey6lo 60011 10 H ElVOI

lJamp)oAoalAcl KaS unOAOYIOIJOV (tgtIunk) ti axsOte ~ eupLshy

OKStal otoOepa LOll npoe 128

EniollC Ko9 UltOAO(IOIJOV OXEOIC elvot otoSepa Koi ElvOt Jttplaa6npov ~EY (U1l 60011 to L npoundJ6(ouc poundIVai ~tKpOV

2 T6 ft)polt H ElvOt TOOOV neplooonpDv ~EY6AO 60011 T6 poundupolt H ff~ to ntAoYolt Elvol IJEYOAo a l Aa K010ltiV uno)oy~

A II e 600--- OJloO I aXtalC H EUPE 11 tOll np lt J 0 ) Kal t6 poundupo~ He 90 lJpoundt0i30AEt0l TOTE onooc 1~ tllJTJ LT

Kat lDJollt unoAo(tOIJOUe (Stoke r) ti axpoundole ~~() t~optatOt EK tt)~ KAiOEWlt tgip tflo CtK1ftC Kat poundlvOl TOOOV ~EyoAotipo OoOV ti K)crte 19ip ElVOl toXUPOTEPO KUlJa[vEtOI Spound IJE1alU I - J6 010 auvti9EtC KAOEI~ tt)C 01Ctt)e

0 Gaillard oleltiltJtoooE KOt6nlv ItClponwnoewv En) 58 Ktshy1J00tOOV nOIKIAffiv uljIlOv 4 fl - 6 fl npO Tfl e 9paooeOllt Otl ti Kp(alj10C ttJlt) TOO poOooe 9pouapoundoolt tJCLllJov9T) IJpoundTO~U 072 H Kat 2H Kal 6n Sui tU)v IJEYOAOttpOO aplOJloD napatT)PtloSOOV to de = H H JlEOll 111Jt1 100 de hi 134 nopatllPTiopoundQ)V hi

dti[e QVOO1epOO neptntOJopoundooc titO J67 H 1fe IJEToPoAftc - H

Ku~ovSeIOIle ~poundTQ~U 1 - 271

0 Steve nson SiSEt 10 do = 072 H

0 Gaillard UnOOtllpl~pound1 tniCJTlC 6t1 nppoundnE( va AOlJll6vooJltv on Ow Otl Kala -tV atl(JltlV Tfllt OpoOOwx n tOXunC TU)V J1oploov oJttpt)oivsl Kota )0 tr1v TUXUT1l10 oloo6crEW~ TOO KUIJOTOlt

dtov va OIlJlEIOOStI 6n 0 AlJpoundPIKovolt KaellYTItti~ R O Dean ~poundApoundt~Oalt OpoundooPllnKU)C teu OIVOt1KW OpOOOEWlt tU)V Ku~(hoov tiC aPoOEle noOJlEVolt OtOpound1 t~v TIJlV toO paSoult OpaUaEffilt iaT)v npoe TO (hjloe toO KU~OtO~ EtC to ntAo(oe (do = H)

Tnv t1JlnV tOUtllV npotpoundvoov lCoi nOAAoi ClAAol poundPWVTJtoi K010mv poundpEUVIle toO Danel ti OpIOICTlnEpIOXt1 JIpoundtO~U ApoundOOv

-bull 0 bull _ un

~ i - 1 I --1f bull+-shy hibullbull cpolt 01shy

V gt110

to- _ bullbull11bull ~ i II II ~ t 1 lo 11lt4 k bullbull ~ hI lbull

~V

P EX 24 LJuly(al1110 )tfwv amp(8fwv 8(ovopFvruv XVP(iTwv Honi Danel

452 TeXVIKQ XpOYlKO lou~lOlt 1970

9paUOjlEVOOV 6p9iwv lCO)1tltUlV BI06tQl EiC t6 5u~yp(lJl~la 24

OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

EViOjuv flvGHiph) on T) llsy(crtll fvtacn lOU KiJlUTO rmpUtTshypthUl Ota trv OTt)Illlv epaucrpound~ lOU Kcd aim) i faxuC poundVOIshyaltpcpl tOV imoAoYIOlIOV tltLIV 9aAoaciwv EPYroV

H at)vOfOUQOIlEVl EVtOVOlt K1VltlK6tJ)C t(i)v Iwpifl)v WO 11shyoatO~ JIe to liao)1lttpoundOlOV milaC anOttA6t )Jiav tampV JoUplOlrpoundpolV Ol~JKOAUJ)v Sui t6v 1tPOcrOtOPIltTjJOV 6KPIl3011 -rijc iCTXLJOC toO JvIJQtOC bull Aqgt htpou Mv OnoTujJw oV[U(6jJOOllEV _TlV J(iVllOW

tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

o Miav aixplv Ttlemco~ aKpw~ UlatCII Kai apaxEiae OrtOTEshy)OUCfn~ lJiuv ~l~ I middotTtlv Kai QrtocpaOl(ttllnlv IjlOtIOIV OVOJlU~omiddot JlVTlv (Gille = mcnootj laquo8aAaooio ocpuPW)

a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

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pC p ~ -

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Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

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tOV tUTtOV

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uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

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p ~ pH

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nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

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aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

El~ oix QVW1EPOO unoue 010 H = 20 rL C = 32 fl sec OtE p ~ 2048 Ib ft ~ 091 t fL

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Eltt n)Jov UlVETtpoundpaVE 6n

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AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

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Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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a) ouva~lIl(ilV tvepYpoundlav OCPEIAOIlEV TlV EtC r v imEPUWooOlV tGlv ICtvtPUV (hawpaxljc TGlv )lOpLCUV 6mpavw 10Q eltlnpoundOOU 1lppoundJliae

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

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2ru LR= He

l-l lCal L T6 liwoo Kat to )IflICOC l OU KUlla roO JlOICP UO lOU I1E~ Tllmou BaoE nil t~ I OcOcrEcoC WUlrj e KOtEOKpounduacrE laO I(Q~shyItUAae 1tlpoundOeroc tni KOWKOPUCPOU JlEtWnOU 010 OEOOIlEVWV H T 2 Kal T

OUTW poundK to oxft ~aTOt 25 n-POKU1ttpound1 AB = H + ~1t4 lP L Koi

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L TOU I3ciSouc tOUTOU o iaotirroTE OlCltOpaxn pound1C Til v tn llla-

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

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o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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at etr iov n6Bu t OC IUtcUJtou fl niEate dvOI jl6vov USpOOTOmiddot tlKfC ltpOOEWC

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0 na~nold 1t0COOE tOV KCLtCOTepco tuna V tfle jleyl(JtTle 1(l sOcWc

hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 18: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

452 TeXVIKQ XpOYlKO lou~lOlt 1970

9paUOjlEVOOV 6p9iwv lCO)1tltUlV BI06tQl EiC t6 5u~yp(lJl~la 24

OuVoptnoEI toO axctlicOO po0O~ Ld Kal TIle KUpt6tntOr

H 8 = L TOO KUJlutOt

91 reV1Ko

EViOjuv flvGHiph) on T) llsy(crtll fvtacn lOU KiJlUTO rmpUtTshypthUl Ota trv OTt)Illlv epaucrpound~ lOU Kcd aim) i faxuC poundVOIshyaltpcpl tOV imoAoYIOlIOV tltLIV 9aAoaciwv EPYroV

H at)vOfOUQOIlEVl EVtOVOlt K1VltlK6tJ)C t(i)v Iwpifl)v WO 11shyoatO~ JIe to liao)1lttpoundOlOV milaC anOttA6t )Jiav tampV JoUplOlrpoundpolV Ol~JKOAUJ)v Sui t6v 1tPOcrOtOPIltTjJOV 6KPIl3011 -rijc iCTXLJOC toO JvIJQtOC bull Aqgt htpou Mv OnoTujJw oV[U(6jJOOllEV _TlV J(iVllOW

tou tulJatOt Kala nw nopEiav tau 6tpound loDn) npOKQjIEI Emshyopacnn Opuiac Jl fl ElIi1tl vus tnt KPOUCJEW orEflEOU crWjlQTOt KUTU htfPI6pIITTOV a[l l9)1ov OIEU9(llOIWV

To 1(i~HITtP-1CTTtiTttllv btL fv6~ KUtaKOpU(pOU Eixou~ I(UTClltAUshybull O~ I la~ 6Ktii~ ltPOKUAEl

o Miav aixplv Ttlemco~ aKpw~ UlatCII Kai apaxEiae OrtOTEshy)OUCfn~ lJiuv ~l~ I middotTtlv Kai QrtocpaOl(ttllnlv IjlOtIOIV OVOJlU~omiddot JlVTlv (Gille = mcnootj laquo8aAaooio ocpuPW)

a M(av JleapoJtiv n1 TttioE(lI OAly(i)Cpov I3loim KOt 1tEptashyo 6tt(lov OUVCXUI JlIKpcilt lEv l)lOpKpoundiat (n~A aicr9ni1 jliXPu tftc OHlOrtOPU toO 1(11l0TOlt Tint 6volJci~amptal (Buurrage) cpol)f~alt

duO AOlftOV lpOcr81t umipxouv K(no nv SpacIV n )(i t1)IHltOC TtpDOTthnovtot poundTti clJnooiou i1 Ctf)XlKtl OlpUPO (rtiHo) KOl I TtUKO)oUOoOcm r6P(l1CfIlt (BOllll8gC) To fHllJu toiTt () uvnmiddot lC1W1tLjlal tVLOt1l ffi~ n 11 OelJa OTt AGn cruvlxoCq rtlpoundOIWlt QAAn n()~1ttJ t V(l 0VLCfOf tIn rl aplia alhTl toO ICUlJatUC uTt~Xn no)ii UTtO tTIv uOpauoTOv 0PlJnv lJU1C KU)latllCflt npOOaOAij~ To 9ipu rtuvnu~ Ka[tOI tXt1 Tto)u ~ptuVTl9fj Kat Tt OAA o lmonAimiddot cJlIlta TbV tPEuvl1lv OiHCOV eq)lPlJ6tovTal CtiJlEPOV Ttp6C imoshyAOYIOllOV 1(OV eaj(lOoiclv npyoov tv toinolt OlJoot TO 9iJl0 Mv eXEl QK6lJl tIl9ucEl Eie 0 EAOC

~UJlcproV6)t npOt tllv aPlllv ffie opacrtooc aVT iopaCJl t ~1tICPashyvampm igtqI1Gta~livfl~ ouvuxfj TtleOtV uno]~OYI~ampal lJE ov pu9)l6v tlouOcepW01~ TI~ KIVl1ltKfjC oVEPyetcu

-OmE av P Elval to lapo C )lovaOo~ OYKOJ oC iJSao~ Kal C i1 axiltllC olaOOOECO C ou Ku~aTO xrna 1~V cnYlJtV 1fI~ jJ ty[(rnl ~ tVTaOEOlC 0))011 (9paucrecolt) 6TE hl fflt 1l0v6oo~ euro1tupov doC tvEPIt nitOI iOTl npoe

pC p ~ -

g

Meuro T6v rtPOOSIOHO~16v OlJro~ TOO C nOAAo i tpEUVfl1ui I)OlOAishy011001 to Un01poundA~cllota OJlroC otv -OUJlIpWVoCv Jlto~v oov EiOIIIUC Jld t evotOqipEl n TOXUtl1C tnl ap09wv rru6jJpoundV(lIV Evao O( CJUVOI1KOI elval ItOA otacpoppoundH1mt ot6n i1alutfl~ OeuroV r~apshyTIital nktov mi tb ~lJ1Kolt wu KU)lOTOe 6l~ cru~aCt(Vamp1 Eilt Uri9Tl

d gt (9EWPl1tlKUlt 6neipou ~6eOl)lt) 6)~)a unO t~V yCf

0 Rankine npoaouDplcre tllv 1OXOTTl1a

0 Gaillard EO(JJltJpound KaOnlv P0TtOTtOli]OECOlt TOC nvoo 1lmOU

tOV tUTtOV

Kol oi 000 UrtO (ftEPIOCOtEPOV 6 1tJXIHOC) oloouv ~u~ OO v axuti][(ov be t(bv ono((uv TtPOIcHtTOUV 1tI~aEle nOAu InjJ11 Aui euroV oxeaEl )l~ t~ ~poundtpoulJtvat tv tt] ltpOOEI KOS Oaov CSi v EX EI

uupcOfl uKplaTJC n)l~ 100 MyoJ ~~

bullAUot epwTltie il1tocrtTlpl~EI 61 ft ax1)fl1C C 5ui puS

d lt -L tlUp1Utal 1l6vov tK toO du Kal O(OEI 16v nJltov

2 c - 573 YliU OOlto oVtcmoKp(vEtal rtATlptcrTEpa rov CPUClKl1lv tUXUTTl1roV

H lJti crullqlrovia TCOV IlpoundAEtTltrov 601)(ci f C tllv YEVIKnV hiPPushy01 v 0Q Unou tampv mcolXOv

p ~ pH

do6nou EtC tOV CJUVTEAFaTllV K I= IT 6xEI l)oSfj Evae lIPKEa

Jli-yaAo~ cipl9Jl0e t1fIOW Ei~ to aV(J)tepw 1(poundltpaMlIOV ( SpllucrEWt tliw Kl lJuit)Vraquo) IX(I euroKtCVfot OIEpEUVlefl 0 OUVTEAEcr1ll~ K

nUvtCOc 6 Dubuat OiOEI = 185 Rayleigh 196 MilJiotl(~ raquo 125 O~ilJard IJ I Joossel raquo 162 Thibault 185

H lJpoundOfl tlllll outampv dvat 160

-Av AcljJWlJpoundV un OjllV ooe fXEI flol) Civacppoundp9t) Qvwrpoolhl 6 Oil ill Hd OhEWI on Ii mlirrT) lt (Iv lJopiwv fflt KOPUcpfjC lQfi KUJlaoc )(a1li i]v OtIYJlIlV t11lt 8pouO(jJ~ elva I lJpoundfUAUttshypo l((tO 30deg6 rc mxiltllTO toC fUIJQfOC t 6e i1 crm9cpu I(

aVPXEtOI de 233 H TIJlll autTl JJoAovun nOA) i)l~TlAOTI PU aTt6 1ltUeE UA)qV Mv crTCppound[TIl1 1tEIPUIJU1l Kt1c uTtocrtnpiEpoundco~ omolt drte-oeEev 0 Bidone o(rnc poundneurotuXE O1CIgep6 (l1tO 15 230 A( O~80lJrval 6vwtpw tl)llll wi) K OV1tOolxoDv Ei Ilv 1tEpishyTtTCOOIV tlic Ka9Et61TlTO~ 1fl ypalJllijC Jtl e(ffW ~ fOU K11~1Q10~ Kat flt euronlqlaVamptac euroTtr n~ 61t0a~ aihll eVLPyti

E~ Iv TtEplntrocrlv lJn Ka9c6tflTOC ypoIlJlfle nUl OI()lt - emshynUiou tvEPYEac f6u 0 A6pooC Rayleigh ftpOnivtl

z = 2gmmqgt 2 + g5 iJlqt

middotOnou av til = 9()t t6pound K = 196 iint H~ft ampUpiOKpoundT01 evt6C Tl1lV oo8poundvwv QVUl1poundPOO opiwv fOU K

Eilv I) 9E~ampAl(illillt eEiowcrtt ypaqlt]

p P 2xgH2g

toE ampnpound10Tl to ~ iIiII(OV ~6po~ TOU ooaolt p el lbrtJ SlIllpepE 6AYOV toO 2g tOU Il EElcrroCl~ ypucppoundtOl

p = 2x g H

EOv Be 1 6 on p 3 2gH

El~ oix QVW1EPOO unoue 010 H = 20 rL C = 32 fl sec OtE p ~ 2048 Ib ft ~ 091 t fL

nEtpOJlOnKOi ~pEVVat toU Larras lmi 1 OUvalJIKflc Tlllv 9pouo)ltvoov KUJJacov art~OElEav laC uvwtpw dc Ilv apXllv tOO napovtot KpoundtIlaAalou 8)0 cpacrEIC OpOOlOIlt wi) KUlJatOlt (Gilre xat Bourra~e) fl c OlpUpolt Koi TIjlt cpoptiaEWt

Eltt n)Jov UlVETtpoundpaVE 6n

O At lletapoAal tfl~ rtUOEroe E(~ 11lv OKPl~ij geltJlY UTCO)O)Imiddot cr)loCi xma llv ltlIOOlV cpoptlOC(IJlt (UUIIITgC) Mv ~Eapl1lvtal rtOAu eK 011 OTllJeLoo evOn 0 KUlJa rtaAAnal Kal a1aOtpeuroshyltpenn i)JtOAo)~poundl se Tit IlliAAOV ~vo u4lflAhv lJt lo ov 1illaquo1tIIshyoewe Ku9L1COlt euroTC 100 OflJ1dou hSa to KOlJa QPX~Et vo KOlAit~ ~ l) oKo)ou90ulJtv lC tE QAAOU tflc KOTOOtPOcpfjlt nepUJ06 EpOV JlOKpUU

AI JlEfOl3oAal ooal stv cp9avouv nOTE euroVTpoundAlll~ 6 nI E~OlJetPshyKOV ujIo to OViltJHHXOV EtC t6 EUpO~ SpU)OErfl~ de (1CUIlUVtmiddot al PEt~U 70 - 75 010 KA(ClV 1tLl91lvolt 19p -= 75) I((ti

oUlvipoVtal Kuni npoai(( lolV 6ncoc Kui T6 tupoc epauoEogtlt Ho TCI 3 4 fle )lCCTl Tlllll nov aVUlSeuroV 11 llPeuro1l0llC1T1C tAwshy9tpUt ~ltIlpavEiac Kat 14 xcnro9Ev OUtfo

Umiddot A( JJETaUoAat fl nlecreuroroe al 6va1tlucro6)lEVal Ka1O nv

IOUAIOC 1970

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H tl~r 4 lfIaivEt aL vel c(VtlOtOIXfI EtC t Tiv 6) IK V lCutaotposhyqnlv t flo nOOOtrj TOC tfllt IClvi]OEWlt TWV Ku~ciT Olv ICCnO t]v BpaDolv

y TO jIeYlcrTU TGlv ump7tlEOEOlV KatU til v ltpamv CPOpdoEU~ (Bourra~) Elval iou npOc lilv uOPOOTatllCTi v niEcrLv aVtl010 shyXOOoov d o uwolt 12Ro pTi unEppaivovta 61lwC lOUo IO lm1

Ai UltE P1tleuroOW KUtll tilV fPacrt v Ti)o oltpuPolt euroIvUI ouvilewlt 1fio taEEwe t WV 10middot20 L m2 nOAlgt onuviwlt 30 l im Kai dc tshy~CllpEtlKalt nEplntwoEIlt cp06vouv taUlt 70 tm ~

O Ai 9pauoE lC lGlv KUJlIlTWV tni tvoe tElXOVlt POrj900V1Ul nuVCoTt ono ~paXE iru tytcAWPcIlOpoundIlt ~Iairu (upiou Jl6111e nEshypIAaJlaavo)Jevlle IlEta~lgt t Glv ntl)Xwv TOO ICUJlata ICUl Ti)C 8mshycpavEioc n poOnnj)oEWlt toO IlEtwnot) n n e 01 Ctno t6)lot) OIOepUshyYTio npmco41 ttlv yvWOt Tiv tl(1O~EUOlV TGlv )lopiwv li)e eashyAacrcrrjC npoe TO aVOl nOAACrICLC OE lCal ll E)U)Oo 9aAucroia Jl0shy~ru )le crTlpCtVtl KOC tOXUt Tlt ru a( 6 noia l cp86vouv tnV taXoshytl1m tGlv 77 t)OlCO)lrj Kai Ta JOO msec

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Kala TOV Bcned it K01a 1hV aviUCAaatv TOO ICU)lOLOe tni t oO IlET6mOU 11 tVtP)pound1O OIOTrjpETral Kai rrOALv OtaSEpo lfle ouva-1l1Kfje tVEpYEioe 1C0SIOTOjJEVrj onnJ1aiwc OlltAaoiae tv() tv cruVEXei(1 at tOXUTrjTEe r(i)v 110piwv OUPXOVLOL Olo TOO Jlll0EVOe ICOI o)~Misouv Orj)lEt OV

OthOl 6 Benedit cruv6EtOVCOC to mEaEle tae OCPElAo ~E valt a Ell tflv unEpuwwOlV rou eJtL1LEOOU ~pEl1iuc Kat 3) Ete to uWOC tau lC6~atOe EOWOE 1OV Tunov rlj~ 61 IKflC mEoEWlt

~ ~l

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2ru LR= He

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-EXEI anOOELX9f) ~06r1)lOtlKWC 6Tl tdv 011111 uoar~ eVEpy~ t1ti 6yICoU Qtpoe 1tEPloopto~evou tvtoo OWAijVOC 1l )lEylOtll nishyEOLC tVTOC 100 OWAflvoe ouvaTOv va aVEA9 T] 35 cpopa lflo tshy~WTEPIICijo EIC rOUlot) npnlCuntE I fI tEhYTlOlt lGl v UnW1EUlV TGlv OqlElAOjlEvWV EtC 1~V OtPOPlAWOrj OpU01V Ele TO ot6shy)lIO V oi dc rflv tpll3nv 610 JlIK pWV PEAUWcrEoov 1OU 61(0)00 ouvCtJlE8a va Il ElWOW~EV niv QvooTepW tiEOI v ouxi 6~wlt 6AIshyy61tEPOV toU OL1tAOOiou tile teoolEPllC~ t

Ele t iJv nEpinTwo Lv JlICi C QVOIKTilC 6p8 pWcrEWI ft pw)llflt evtoe tOO IlpoundTcOnOU 100 KUllat06pauoCou niEOIe oli1Tl av Kat buvashyt Ov va poundlval tomn lCal 3paxEiac ota pICEialt tov ora9poundplile enavo1Q)lpelVE1Ot t~OcrlCEt Ili a 1t6po n-OAU toxupov olapPll Kll shyICflv t1tLOPOOIV n po- tOOTO TO JlEtWnOv tltacpflo TOO KOtOKOshyp6qgtou lCu)lat06pauotOt)npEnEI va poundlval pound1 ouva16v Adov aVE) pWY)l(i)voPJlGlv KO 1C0IAOt~TWV

1ov OJlwt o lCUA6rTlt Ee Kat ai oXlo)lai Elval )lpoundya1al ItXmiddot We eic to npavfi MWAWV OtCl 6YKOAiSoov cpipOllV JliyOllv n ltiEOle tot) 6Epoe IlElOUTOl napa 1t OA0 Kat 6KO~l1 elva l ou vatOv TE-1Eirot vo olaolCpoundoocrOl]

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EIC t aC 1tEP ln1wcrpoundlt laUtOe o 8UAOKEe oEpoo Efe ro low alCpov ap6pOOOEWlt iI KOI)ol ntOC Evoe ~ E T W1tOU ICUJlOTOS paoolot) tvshyOEXOJUVWlt va E)l1too ioouv rnv OpOOl V Tft~ eo~oOo[ ac otpupao

H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

Ai OUVOJlpound lC t~C SaAaooia~ oltpupOC Kai at 1tlEOamplo al 6CPEI16shy~EVOl Ei~ 10V tYK1CJ)1310~ov rupOC ~poundLOeU ICUI10tOe lCat ~ETcOnou lCu~ataepaU010U 0no1oyi~OVlQl ICUla nOIKi 1ouC 1p6nouc cDlt n-popATl~a OUVaI1LICI)C OPUOEWo TooV KUI1ltWV ~Em06oE(l 6tov oVU KA(i)VlQl hi JlttWltou

IouAloft 1970

At ampUVQ~Ilt 6~ af npOtpxOJIpoundVUI tK -rfle (JUIJHUOcroe iLtpo~ Kal 11t~ 6uAacrolw OlpUpUe tVTO~ tuw6pJlG)v op6proatlI)v KtA amptv dvat Buvutov va imoAo)lo60()v

Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

~ ME)UA(U mcoEI uvonTUOOOVlOI Jl6vov scp ooov f0 nuxoe foO SuloKoc Otpolt Elval lE)OAUnpOV ToO~IlIOpoundOC TOI ihoue TOU H anOfOIlOC aihn nhOte poundtVOl avO)o)olt 100 tEtpoYOOVQU tfle tOXUtnfOC foO KUllatOe Kat avnOTp6cpo~ ovalo)oe tol) nal-0ue roO O-rpOOIlOtOe 101) Qipoe

) At aKOUOfllCOi nliOel C ennpE6~OVtOI EcuPEflKa ano n)v tniopoOlv 111 oultapoxfle ToD GOUfOe tOOv npOTl)oullsvrov KUIlUtrov tnt frov UVOlIlUllG)v TOO IlETcUnou

o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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at etr iov n6Bu t OC IUtcUJtou fl niEate dvOI jl6vov USpOOTOmiddot tlKfC ltpOOEWC

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hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

C = TaxUTne KUjlGTOC K = oOVTc4oTfI~ = 1 5 H I 1TaIOe OTpIDIJO-rOe citpoe H = vlyenoc TOi) I()~OTOe

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MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

a H ~OP1UK Idvl)o~ -rrov KU~(tTWV Cia polis tlvat OTlJ10VIIKTl 6X1 ~6vov EI tTl1 t4u8tpav euroml)6vuuv OAAa Kui ete TOV 1tl)shy

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Ex middot tV (UJlf1 Cilipotis Kui thciy()ujJjJu m eOeoJJmiddot xCLni Sainflou

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tnicentlIivtill~ 610V -ro Ol-EHKOV ~6eoc ~ IvaI JlE)(UO Kat euroAu middot

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Ele tOv nooo toi) Iftoonou il tlEOIe elvot

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(pd + pol (ho - HI II ho + d

11 bt UItEPUro(JIe KOfQ Tflv OlatUpax1lv TOO t1tlntoou flPEl-dae Tfi C SaJcioone npo toD KOTQKOPlxpOU JJoamptomoo e[VQl

nHt 21td ho= - L- ctgh --c-

To Oeurola tie pall~t1c nOv moewv TOO -U~UTOC Clapnlis tni KOmKOplxpOU IlEToonou TjpEuvi]6n KOt uno 1tO)AOUlt 6Alouc tpwVllf(l KaS oOov 1) olJvajlllol KpOOOle fampv KUJ1UltllV We t1011 poundl-ojlev avaCPeuroPEl cic TO npOn)OU~EVU KEcpUA01a tSn~Oup~ )l1OpoundV QPKtra CTTl~aVTIKa npo~lfll(HU fa 6noia 0Ie1T1CTtOO9Tl ouv t600v ete tnV IpUOIV (SOov KOt tnl ~OVttU(rJv

Ta npoj31illlafa mOta t)evvi]S10UV t~ uitiw TTj lt 6j3f~ut6middot f1to foO noOo(JtoO SpaiJnrfJ)lt tGlv KUjJatrov KUfU Tflv 1TpOOmiddot nTlOOW KOQffiC Kut flte alCP1~0)ioC tOU e180ue TOO 6VUI(MoIlCmiddot OU Kil~lltoe

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E tUAOU fI )Pa~lfl nu~aEOX cptpefQl oli)ov olacpoPETIK~ tmiddot Ke(VTle 6AroV europeuvTampv

middot0 ItaA6e KaeTl )TlT~e Gagli T6 19)4 de Chf1ova Kuiap)OtEPOy ev auvtpyaoiQ lS tOV Ko8TlY11tflv fHuckj t~EA Et1CTavt6crov Ete ti)v CPUOlV oui jJ8TP10(I)V ooov Kal dO TO tpyaotliPlOV niv Spuaav TampV KUlJtlTW tnt KUtnKOPUCPOU Iftwnou TO OUjlntshypoOjlUtU exouv ltblt QKOAOu8roe

u H 6PI~ovtiu nieuroole (on il lrnEppallouoa OUIKTl f) QlVl1nmiddot Ki) ltitOu OUJlltPWVWe np6 Ti)V o vaiv T1C fl onolu SUVOtOv va rIVnl thE np6e tov )I ~ivo EhE npoo T6 1ttAorOt) tlaoKou~ )JeuroTl U1TO 1TU)l tKO D c0IlCLtOlt )EV11Clraquoe cpSUVEI lJiav StllV ~Eshy)ioTllV tlpfiV 6A()OV KcJTwetV tie crra9~n 1fe tlpt~ouOn~ tHLcpavElae oVO tt~ SetAUOoTlemiddot

a H ~qOtTl SCtn( f11tiEOIe poundfVUl OX-EOOV lCTTl de olae -rae nEmiddot P17ltWCTEIe 1tpO t1)v UOPOOtatIKi]V nlcCTlv Tilv 6ltptllo~cv1v Ele UjIOC H (100 l(~atoe euroVcPYoOvror euron 100 JJoampfcU1TOU)

455 10()10lt 1970

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O H ~euroyiCJtll EleurotlKn nleurom~ Pi EAattoOtal npo~ paElo~ tOCJOV

nSPlCJCJOteuroPOV apa6E(r)~ oCJOV to CJXeurot1KOV paElo~ ~ jleuroiOOtai

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Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

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~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

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~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

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d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

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458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

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10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 19: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

IOUAIOC 1970

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H tvt pYEla Ifle 6a1oooiac ocpupue EUTUXWC poundtva l on)~laia KOl TonllCil qO m v 6j1Wlt OUXVQICIe tJtavaAo~PQVE Tal cigtI Koi fI cru~nlEOIe aepoc TO anoCpoundAtOJlato poundlval Buvalov va ElvQl 6AtOPLa 1to)1oI oe KaLOcrlpOllai poundXouv 1tapaTTl PTlB Ti t tfte bpcioEW TOi) cru~ ItEmeuroO)lEVOU otpoc i tflc 9a1acroia acpupoc

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IouAloft 1970

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ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 20: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

IouAloft 1970

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Errl KU~J(l108puuatOO ampulnpuvcllv t~ OyKOAiampwv 1 fuuOle tampv ClnOtE)poundOlltIHOV tfle 6UAUCTOiuc mpopuc dVOl 9illo un09sOuv d)AU CJI0LYetal m8uvov 611 uno (OpIOjJlVO~ Ouv6ilcue OUVOtOV va nupouOIUcr6oi)v tOI(JUtUI t1(lOpuOw

fo CJIUIVOJlCVOV tfle hIJo)~cUOpoundWC 6tpoe IlItaEu u6lt1l0e Kui KCltOKOPlKpOU McUAOU SJIpoundHtnOEV hI jloVIsHou 6 IIagoold to 19)~ Koi lEta t6v B nO)K6Ojl1ov n6)fluv tltl anotcHOIlUta ot feb tpwG)v tau auPqHXlvoOv jlt tae JtoPOfTlPopoundle eurov ttl Q)1)Otl TuOto dvm

o ~tv unopXEl OoAaooio oQ)upa li otv unapl-U t ) KAw~IOlltmiddot vex 6ip

~ ME)UA(U mcoEI uvonTUOOOVlOI Jl6vov scp ooov f0 nuxoe foO SuloKoc Otpolt Elval lE)OAUnpOV ToO~IlIOpoundOC TOI ihoue TOU H anOfOIlOC aihn nhOte poundtVOl avO)o)olt 100 tEtpoYOOVQU tfle tOXUtnfOC foO KUllatOe Kat avnOTp6cpo~ ovalo)oe tol) nal-0ue roO O-rpOOIlOtOe 101) Qipoe

) At aKOUOfllCOi nliOel C ennpE6~OVtOI EcuPEflKa ano n)v tniopoOlv 111 oultapoxfle ToD GOUfOe tOOv npOTl)oullsvrov KUIlUtrov tnt frov UVOlIlUllG)v TOO IlETcUnou

o TO 1leuro)1cr-r0 tGlv nlsOrrov fo(lTrov euro1lltPUV1OVTOt 1l6vov ELe tflV nEploxtiv toO OUAOKoc aEpolt

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0 na~nold 1t0COOE tOV KCLtCOTepco tuna V tfle jleyl(JtTle 1(l sOcWc

hi tau ~eTcU1Tou Pmax - Po = 27 P~~ ~ O54C 2tl

EvSa p 1TU~v6TTle

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E TGIV ntlpujlciTWVhi TOO jlOVtEAAoU 0 Hagnold ClWcrrepaVE on ui ~lt 1IOnI 1IItOEIe ampv CJIUOIlCampV KUJJUfCOV ()no tlSIIClie cruvmiddot SiJKa OUVUtOV va cpSaoouv TOUe 6t f t

0 aV(J)ttpw unue Mv tIVClI euroJtLOEKfl-O tcpap~O) l~e KaS 6Oov f0 naxoc 100 atpo~ OpoundV elVQl OUVOfOV va 1Tpo06 10PLOS~ ne sa i6co~EV li~wlt KlLtWtEpCO 6 Mioikin l-Pl~atP01TOtpoundt mOtov 1TPO tCGYro)~v tvoe tunou nollgt XP11O(lOU oul tOV 6noAo)lmiddot OIlOV TGIV 1Tttoewv toO I()IlUtO tnt KOTaKopUqlou jleTOmOU

MEta TOV R(~ rwdil 6 Rai nfloll aVf1tWlE tOe taAulotSpa~ SEwpiae TOi) Airy Houssinef( Kai Stoke Kat nupouOiuoe T1)V 6rrolliav TOU TO 192t1 ~n( tfle Kl vi]OErolt Kul nlpoundOECU e f(i)v ICUllomiddot Tro TOO n )rtOli Cia polis Ejlnpo08ev KQtaKOpiH)OU jJet~mou iifte t luPovitctal rddro lKavonolll-rIKi] Tn KUPUUTtpO OUjl1temiddot pao~atu Tfle gecopiac 00 Sainrtou elvu~ (tbpound axtbtOV 26)

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(pd + pol (ho - HI II ho + d

11 bt UItEPUro(JIe KOfQ Tflv OlatUpax1lv TOO t1tlntoou flPEl-dae Tfi C SaJcioone npo toD KOTQKOPlxpOU JJoamptomoo e[VQl

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To Oeurola tie pall~t1c nOv moewv TOO -U~UTOC Clapnlis tni KOmKOplxpOU IlEToonou TjpEuvi]6n KOt uno 1tO)AOUlt 6Alouc tpwVllf(l KaS oOov 1) olJvajlllol KpOOOle fampv KUJ1UltllV We t1011 poundl-ojlev avaCPeuroPEl cic TO npOn)OU~EVU KEcpUA01a tSn~Oup~ )l1OpoundV QPKtra CTTl~aVTIKa npo~lfll(HU fa 6noia 0Ie1T1CTtOO9Tl ouv t600v ete tnV IpUOIV (SOov KOt tnl ~OVttU(rJv

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1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

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bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

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~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

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TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

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d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 21: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

455 10()10lt 1970

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O H ~euroyiCJtll EleurotlKn nleurom~ Pi EAattoOtal npo~ paElo~ tOCJOV

nSPlCJCJOteuroPOV apa6E(r)~ oCJOV to CJXeurot1KOV paElo~ ~ jleuroiOOtai

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6ui ppaxea KUjlata ltoL lCujlata jllKPOO jltiKOU~ at mtCJeuroI~ dVaL YI3VLKroe jleuroyaAlmpa

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CJt Eav 10 a6Eloe toO uoatoc dVa Ol1tACtCJIOV toO UWOUC K0shyjlatoe (2H) Kai Mv 0 noolt 100 Ka1aKOpucpoU jleurotW1tOU euroIVa eurole paSoe jlEyoAU1EPOV 100 15 H t01euro 10 EPYOV Mv KlVOUVeuroUeuroL Ev 1OUtOL~ apyonpov 0 Gagli ~1tp61euroIVE to P6Soe 100 noshyooe 2 - 25 H Kat 1i1v l)1teuroPUIV(r)CJIV toO poundmnEoou tipeuro~iae ho = 045 - 065 H Aqgt E1euroPOU Oleuro1tlCJ1wEl11 uno toO Gagli On uno ropLCJjlEvae CJuvEltlKae 10 nAa1Oe Kat t KALme 100 npashyvoO troy AISoppmlilv npocrtaCJlae 100 nooce Mv poundnIlPeuroaOUv Kat ouMva tponov 111V ~vtaCJlv tn 1tATlseuro(r)e

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0 Minikin npOteuroiVeurol poundnt toO SEjla1Oe 1lilv mECJeurocov 5n 01300shyjieurovou toO 13woue toO ovaKA(r)jltvou K1gtjlatoe 2 H jllu npuKnKTl AUCJlC 100 1tpOj3A11jlUto~ 1flc OUvajllKfl~ emopaCJeuro(r)e troy naAjllshyKlilv KUjlo1(r)V Clap otis poundnt KataKopucpoU jlEtW1tOU Elo 1110 vo SE(r)PtlCJ(r)~EV on 10 KOjla poundv poundnacp~ jleuro 10 Iamp1(r)1tOVovowoOtat de UWOC 166 H uneuropoV(i) 1fle 1pEjlOU poundmcpuveurolae

H owcpopo dc 10 I3IVoe KpOUCJE(r)e ~ElUlu Sainflou Kat GaglishyMinikin euro[VCLt oCJqgtaAampe CJllj1OV1lKTl

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y H jleurotasU toO CJ11jldou jlIlOeuroV 1tl~ mECJE(r)e Kal tflc ~euroY[CJtlle 1OIUU1Ile E[e tTlV EltLcpavuav 11pEjliae tl nfECJ1e jlElUj3UAAElUt

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~56 lou)lo(j 1970

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(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 22: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

~56 lou)lo(j 1970

toltO TO OUviSPIOV toov Bpu~U_(jV T6 19)5 6ne~aOlaE tnEshytlKWC ~e Tliv 81(Jvo~llv t6)v 1t1 EOI(J)V Em KUTUt0pUljlOIJ ~flWshyltOO poundvoe KUllaoc TOO 6noiou TO ptjKUlt elval jlEyUAO tv 0((0pound1 Ile TO Gwoc Tot) l L 20 middot_middot 25 H) Iwi TO 6nutuv SLlzSO~tlll tvtOr v8ato~ tou 6no(ou to BuOoo elval UPKETpoundC poundpapEC IJEyashyllrrepov toD OW-oult TOI) KU~l(l tOC H 6tl

CJ H pcyfltTll 1IiIUl acrKpoundTloL d tily OT69IlTlV Til lJPpound~IOUshyatl~ tltutgtavda~ Kal dVUl La1 npoc Tflv USpOOlanK1tv nlEolv tl1v OqlEIAoIlv qv EIC t6 UIjfOI TO) KUllaTOC tile dVOIKTi) 9ashy01] (H)

a Ktn wgev TijO flPEJlOU011~ tnupavetuo 1 neolC naHO)WI

Toil 6j10 lgtlt wi) KUjIUtOC 1topalJpoundvevtoc crm9Epnu A6YQl 6pOlC rftt apePQI6trlTo~ topound) noaoe-to) jI CIWOEWt 9cwpcltm On n JWftOTTJ nLcmc ell to tdttEOOV Y1PEIJLalt oluTflpeuroTTQt rHuOepcl 1t-lP toQ 7to86~ t o i) ~ETIll1tOU Kal

-y Y7tlp6vm ttl r pelIOUOI1t Ef[HPUVEIac 1 7t[EOU nUTTOOshytal Ypa~~u(u)1i JltxPI )II10EVlOjJOQ (ovrlcrTOlxoDvT~ d TfIv KOpUq)))v TOQ Kil~at~) Eil eva VIV0C 15 H U7tEPclV(J) tOU tm-7tEOOll ilPE)1iu~ 0 Ki1hl KIlT6mv Ot(OPl1tlloOQ u1tolo-Ylo~ou Ih 6p91u Ku~mu ooPIOIUVOO Pa90ult Kut )Ie PliolV tIV ouvashy~IK1iV aUVUpTI10W KUt6 oWcEpav npoolY-YIOlv t~jnaE )Jlav tiOOlOIV crXEtllliv ~f t6 oxfi)Ju tfj~ SnltpaVElDi TOQ KU)Jat~ rlapoLis fine O(OI Tilv ~rylaTl1v poundKtporrnV (ihvoC KPOUOEOlt) UV0l9cv 1013 B1tlrreOOO pe~[at tnt tol) KUTOKOPlxpOU ~ET6)1too Sui TIi l((ltlllt-tP6) oXtac(it

HK = H + Jl H I 3 + 19hfmd ~veu rnI L tKh~lIld

0 OG Biesel oiof1 010 T6 uOT6 ltU~ 6vw UjIOo KPOUO~ T~V

H i I Ighmiddot tnd I I U - Igh md ) H = H + - 8shy 19 hl Hid

T U 7t (l 0 Min i k i l 0 Minikin upoundatoVf~ Ku9upwo 9EWshyPl1tlKWlt T6 1tp6PAf))JO n1c tipaocmt wi) ri)j10TO~ t 7tL KOtClKOshyPUIpOU ~ fiTWitOO XPf)OljJ01tOl6JVtCl~ Ta -yvroOt6 OtlH(Cto TOO KUshy)IClt~ L H T Kui C ili~ KOt T~V t 7topumv poundnl t(L) v tposhyXUllv KlvcrEWlt t ltlV IJoplwv Otov t6 JCOjJu jJEmoioEtul d~ 0shypu9EtC nu9J1Evolt il1toAo-yi~F1 trv oVtP)CIUV iino npoJCtlld Trlv av6rrtll~IV T(()V jJE-ydAwv mtoEWv ~ IOTOO CJlWri6v n S tou -YEshyvEalOup-yol) KUK)OJ cLtatvo h KOJCAoEltioD (tPOXOEIO(iU) U~DtOC IJf]KOU~ 2l ~OmiddottaV 6 Kudoo K1VTl9fj btl 6pl~Ovtiao unoshyoTUOElIX X10 aTljJEtov S Sa atpucpti JCOtCt yugtvu a WatE

x a I -= lthE dx= -daT -- rr

Eav u ll tPOX10Ktl tUXUtTl TaD ~t6 Te 1) 6Pl~Ovriu tClXVt ulnoD Elvul J COS a E6v 9euroOOpr0l11JIfV Ku t ci tllV jJEtoJCivl)crt v

(Ix aU110W tf~ jJu~Tlo KDta p ~ ( p - nUKv6tTlo u-ypou)g

fMc f OTOIXUtMTl~ KIV1tIKti avtP-YElU tii~ aTOIXEIltUOOUo jJoshyCI1~ 00 d VUl

pdxdE) = ~ utcos1o =

JIQ OlcLlpOPO ~09TJ ~lctu~u)16)JEVQ JCUtu upI9~11t1KiV npboliov to lin Ih~ YVulatb v tAutroDTUl KUTU YEOOjJETPIKtlV JCot OuvEnw~ r tviPYpoundIU ti~ tl ~uOOO El VOL

E = n-phln 71 4

CEv9u h n 1 OKri ToD YEVEOIOUP-YO[) rodou et t6 fli90 unoAoYl alJ0I1)

Ed v TWPU xUI-CIfu11HV ttv KOjJmJArlV E71 01a to oUltpopu pe9l) tOt e to poundI-lPali6v to nlpIKAelO)JSYOV jJEtulil tfi~ KOJlmJATl~ Emiddot Kalto 6110 tow ~oRwv lttnoTclri tV 6AIIoTiv t7Uopaaw tOQ KUjlUTOr tnl toD jJttwnDu

aVTIOTOIXllf e tc TTlV KOPOtpnV aUTO) Kui c5n 1 tvtp-YSla BAQTshyTOUt UI TUth(l( ~I iml TOO ~(Hk)uc

Eov cciJpu OCWPTtOCiJ)Jcv ()TI 1l tvtpy(1U OOnQvtiT(Il liui tiv oujJn[tolv poundv6C OtPOOjJU1U MpoC nuxOtx t onC) do nv acwmiddot p[uv toO Bagnold T6H l

prrh PIl1 u = - 4shy

Kntu)l)YOjlEV OI1Aooi d e 6 crupntpaoo on ll tvtpYSIO 00shynuvft TUl etr ~vo Itpyov bUVoptOl r IJETaKIVOUjlEVf) Kato evu ushy-yVWOTOV IJ fpm nppoundm1 ujJw~ vU yI(IJpl~W)JEV noVTOTE UTI f vo IoilJlQ OfV ElvUl ~ia np6 TO J[poow pon VOOto dAfU TtpOOSC Tltil KUjJQVol~ ISOTivOlV jJopinlV JClVOU)JeuroVWV Ertl KIl9wPIO)J ishyvmv TPO(U1)V ol6nolo~ JCOTUOtptqgtOVTUI OtUV TO JC)jJa 9PUUETOI

Alu vu nllpOKUpjIll 6 Millikin tTv ouoKoAluv npooamplOp IOJlO) toD t aOVlOUaOE t6 nClpalJOtll TOI) ungnold jJpound taO )JStprOtIO TIJJV Rouvill e JCat Pelry LUig-gi Kai Uagmiddotli

TO JCUThlTtpw Oll~uia cru)JlpWVIUC lCui olalp0p0 PftCt~u tOtHOOV dVUl Oll)luvnlou

I MEyaATl~ 1tleuroOSltOlt tnto paaEIO oullPalvouv Eio Ol1jJEfov TI toi) 1tpoopuAOIJ6VOO imo (O) KUIlUW IoUtUIo0Pl)(POU jJETcimou

2 ne~pujJ(1ru hi JIovTelAou EXOUV poundVtoniafJ tTlV nlECJlV toushytTlv QKplPampr i rltt pavw TOU TlPE~O)vrOo pound7tlnt6ou JCa( tlo ttlV KopuqlllV TOI) IoVjJUTO

J TIeIP(J)JUtu tv ctl qlOOf1 bClloWOUV EupuTepov KUroVOIl1v TO)V IlE-ylOlWV nteocoov an6 6Tl tnt jJovceAAou 6)0 tVToJ[i~ovt(t1 nEpt to )Jpoundaov (middotninroov ~pE~(Ut

4 nEqxijJlltu tni 1J0vteAAOU )(uO())o Kal EV TfiIpIIOfI OElKVl)OOV OTl unuPXf1 tOxEiu UaH ooO t til UOKOUjJpoundVl1lt 1t180EWlt tTtL taD UCToonuo KUTul9EV tfi~ a(OtCO C tf)o JIqicrTTJ~ 1HtOc~

5 TO 1tElPOJlUTU toD Luigg-i ev ttl ltpiloEI oE ~JCv0ouv )JlUV notu IJIKpoV npo TO livro EAcLttwaw Ti)o 1tleOEOlt tni tOU IJETltUnou tv Tll1tEtpa~taTU Ent jJovteAJw1v OllCVUOW 0vt19ilI1llt tuXETav UUlTmOl v

6 To tni jJOVteUoo nSlpallllTU oioouv at1lJavTlJC(L)~ jJqaAlgt-shytepa JlpoundYiolOo nl(crw unO TW tv tjJ CPUOEI ~IETp19Eio(ll tiv lCat fllCPOUOIo g pdt 6PKOUvr(J)~ oUjJlpooveL

0 Luiggi cilt gXEl lioTl tKtE9fj ttvOOttpw poundjJETPTlOE J1E-ylaTllv niEalV Olll H = 2l3 lrt J aptctol OpoundUA)OI oUjJntf)tAaJIPaVo~ ~vou Iout tOO Stevenflon ~rouv IJpoundtP11OSl avtlotoixoo nl~shyOEt O[ Rouville lCUt Potry (~lttOf)oav maxp = Gtjft2 lAAU S1( vwo II - 8 ft

yenEPEOVOI ~hEax9Etoul jtEtO Tilv JCoTUOIpoltpilv ltI)p tojJevwv t1))JIlT09puUCTtUlV Uno 9pC100~Livoov KUjJtT(OV El)fIUV 6tl jJio ~euro(JTl nleol~ 2 t Irl ~lIi oOKA 11POU tol) npoaaaloJlsvou Jumimou dvol aPKttll BIU vii nupuOuplJ to pound1l1toa9Iu 1tEtpOOw IJata tot 1tp(oJlUtOo topoOfW toQ McilAou H jJq(otTl 1tipoundOlo poundv tOlUUtll ncplnTooon rrl)~ m1 WI dvclI olnlooio tfjo uvwTpoundpm iitol t[t = 43056 tim

Etvol yvwot6v 6n TO lCUIJOTCl rnl JCuJJUto9puuatlllv 6lo npuav ()J t cl1oolJCOUo f TlO)v O-ymiddotbullbull)ALOou~) 9pUI)OVtaL Ku9 6AOJCAl]shypiav poundVtP pound1tl JCulJl1t09puuotlllv jlt KUTCtK6pucp0 j1t Twna 9tshy)lpoundA1U1Jltva poundnt ~690uo toU)OlICTTOV iOou jJt to Jtt-YIOtOV GIV()~ tOU JCUJIUTOo 9POUOVWl j1EPlltltUC ft KUeOAOU t(J) 600v TO ~a90~ topliCJIOl toD MwAou dVOl j1qaAo

ElvUl 61l0l0 ~tkllo v 6t1 o MUlAot ot 6Jtolo1 ClOUV 000 apxnv tilv ~Tl pay Kat rrpOObEUTlKUJ~ rrpOXu)()OUV Eto ~u9i u UOCltD ucpishyOT(lvtOt trv tniopocrv 8PUUOptVCilV ilLlIJUtWV 0160 (j) rXOIJrv ti~1 aVUCPpoundPEI Elc t6 Kfltp_ 8 t o Io(liOl~IOV pu9oo 1t1f~~tvoC l vOu 8PUUllVtOl to JC(JIlOtu dVUl 1tlplnOO toov jJe TO OIflO( CO~ lCilshy)JatOO Elo to ItpoundAoyo~ f 6tuv TO Ki)Jla 6nOl(tTWll I1ftK~ toov rrEpi1tou npo~ to 7nIJl(1tOV TOil uV()U~ t01 H Tuxnto AOI1tOV jJEtOfOATl toO ali90u nPOICUAtT tilv 8po(knv toU KUjJatOO

Orov AOI1tOV TO lCOjlU un6 aeu nueurolpva 1tl IlOIUOU TO ~aaOo Tf) tOpliOE(()lt tOC) )JOJAoU (Til a((olov 2~) tOTE pound6v d = n nptm l t6 Iou)JU va 9pooOpoundltl JJETIlCU utxlJilC 7tpovoQ~ 1l90pptshy

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 23: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

457

= ~ I ~ 1-+ ~

ni)v poundOpaOEOOC tOO )lGlAoLlKai lOU I(IltCLKOp0 cpOl) ~II TW1tOlJ oUtOO EUlpound1t~ lntepaVIJ) tGgtV At90PPl1tGlv e6paOCWlt tOO M OOAOLl ~atoo Kat tiv d gt H QAAa d lt D o[ POlloi lltlvroecoc r(i)v )lopioov )lpoundta~)Aovtcl ano 1tpoundPl1tOu KUICAIKOL Et~ tUEl1ttllCdC OOov ot to paaoe )lEIO i) tClt oaov 6 )Ifyac a~wv t 6)v tA) ti~twv aushy~6VEI

rpl OEV 0 6 C ~ l gL ~= rf5 1 252 LV 2TI 12

Evea f = V~ = OUVTEApoundOTllc ~Xwv tac TIlJaC 01(1

d L 005 010 030 O4() 050 l 055 075 092 098 100

Iwi d L to poaoe toi) OOOtOC Kal TO )IfICOC tOO KU)lat~ OVtlshy

atoil~

~Olav A01lf6v t6 Idraquo)IO J) llolci~l] to )lEt(amp)1tOV ToO )lroMgtU ampvOa

to f)o9oC elvat )ltKp6rcpov toO - ~ t6TE rei L 1-1 Kat C TOO 1(6shy

Jloroc eo )l 6TQ~ri)AWVtal KOL njJeuro1tEI Taigtra vel npoaaplloa900v no6c to vtov paOoe tvroc Ppaxdw CrnoOrQotoolt (noooOTev tL toO L) onon do lEtQI30AT] 90 npE1tEl va npoKaAtOIJ to 9poo61lpoundvov KO~Q H tOXUH1lt t6tE TOll I3a90repoo t~T]~OtOt tOO ICU~Ot Ot 90 dVOl al1~OvtIICGllt ~IKpOttpa ano hEivllv tOCl KU~Otltgtlt Enl ~geot uoatolt K09 ooov to npto~a EOpaOEOOC tOO ~6lAOU npoKOAEt tnll3poouvolv toi) ICOJjOtOlt 0lt tIC tOUtOU to [090t d tnT1P6~tt til VYEVpoundCHV tiJlt 91000poundlt0lt tOCl ICu~atolt toO npoEPxOJlpoundVOO tIC 130900lt D duvci~lamp9a kOl1toV vo UnOAoytshy~W~EV ICata npoo-hytOI v tilv 1QXUtlltO toG ICU~QtOlt tn toO

1 D - djJtt6mou lOll V npolt C = ~ 2 g

H IClVl1ttlCfl JI~a flnpQl(aAtaooo tilv an6toJlov nEolv brukoshy-yio9Tl mO to) Bagnold pound1lt pK Kata Jjovaoa tnllpuveialt rot poundxouv ovacpipu oVWtEpw ICai I JjpoundyiatTlniECHlt Elvat

npc~h Pm) - Po = - -l shy

middotAIM KOta rlv tpOXIOKIv eEwpl ov 1) euroVtp YE IO umAoy io911 Ellt

Ttpll 4t

010 CI = Dg t61pound 1) = 4lg (~-) h

At Buo Aol nov eEWplal oOOXti~OVTOI ou1 TOO nopa-yovtot D

EOv I5t A6[kll)ltV OTt 6 4ItV ott Eva K)Jla ~111KOUlt 21 EVtOlt I3ashyetclt uBatot 9paoEtol pound1lt [o90lt d t OtE OUJlIp6lVOOt npOlt tfl V I(UICAoEtl51j 9EWpiav to lJilIColt avO-yuat poundilt nd

bull~ tl( tothou Elc to oxflJlo tro v AI90pputllw to 6ptOV toO poshyBooc OUVOtOI va ElClppno9tl ~ 1 M~ totaUtllV alClOAo-yfav

6 Minikin t~irra-YEv Eva t unov unolColhCTrov1o tOV tunov

ro) Bagnold EIlt TOV Imov TOGTov n1J pound-yiO IIl nipoundO te ampioETat

_ ~d 2h (0 d)Pill t tD P g 2

i] onoia OUYICPevollEVTl IJE TOV Tl)1tO V TOG Bagnold

211 iTIld Pnl - Po = O54pC - [- ol1l1a ivEI Ott TO UD

a 04 bull 6 naVTlICO IOte) t OV - l- lCal I npaYJjOTlKTl raXuIIllt VI lt vashy9~ uBaTOe OVHICo910Tarat a no tflV 9ampWPllttICijv JlEOrw TOshyXUT1ta fI 61toia OlpdAETal Ele to o x itJlQ tou K0l1at09pOUshyOtoU tot) m OVtOt tvamp OUVtEIeuroOTOO XpTlOIIIOnOIWv 6 Minik in roue 6polk tG)v (ivw OXEOampWV Pm ICai Tclc OIUOTaOampIe toD JlOV[EAAOU TOO Bngnold E~flyaypound olCi rflv J)onflv ICp00shyOEWe Enl rou IJETcI)1tOU rcigtv ICUIJ6 rwv TOO JlOVtEAAOU

I = ffid_ 2h 1 ]) [ d 2lD p V 2 g

Ala m = 2 Ol tllJot poundoJ)t9I1Oov tK TOO avwTtpro tunou I va CUJlCJloovoClv IJ t lflV 61otonwOIv t OU Bagnold

did m = 2 yo tmnPXt l Eniol1e OUlJlpWvio OTav 0 = 22 Kai d = 12 11amp ta 1taAJlOypolpijlJafa Kai toe nIEOEle tae Ono tc v Rouville Kal Petry pound~ax9ampvto Ellt tnV dltnn

d UvOIIE9a )o mo v va Xoll OllIonOI ijOw~tv de til v IJllXHV 1C0Ta npOOE-YY latV tO V tUnov

P = ~ltD pHg ( _ D ~ d )

middotOnol) H = 2h TO 11woe t ou ICUlJaTO~

L = 2l to ~~KOe TOO ICUllome

H tEAEUtCpound(O pound~iO(lOl e OUVata l va ypatp~

Pm~l9d (I ~) ~ nne oVtIOt01Xampi de lflV ot69~llv toO flppound~oi)Vtolt EnlntBou t~lt 9aMooTllt

~Avoo9poundv tlaquolIICOtw9poundv t~e Jlcyiat nt t o Ewe Pm 1) nieuroOIC 11amp1shyoOtat tOXEOOlt (rot ox 29) KOl lJoEvl~Erol ampIe (hjloe Koi 13090lt

~ poundK taD poundn11tEBoo oE~LOe TOO TtfA6-yOUlt ~ltpoo~tvou

-OCTE to Ola-YPOIJIJO abCa noplCJtc) tl v 6uva~IKil v lIiEOIV hi H

TOO JlEtWnOu T)tU Elval rOil ICOto npooEYY lolv npOlt Pm T

-Av 0amp 9poundOOPtlOWIJpoundV Kai tilV uOPOOtOtlKflV ni ampolv tr r g ia 9poundWPOUVTElt Ott OUtll otv tICTtiVpoundTOI EIC OWDc nEoIOo6tEPOV toO

~ T6tE 1) ~ampmiddot[Otll niE(lIt poundie tflV CTci9l1llV Tjpe~00olllt Bo-

H Aoool1~ dVCll P2 Kai fl OAI Kt t lti tOU IJ E((llItOU

FH (d~ )2 4

-EXO~EV 09EV ft)v Jl EyiOtIl V nipoundolv hi TIl t oT69~1llt tOv IPEshyJloClvtoe htnMou IOIlV np6c

d) H pH maxp ~ 29 ( 1+ D L + - 2- EI~ L fL

Kol T1V OAI KTV TtiECl V ECJl OAOU TOD 000lt toi) ~poundtcllnOu iOI1lt-pO d) H H ( P = 096 d ( 1 + D L - iO d

(-r6 P eurollt tOvvoU avo n60a ( ft) tfIKO Ult McIlloo)

H nicole oiitll nopiatotal Eie to olo-ypa~lIo oui toO t~I3ooou fIle neoIICApoundIOIlEVIllt uno Tfje middot J)aJllll~ aqvgja EntltpavEi oe

Env to ~poundtWltOV wO ~WAOU EX(l KAfOIV tgltp EV OXtOEL Ttoolt fTjv ICOtoIC6pulpov I(ai np6lt r6v At~EVO t6n fl 6klICT nieole rl

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt

Page 24: library.tee.grlibrary.tee.gr/digital/techr/1970/techr_1970_7_529_435.pdf · 435 rtv£olC; Kal• TCJV . 8aAaooiCJv KUI.IClTCJV "EJ.lf'ov. K. AaaKo'\iuc'l';' • H . 7laeO£iao peAiT1}

458 TrXVLKcl XpOYIICQ Iouhlot 1970

6CPEtAO)JEVll de tTiv OOVClIJ1Cllv SpaOCJlV 10) KU)JCllOC elva

H bullP1oc- PIII Scoscp

~lCi tTlV tqgtClPIJOfT]V toO fUnou nvalptpolJEV on tcp ooov bti tnU npiOjLU10C rGv At90pputG)v eBpaot~ tOO UilAOU Koi tv btClqlfl IJpound to jJpoundtlnTtOV fmiddot10U t07to9et19f1 Texv 6Y1(6)L9m npoot(loiac 11066- tOte to UIpOC d 91l1lJlI3uVTltcu unO tflc OTUt)llllC 11jlE~LluC tilr OaJuoaTIC I-IfXPI tfc UV(iJ truqlClvpoundiw 10) TEXV (rKOALOou Erdall btl ettIKAvOJV 1tUelJ~VWV Co 6690lt D ail ACl)JPUVTJ1Ol de OnOOtClOlV 6n6 t oO jJamp1Omou tOllv TtPOc 20 25 H

10 dLU tilv XPllOlIJOTtoi110W 1to)Jibv tK [(by QV(lHpoundPro r)nUlV napicrtU1Clt tlVUYTJ )JEOlponJr 1OOVoyyAOcrruroVlt(WV lJovubwv Ele to IfXVLh6v aucrtlljJO cnR Kal npo 6umcoAuVOtv tOll IJpoundAf rrrWO napagelO)JfV llie lCatoo-repw oxtmtc

1ft _ 01048 m 1 m 3281 fl Ut =- 00929 ml 1 mt = 10764 ft

JHI 002HJ 17 In~ I lila 35 3J 5 fl lib O45J61(g 1 kg 2205 Iigt IIb middot1t OI3825kgm 1 kgm 1233111 middot rt IUl 1t 144811 kgm 1kgIll 0h1197Ib fl IIb ft = 4882 kgm 1 kgJm = O204816Ib fl IIbrl = 160185 kgm 1 kgm~ 06242811gt flO

I fl V 1un ll The 01lll1Y l ave Theor y and Ita ap ll1 lclttltm lU Surf PIf)fjlllJ1l9 1II1als of tbe New Y ork A IllldclDY IJr -(III~

(1It 9)

J larrolJ bull bull COUIS dtiydraull que ulilriUtnr tI tit lravau) lIHllishylirne (HUH)

J H Pr(lf4 Sltwa--m traillln und l t llafn (l) ti Lj

11R 1111 1 W l n(l1l wav-II a lld 11I l rl limal j lTuctln~ (I ll1lil )

f II ~ COrH eR lloCk aud II arlour Engin(erin ( 1gel )

Formation and action of sea - waves By Em K Dalkalakll

Summary Ill al SUllj lct and

In Ute Im~SQ III paper till tor-mali()l ]l1utagaLiun and b) the r t ) ull ~ and concJu ~ iC)ns reached Ihluugh expori action 0 spa-wa ves i~ studild secording to 1II1 11 1$ under n o llIl[ 1 condilionli and in mode ls by th o m~l a) the most important and up to dale known theories on siglliforant reSeClIlhefS

bull Born In Tta Clion Crtl te 111 IllS0 Til 194 g raduated rrOin 1110 1i3~ t lolwl j tili ll i(al l) IIIVBrlliI ) M A thelLll Im Lhe JlllsL twelve yetU~T he lJi 1 gt(Ir ked for Ull I r aclJon HarrIO( Comru iLt fc OCl1IPfl nc tlk po~itilJU UI Chief 1ngtneer I12Iponamplttlc ror til e d~IJn an d 5ur~~in ll of eO llstfllclio li Qf f( ar hilr WOrkS He ba~ IlrSY1I11I Ilud Ckle uhtf d hU e- ro11 and e Uernal milrlWll r WOdt) (jcttlc- wavtlJreakcr wit h n rllc lil 01 otJ lh)ue fOlI t r(t ) of bul1 ged or [00 1Ilillioll S H o hasshy

h n )Ino thu lllJ lHrvlampOr engluet r 0 11 111(1 cuustrllc liun nr 1 p~l f t or lbbull ahove tu fu Uollell w(lrkll or a bu (gfO )ldgtll Of 2un 11l111l0flll li e ball tirvlatid bull Uleorlllnlk l U1 1i1 1Lr11 ~ r of llo t lparth1lll a kl e lll middotu la illm o f M arlshytlllI e oolslruallolla Ulultr til l 1 11ft or F tr tLH1 1 ll k~ iutlu el1 l t 11 I iald shyII ll -fll l NtII nc i ll hlr lKo ul Iorh T il l paper hal ~II hlll)IICllltll 111 1 ~ tmlCa Annab 01 9 HHl lt