44
THE EFFECT OF S PUR DIKES ON FLOOD" FLOWS THROUGH BRIDGE CONSTRICr:IONS by John B. Herbich Paper 'Presented to the Amer.ican Society of Civil Engineers at Boston,Massachusetts on-October 14, 1960 Hydraulics Division Fritz ,'Department 'of Civil Engineeri'ng Lehigh University Be.thlehem, Penn'sylvania Laboratory· Report No.

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Page 1: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

THE EFFECT OF S PUR DIKES

ON

FLOOD" FLOWS THROUGH BRIDGE CONSTRICr:IONS

by

John B. Herbich

Paper 'Presented to the

Amer.ican Society of Civil Engineers

at Boston,Massachusetts

on-October 14, 1960

Hydraulics Division

Fritz Engine~rtng"Laboratory

,'Department 'of Civil Engineeri'ng

Lehigh University

Be.thlehem, Penn'sylvania

FritzEngineerin~Laboratory· Report No. 280~M-16

Page 2: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

THE EFFECT 'OF SPUR DIKES

ON

FLOOD FLOWS THROUGH BRIDGE CONSTRICTIONS

by

JohnB. Herbich

Paper 'Presented to the

American Society of Civil Engineers

at 'Boston, ,Massachusetts

on-October -14, 1960

Hydraulics 'Division

Fritz Engineering ':Laboratory

.'Departmentof Civil Engineering

Lehigh University

Bethlehem, Pennsylvania

Fritz, ,Engineering ':Laborator,y' Report No. 280 -M-16

Page 3: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

Tmf':''1£FFECT OF SPUR .DIKES,! '. ',' ' , . ' ,;:::.wo

" .Q!FLOOD 'FLOWS TmtotrGH 'BRIDGE. CONSTRIOT'IONS, .= .-

: I 0 . ',I~'~,ODtJCTION

The h:1gh~ayengin~e~isoonfronted wi~h problems

of.·de.slgning bridges II 'culvef.t'S ~.. and other structures to .

,handle flood., flows 0

: ,', ·... -..4

no:rtheas'tern United Sta.tes caused by floods of' 1955 9 were

condu,(jlte~.8:nd people began t.owonder if washed=o?t bridges

an4 floode~ roadwaysll und~rm1nedou.lvert aprons ll and other

e~1denoes of flood damage were really unavoidable o It now

appears that much ,of the damage. could be p:revented by

pro oper, .' d~ s ign ~ . :'., ~

In the State." of 'Conneoticut alone the· damage in

4ugu!t and October' 1955 9 amounted to a.bout \$309000~OOOo

Fif'ty, ,per cent, of th:e dama.-ge was on Sta.t~ bttid-ges and• I.. ~. .... '

.'ro~d~.~. a~d fifty per ·cer;,t '.on Town and C'1ty bridges and

roads 0

9 - t:) -".c::J

* AS8oc~ate Professor' of Civil Englneering~Chairmang Hydraulics Division p

Department of Civil Engineer1ng g Lehigh University

" '-'.

Page 4: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

2

Because a large percentage of the bridge damage

CQ11]~d. be attribtlted to failure of foundations caused by

scour, the present study was initiated in 1958. In the

past, the bridge superstructures were designed meticu=

lously from the structural point of vi'ew, while the hy­

draulic design or piers and abutments was based on the,

nr111e of thumb". Und~rmining of structures beca~se of

scour is still very,~uch lof a problem, especially with

the present trend towards, high approach embankments to

bridges, with consequent deep flood plane flow o The

main difficulty with the existing structures which were

built 15~20 years ago, is the fact that these bridges,

in 'many ca.ses, contracted the ;'flowie.xcessively. !,' ,

Scour is also noticeable at the piers and abut­

ments of bridges which are badly located, and espec~ally

at points of severe stream curvature, reSUlting in deep

scouring at the outside of the bend. Answers to all of

the. :trr~)bl,erns tn highway hydra.ulics are not at hand. In

perhaps no other field of hydraulic constru,ction is the

desi@1sr so handicapped by lack of knowledge of the 'basic

fa.ct'ors, involved. HOlaleVer, some progress has been made

during the past ~ew years in studying the problem of

scour around bridge piers and ~butments.

This paper deals with the efreet of spur dikes on

:Clood flows trlrOl1g"b, bridge c onstri'ct ions 0 A Sptlr dike may

be d,efine'd a.s a projection extending upstream from the

Page 5: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

·COl 3,

., br~d.ge ab,utment' and .which serves to ohann~l ':t'he flow' of.

water smoothly .~t'hrough the openi~g between. the' abut~ents

(Figol)oThespur dike may allo pe. called a gUiding dike, '

"(.1 0 eo', .·to gU,id,e flow between bridge ,abutments) 0 ' The adC=t'

vantages of spur dikes are ~an,." .a:p.q PX'ope~ly ~eslgped

a,pur dlke~ would t ,"

(a) reduce the chanC'e1r',~"dr' 's'oour at 'b'r1dges',

(b) ,reduce excessive baok:wat~r,. '.

(c) all~w" a, greater const~ic·t~on 'than 'otherwise

poss ib'le,' or 'provide a more efficient

waterway 0

II 0" G:ENERAL C'OMMENTSi

The current practice in hydr'Qulio design of bridges

appears tO',be limited to, ·d,ete~m.,ining the width of constr1ot=

lon~ which wQuld assu~e mean veloci~y. below the soour~ng

velooityo 'The,constr1otiori of the stream causes conoentra~

. tlbn ,of flow' in' the vicinity of abutments,- resultin~g. in

'higher velocities, ,and eddyin'g caused 'by, discontinuities in

the shape or abutments~ The oonoe~tratlon or flow and eddy~

,ing 1norea's~s'with the iri.crease of, contraction (or i~ 'a'

function of peroent'age contraction',,: LolL' x 100%) 0 (Sketoh A) 0"

'In view of the format,ion of, zones of eddies ,adjacent'· .,"

,to the abutments,' the 'effec~i",~ bridge ope~ing ~s in fac·t.

!',e'duoed, and/'the actual 'velocity higher ,than the' ,desl~' v~lc=

'Qclt:r'~ In ,aqdition t'othe h'igher velocity n~ar the ~butmentsp

Page 6: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

"... ~ "", ~. l .t. • •

!". - -MI"... ~ ~ "I- ,..

,....

"

tqe ,c,ombinatlon of' high veloc'1ty and e'~.dy 'veloc'1ty. oause's·

soour, u~derm1ning of abut~ent~.9 and eventual,' failure,o· ..

Thus· two' possible ,solut'l'ons ar~' apparent to.·

. proVide 8. more effioient ~a·terwayo

(,a) pr,Qvlde ~o:r,e uniform v,elocity p,istribut1on

through the bridge "opening g

(b,) eliminat,e·, e,ddying caused by· diseont,inui,ties

i~ shapeot abutments 0

III o PREVIOUS STUDIES

The -earliest laboratory study of the problem' of

scour around· ,abutments ~as a report. written in 1894 byEngels in Germany~ although reference was made to pre~

T10us work carried out ·in FrB:noe by 'Dur.and=Claye in 187.30

The Enge'~s study, was conr'ined' to' narrow limits , however,

and no attempt was made at generalization nor predictiqn

of scour patternso

Inve~tigation in this field, seems to hav~ lapsed

for some years 9 a.nd it, was ·'not until· ,1949 that, a th~-oret~

loal approaoh .was attem.pted 0 The ,U oS 0 D~·pa.rtment o:f

A·grioulture published a paper ent:ttied~ FLOW THROUGH

DIVERGING OPEN CHANNEL TRANSITIONS (l)-l~. Also~ Posey

studied briefly the so·our around a pier in the Rocky

Mountain Hydraulic Laboratory(2). This was followed by

an investigation by the Uo·S o Geological Su~vey· on COMPU-=::I

TATIONS OF PEAK DISCHARGES A'!' CONrRACTIONS, in 1953(3).Ct, c::;. c= c:=:t c:=lI = Ca' '.=0

* These numerals refer to listing in the Bibliography

Page 7: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

A'fter the· disastrous floods in Iowa in 1954, the

State University or Iowa began ~nvestigations into SCOUR

AROUND BRIDGE P.t=ERS AND ABUTMENTS. This work, reported

by Laursen and Tach in 1956, was concerned solely with

scour(4)0

The first study on the effect of ~pur dikes on

the flow p~ttern in, this country, was sponsored by the

Georgia State Highway Department I) The model s'pur dikes

were made to simulate dikes constru.c'ted of timber cribs q,':

It was reported by Carter in 1955, that for spill~through

type abutments ~ 'a dike of length equal, too 0 08 Ce) (where

B = width of opening) at a distance of O.08(B) from the

beginning. of abutrnent curva.ture, and at an angle of 0°

to the flow, proved to be the mos t effie ient ( S) • No

other det~ils were given in the paper.

Following the August- 1955 flood in Connecticut»\

the Connecticut State Highway Department made careful, ")

measurements of maximum and average depths of scour and

obtained other ~ta relative to maximum high water 9 mode

of failure 9 debris, and channel characteristics~ A

formula was develope\~i relating the average deptl'l of scour

to the difference between the sediment load i~ the ~p~

. proach flow and the transport capacity under the bridge(6)o

Page 8: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

t·· . . ~ j I

6

~."', .....

Some studies' were conduoted in Sweden by Hartzell

and Karemyr where dikes w,.er'e used to a11gnthe flow and

secure a uniform velocity.between the abutments(7)o It

appeared that a dike some'distance away from the abutment

and at a 10° angle 1'11 th t.,he direct ion of flow, gave bes't

results 0 However", the tests wt?re inconclusive 0

,Colorado State University and Lehigh University

commenced ~tudies of the effect of' spur dikes almost

simultaneously early ~n 19590 The studies at Colorado

were, conducted in a movab.le~bed mO'del, while at Lehigh

in a fixed~bed model. 'An elliptically-shaped dike with,

a ratio. ~f 2~1/2:1 appeared to be most efficient in the

Colorado tests o It was also reported(9).that t~ depth

of scour at the abutments .is inversely proportional to

the length,of dike; It was also noted that the scour,

depth 1s a funotion of the percentage or contraction~

The'design criteria were presented for spl11~~rough

type abutment,s 9 and tentative guide for determining the

length Qf S'~pur dike was giv·en. In addition, a limit':;d

investigati~n was made for 45°' skewed openings 0 In this

part..,.,.of_._t~e .study, the depth of scour decreased with inc:J'

crease- of . length of dike in'" caS'e of downstr~,am skew, but

for the upstream skew g the length of dike did not seem

to have any' efrect on the qepth of soour o

Page 9: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

• ,.' 'tt'"

: ..~' ( , ,

" .....~> .

" \ ' ~ 1\ I. "

',4. I

t .~_, .. • • "_

,• :co,c,:,:7,'"" ..../ '. ."t • 'II.; • -=. } - ,,' t' ~ '.

1

-~,~.~~ 10./, _.- ,".>~,~', '.~"" :,.", ": '~'.'

, ~~.' :.,/' .,". "." '," >.'- 'J ',.' , '-,'

,"',~: .

' .....

, .~ ; • ~ - I, .~...

.. ,

IV,o '"Ex'EIUBtyw .., ., .... :,' '" ",','<',:

~ .:

~t ~ ••• ~+ ...,

• J~ • • • ~

• .'. rI' ' • ~ •• ~ • •

~ 14 .. '. ~ ~ '" ." ~ '" • ~

. .' Tbe ~bjeotlv, of the studT ,hali.b••ri' to'·.dete:r>.ine' ..:, ..-' -. ..,' ", . " _.". . " , .' '~';', " ','" . " . .' ,,: :, , ,. ~ '. ;."~ ..

, the. s1?-ape Iild' SUe' ot, dIkes. neo••sU7; t.oJ!lgener~'~lzed '

~~cU,tiOn.·9 conslatent' wlthflelci'c6ndlt1o~1o:The ' ~ajotec=> . ,. "'",' " '. . , . ,

.. ':1t7 ,ot: ~.~,ts w.~e'ovJ!lied 'outht,a ti~~d~bed '1110d~,l"and ., ;, .." " , ".' ' ';' ' '. "', • ',',' • ,'!' .: '::", : .

'.' . ',,' neo8s8ar7"" 'l1Ie,a_Ur~ment'l ot, 'd.pt~9·" "eloo·~t,.~ ~d ,d!_~,~,p,,',~ • ., • '.' • I

". I

" . :,'• to,

+.~ ,.' ~4o'

,. taken to permIt q.loulatlons 01' ·F'r'o~d.' :h••it andveloe:.·. "'.,' " "

,~lt,.dItJtrlb~tion in the vic biIt,. andb~tWeen abutments ~ '.

, The ]n'tnelpal l'ealon torc'oM~n~lrtg"the stucUe·s·· ,, ""f" " ""

on a'fixed=b.d model, wa,8 the tact,that 'th~problemor• • I ',t I. I ,-

.,," ...' ~ ..

.oourbetw.en bridge abutments ls.very. oomplloa1:;edone,• ~ ~ I • •• ..' I'

involving a great nuiuber' of variableso"In addition,

there is a quest~onOf "scale efrect," betw~en th~ 'm(}~ab1e.. , '. • It • •

• + •• • I

bed' model and' the prototype 0 Emplo'1"lent ~{,the' i'ued=bed '

. l11ode1reduoed the 'n1.lmber'ofvarlabies coiisiderably9

f"O'111tat.~· the stUd,.' 01' veJ.OQit7. dj,~tl'lb~'tlon'9'and' pri~~ .It ~. • f • ", • l..··

••nt.d,..~, ~uch' oleare~ "p1c',t~e of: the, :,etreo~'. o,r, Ip~:r-· dikes

"~ ot"

. - . . . .

(2~ Test Pacility

... :" '~!he ,tUk :..:hloh '''':8 available for' 'us~' in this ii!ltud'Y

. was' 35 teet .longs: 10 teet ,,14e I) and 2 feet 'leep, and selbved•• t't • • • I' • t .. ~ • •

.s the 'flood plam',acro,ul wh10h a, oonstrictioncould 'be', " . ',: "" '

plac.'d'o·',. ':Flows', up', to '4 ,cubic f •• t p~r s800Dd were ut1,11zed'~

, ,

.'~ .

" , ..;,

Page 10: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

~ I'

Vert1.,al fet't7~t1Y.- d..~,.~ 1I:fi'I~.lIa,11 ._·.~.nt.• lItt-••• l ..ote.~ .f.. '·tal••, ••,. ~ .. lfiie' r." .:er '1''1...... ~~

.tera:tn." t'r0~." Ve.tur1 '.etep, ,.,l'.1t1•• 'tf!tretU'''llir.ci~'. '\ .

11.11.~1 .. nli.-!.~" .mar••t,· ••t.~ (Le\t~.1'4 Ve1p,.1 I: Se,), aitA

___.,eiler tuter (Ott) •.

. ".( 3) :r;,,1.l,t:!·t·'1.n,', ~4- 4_I_MlU,e•• ,,'

<a) The J.oon~.r7 Iffeat of~Da.kwat.~.wa.'~.&11~

1'1.1. 9 am•••••1Q!•••t·· er ·"11'''8~t.r '.tt••t-'~.

was net ptJ.~.l. in .1;•• er tb.. 'RGbrt 1.Jlltli~ ,

er the ta.k»

(It) ,!the v1.atll of tr_~· .....", ".ltarett cl1lr11t_ tl,e ".

,.t..iy,

(.) 1'18. upltr...m ef the lt~lil. • •• t'-U.,t1'1l ·W.'k.,t ••1ew .r1t~:.'-.'1·,

• .:: _ • , ,'. ' • +'+' ; , ..... ., • I 4. ..' ". ~ .'; _ " •. ' ~,' •

(i) & cenat.,ntQrate flood. fin v•••.•·.um••:o

(4) b~11!2ieHZ, !~f;41~~" ~

Early stud,i•• 1mllui•• Tariat,lea "'.1' 1••1"}]; er

a.ut"...ta (Qt' ,erc.nta~. open1nl) atal l;l'_1a.~'I.. V.l.~

cit,. anj fA.,th'. tI.~ta were obtainad tor 81'14'1. ~.~<1nll

,with an. without d.1k•• 0 lux-rae.' ,ar-tl,ole p...t'b. lin••

were .eDtarna. :rre. l'hePG~apb.(10) •

(a) _ •• 10 IQ.a~

The baaic 1.... avolT.' plaoin, the spur

dik.. alene th. .t~.amlin.. to ~lY.rt

the flow am8oth17 tow.!"•• the a'Dutmemt

open1ngt)

Page 11: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

,9

It "lill be noted$ however, that the,· ,streamline

pattern varies with the. discharge 9 and consequently

'dikes would have to be constructed for' the h1'ghest. dis<=>

cha~ge» and assumption made that the dikes so placed'

would produce satisfactory flow. cond1'tions f'or lower

disohargeso The tests indicated that the dikes el1min~

ated the separation at p~int B but.at high rates of

flow g marked separation and 'e~dying occured at point Co

To avoid this oondition at point Q, very short

dikes ~ called Ustub" dikes ~ tangent to the line Be

were found to be very effectiv6 0

(5) General Studies

The basic study involved bridge crossings of

the flood plane at right angles 9 or 90~.degree approachlf

...~ c'<"'~~~e ,,~,1te~w. WJiilllln (F:i~ 4 2 ),rr",....•,,'~~!II'.~, ~_.

(a) Basic Ideas

(1) An improvement in the uni,rormity of the

velocity distribution across the opening,

a remo~al of flow separation, and a reduct~

ion of eddying~ reduo'es scour· a.t the abut<=)

mentso

(2) Spur dikes are designed so that~

(1) a more uniform velo~ity distribution is

achieved across the opening 9

Page 12: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

(11) no hydraulic jump 1~ formed' a'long the

abutments~

(1'1'1) no sepa:ratlon of: flow oce,urs- at ·the

abutments·o

(b) The follo~1ngwere·th~ test v~labless

( 1) perce~tage openipg (L/Lo .x 100%') 0 Data

obtained tor ,the following ,L/Lo valuesg

90°" Approach 60° ,Approaoh

.2209

3406

,490'6

+ ~,

2209

3406

4301(2), Length of, dike' '( Ld ) ~ 1,8<" i 27 u ~ and 36" 0

'( 3) Dike angle (ot),~

90° Approach 60o,Approacb

00, lOo~ 200 00, 1$0,' 200

and 30°. and 25°

VoTES'!' RESttLTS

. (-1)900 Approach . __ ,. __

(a) Figure 3 presents ~eter:, _~~~. dat~ .. (0:':. vel,oc1t,.) versUs• 1'-.~... roo

the 41st81'loe between ~butments, obtained for anopening or 22 o9:'lJ'. Data, were obta,1ned across the

ope~~ng abutments, tor a b,r1dge without a dike, and

'with d:l.k~8 of various len,ths ,(Ld) lristallec;l at'

DiJicharge (Q) was' constant tor the majority 'of ~est,s 9

'aDd s,tra,1ght q,~;kes, were uS8'd to simplify- an~l,.sis 0 Addition~

&1 tests invotved C~88 in di.cAarBe and ourvedg ;rather than

atra,ight f dike S 0'

Page 13: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

..'t

... -

-.• «,.

11

various angles (oe) to the a.butments 0 A ,oonsid~

erable improvement is observed in the velocity

distribution; particularly for d - 10°0

(b) Figure 4 presents data for opening of 3406%. Im~

provement is observed in the velocity distribu~

tion~ partio.ularly for DC :: 10° 0

(0) Figure 5 presents data for opening of 4306%0 Im~

provement is observed in the velocity distribu~·

t ion 'f O:J?..all ~ 9 S 0

(2) 60° Approach ~ Spur dike at downstream abut~

ment only 0

(a) Figure 6 presents data for opening of 2209%0

Velocity me,asurements were obtained, across the

opening between abutments along three lines~

A' (BF)". B (centerline)" and C (CG) (S'ketch C).

At 'Line A, a decrease in v~locity is observed

.near the downstream ab·utment.; but an increase

near the upstream ab~tmento A considerable im=

prov~~ent is observed near the downstream abut~

Iment ·$.t L-ins B fJ and a general improvement in

veloc.'ity, distribution across the abutment at

'Line .'0 i when a a,pur dike is employed 0 The

.pattern is simi,lar for dike a.ngles of 0 and

15 degrees 0 ' The length or dike do,es not a.ppea.r

,to be a.n important varia.ble in this case 0

r'

Page 14: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

·' ~ , .'. .".~'

... t ; .....:> .,11.

Q'12'

(b) F1pr,. 7 ,pr••el1ta data for ope.ina or 3406~o

Improvem.ent is oDserved ..1'0211 th.' c1owaatr'eam

,aButment at Lines ,A'; :8', anti 0 r"or d.lk'. anll••

of 0 ana 1$ 4esr•• so

(0) .Figure e pre.ent. data. for opening of 4'.'~. ·Improvement is ob••r.e4 aorosl ~h. op.nins

betwe'•• the a\)u.tm.ents at Line, • .A and B 0

Inorease in velooities in· observed near the

'upst'ream ..outme..t at Line C. Th. dl·ke with

a '15~d.~ee _nile pro(uQea Ililbtly lower

velocit7 al.nl Lin•• A and B b

(3) Curved Dl~.8

The majority of teste ••re oenjaote' with etra1sht

. ilk.a, to simplify the e98.rvat1.D'~ while ful17 rea11zin!

that curve. dik•• would ~...~. d••~a~l. 1m p~ov1'1nl a

,••1'_ .rti~1etlt T.l.~1t., cll.tr1~utlon·ani ,in ,r.T.~t,1nI,

t0r1U.t1ena of .tt1•• at the ••11 itlcOIlt1n-uitl•• ~ lome,'h .

t ••t. were oa~ri.t out with c~V.i dik•• ~ ani Filo 9 shoWI

that a v.~,. uniform ... loe!t., -di••r-lbutien,·ma.,.' 'b~',,;obtaln.do

-The <11k- was tanlent to tn. v.~~10al wal.l ·a\tutm..nt~ and.

had a shape of a" .plralo (_ketoh D) 0

-j-': " 'j: ',t,

.!. J~i •.J • I .'.t\ ., i

Page 15: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

: t/·, ( ..

,,'~'

~ 13

(a) _,Continuity 'equation o

VI 0 PRELIMINARY ANALYSIS OF DATA

(A) 90° Approach

(1)Q ~ V b Y

For a rectangular channel~ the continuity equation

may be written asg

whereg Q ~ 'discharge

V ::; velocity

b :: width

y == depth

By taking the natural logarithm of equation (1)

(2 )

and then 9 by dif~erentiatingEq. (2) the rollowing

equation is obtainedg

dQ _ dV + db + dy~ -. V- b· Y (3)

,As the discharge is constant, the steady flow exists,' and'

dViT"

Although in actual experiments~ the velo~ity and

depth were not constant' in the opening acr'os S, the abutments.9

surfloient data were taken to enable determination of aver~

age velocity and depth over Line B o

It was indicated in Sketch A that the effective

width of the opening is reduced~ and thus the efficiency

of transmission' of channel is -decreased o When spur dikes

are add~d, ,the effectiveness of ~Jle channel incr'eases a.s

the dikes guide the flow ,smoothly between the abutments (t

Page 16: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

~ ,r

,.J, I._ ~ i'oj. .

Let us call" the effeetive.width.'of,the .ohannel. ,

without ,s,pur dikes bo; and the eff·ective w.idth" w,i~h .spur·

dikes b~ The differenoe betwe~n the two widths ,may be

written as~

(5)

where ,n == measure of effectiveness01',

of 'the channa 1

Equatio:p '(4) may als<? be written in a differential .f9i~'mg

1

1.:.--:

~ ,+ ,& = = ~bVa Yo b o

where ~V and 6y s~and for conditions

after and before installing

spur dikes

sUbscript 0 = origi~al conditions

'Equation (6) may' be written asg

~v 6y _ (n~l)bo =Vo of- yo - = bo n

or

(6 )

n := 1 = b.VV

6y=::1-

Y, (8)

In the analysis g the differenc~s in average velo=

city and depth were computed 0 Since inmost cases the

installation of spu~ dikes oaused a decrease in average

velocity and a decrease in depth (FigolO)~ n was found

to be greater than one~ which indicates an increase in

the efficiency o~ transmission of the channel o The values

of n were plotted against percentage opening in Fig o 11 9

whioh ,indicates the following~

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'I'

(1) Fo~ the openings tested 9 the dike plaoe~ at

oC,:5: 20° yielded approximate'ly similar inQ

Grease in ef'feat,lveness ~

(2) Doubling the length of dike showed only a

s~all Incr~ase in value of n q

.(3) While for small percentage openings the'bene~

fits appear. to' be independent· of the angOl'e

and ~ength9 for large openings a dike placed.'

at ~~ 20~9 provide a more effioient 'channelo

In addltion p , veryh1gh velocities ,occ.ur at

the end ,of dike with etC ~ 0'0'

-(b) Velocity Parameter

One of the useful parameters in this study was

k' k° (V ~ V'S,' (vIJ,V) , '

found to b~ V J 8

where V ~ velooity in the channel

with: no dilces employed

Vs g ve lac i ty in the ch~nne'l

when dikes we~e used

k § exponen,t

It was found 'that useful plots may be obtaine'd with 'value

of'k 5: li2 g ' although other values could be. used. Figures

12 and 13 present th plots of' -V1],V/V' (named the velocity

parameter) voersus percentage opening and dike angle r'e~Q

peotivelyo It may be seen thatg"

( 1) The eff'e~t of 7d1ke length (Ld) is unimportant for

'values betw~en 18 inch~~·and 36 inches 0 As the

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16

openings between abutm~~ts (La) were 27 d 5/8

ina 9 41 CJ 7/'8 9 and 52~1/2 in'o SI the followiTlgf

Ld/Lo ra.tios:? 00652~ .q~'",,43p and 0 0343 existed

:for "Ld, § 18 ino

'(2) A dike' with c£ § 0° has the great,est Inf,lnenee

for 220.9% opening" while 'a dike w1'th ~ § 10°

has the greatest value for ab'out ,35% 'openingS!

and a dike with d ~ 200 for 4306% opening~

The averageinfluenoe the angle" ot is also

indicated in F'igo'" 11 a:nd 120

(B ) 600 APPROACH

· -rmYJ(a) Figures 14 and 15 present the plots of ~ In

versus percentage opening and dike angle»

respe'cti,velyo The plots were made for,

It may be, seen that~

(1) At ,Lin'e A 9 the spur dike is moat e:rfective'

at 50% 6peningo

(2) At cen~erline (Line B), the spur dike ~~~ '~.~.;~!~\ ~

most effective at,'t between 30 .,ano. 35%'~\,. !,~ r

opening, depending on the dike, angle ~

(3) At Line 0 9 the dike is most effeotive at

the: 2209% opening o

(b)·, It was shown in Fig o 8 t:hat using a spur' dike a.t

the' dow,ns'tream abutment improved conditions

near the abutment~ while aotually increasing

Page 19: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

17 ,(.~' .~ t

the velocities' near the ,upstream abutment (on

Line C) 0 Pilot studies ind1oa't'ed that oonsid~

arable il'l'lprovetnent ·16 obtained ita spur dike

, is .!l,lao pla,oed at the ups~ream abutm.ent 0

Vll o CONCLUSIONS

Spur dikes de,oreas·e the depth of water

. through the constriotions o

2 o' Pz80perly designed spur dik.es gut'de fl?w in

the opening betwaeh abutmehts~ redueing

the Gharioe of soour at the abutments 0

'30 Spur dikes 'o.an produoe un1fo~m flow be~

, tween ab'utments"

40 Lengtn. of ~l~e gt&eater than a minimum length

ls' not important '-n p~od~cing a'uniform, .

ve loo·tty ,dlstr ibut ion between the abutm.ents ~, ~.

, , '

$'~'" .. Shape'/ of .di\re is. af importance ~ the length of·• " ~ .• 1'1 ... •

,""':"d,'lk~" 'is ,:'tha',t' needed in",devel,opl'ttent of ths.t

. sh.ape.· ~he shape de.·P~ri.dsupari·the flow and.~ .,~... : 4".. • I • I

'., ',"":-', ':'•. f ~:p¢rcenta.,ge openingo" ·,Various, sh~pes" ms:y be

···-·use·:dg~;t:oga±>'~t·p.tnio~splral~ involute 9 etco'.;0;' ..';~~•.. '.".. " " \, ·i~'.~~·':', '.... ,'.";' '.' .". ,,:, ''':.":',.;~,':':<~;:i';.~;,, ' The shape o.f",:~·a~lke &hould b'e determined f'or'

,. ..' , . "':,:-~ ... ,<:' ~'~"';:,"'~~:~<.',.~, ... ;..... ". " .~,.'.",j.: '." .,,',' '. ' .

. <.~'" _ .. '. max1m.umflow expeotedoThis will provide

satisfaotory Gondit'ions ror lo'war' fl'Qws,u ,~

6 a Straight ~ stub=d1kes should b'a used on, the'

downst·ream s1d~ of the ,,'abutments to prevent

scrOU:[b at the aputment 0

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.... ,

t;:) 18

ACKNOWLEDGMENT

The author would l'ike to aoknowledge aSl5istanoe

of Mr o So Mo,Al~g ,By'llesby'Fellow'" and Mr o R o Apmann 9

Instructor 9 in performing t~e experimental work and an~

alysis of the da,..~ao Professor W. J o Eney is the Head

of the Department or Civil Engineering o

Parts of the study were sponsored by Modjeski

and ~sters~ Consulting Englneerl~ Harrisburg 9 PennQ

sylvania 9 and' Lehigh Univers·~ty Institute of Researcho

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.. , .'. "

BIB L lOG RAP' H Y

Kindsvater,9 CoE oCarter 9 RoW oTracy~ HoJ a

Laursen.9 EoMoTooh» Ao

Carter» RoWo

60 . Moulton g LoKoBelcher .9 CoButler» B oE 0

70 Hartzell, CoKaremyr~ I o

FLOW THROUGH DIVERGINGqPEN C~NNEL TRANSITIONS

U 0 So Dept aOr Agriculture

WHY BRIDGES, FAIL IN -FLOODSCivil Engineering Febo 194~

COMPUTATION OF PEAK DISCHARGEAT CONTRACTIONS

U;So Geological CircularNo o 283 1953

SCOUR AROUND BRIDGE PIERSAND ABUTMENTS

Iowa Highway Research Board. Bulletin Noo 4 1956

HIGHWAY HYDRAULI'CSProoeeding~ of the Fourth AnnualGeorgia Highway Conference .

Feb~ 1955REPORT ON INVESTIGATION OF SCOUR 'AT BRIDGES CAUSED BY FLOODSOF 1955

Higrlway Research Abstract'sVola 27, No. ,8, ppo 14~31

S,epo 1957

AWORDNINGAR FBR MINSKNING AV RISKENFOR EROSION UTANFOR VKGBANKAR(METHOD~ USED FOR REDUCTION OF

'SCOUR AT ABUTMENTS) , ,Chalmers Tekniske H:f3gskoloSweden - 1957

MODELLUNDERSOKNING AV EROSIONI -ETT BROLKGE (MODEL STUDIESOF EROSION AT A BRID~E SITE)

HYDRAULIC MODEL STUDY OF SPUR DIKESFOR HIGHWAY BRIDGE OPENINGS

Civil Engineering Section~

Report CER 59 SSK 36Colorado State University

Sapo 1959:'

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B 10 11o'graphy "

'10'0.' Carl,e 9' . 'R'oJ 0

Kable.9 J 000

-~

THE EFFECT OF SPUR DIKESON FLOOD FLOWS' THROUGH

'. HIGHWAY BRIDGE ABUTMENTS, Hydraulios Divl~1on Report

,." Fritz 'Engineering' LaboratoryLehigh University June 1959

\THE DETERMINATION OF THE'LENGTH'OF SPUR,' DIKES FOR FLOOD FLOWS'THROUGH HIGHWAY '13R,IDGE ABUTMENTS

Hydraulics D1vision.Repo~t

Fritz Engineering Laboratory, ."Lehigh University JUly 1959

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spurdike

D:1:es@t ionof Flow

stUQ, dl.ke

IDirectiontof Flow

L Bridge -.JI" Opening l

(Vo

) .

Sketoh A Sketoh B

c

~ ~reotlon O~Flow

Line A

Line B

k. Line CG

,,~

I DireCCltiontof Flow

curveddike

Sketch C

Sketch D

Page 24: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

u~,

I..I

" "+ '\

DE-FINITfON SKETCH FOR SKEWED ABUTMENT

FIG. 2

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-....-.."/

\ I

NO'DIKES I 130r \a =10°

I, J

. 1401- J I 120t-\ I

~ \. I, I~ ./

/

130L . ,. I I IlnJ-; ~ _L

-'~--I20f. \.. /- I

.' 11Ot- ~ I3611 Spur Dike2711 Spur Dike I

1001-- I 18" Spur Di ke I

J---- --- Without Dikes .........

J.. . \

J130 \ a=Oo II.

- 1401-,-

I120, ~/- a=20o I..... I

"\ I - " . - /1301- \ I 110

\\

-1201- ~\ I At I 100\

\

'i .~ I90,

80

~?~~

_.~?

. F1G.:3 VELOC.ITY . DISTRIBUTION 8.ETW'EEH ABUTMENTS·900 APPROACH, DIKE ON DOWNSTREAM ABUt_NT, PERCENTAGE OPENING:

DISCH,RGE -2!_~2 cf$. .

Page 26: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

I I

I05t I \Q-= 20° I I liar I \ NO DIKES·

100 ~ \.II, I II I 100

\ I901- "'-.' ...............

//

."-..~- -Ie< z:7 I 90I

80I I

80

~CL0::

110

100

90

eo

I "J \I \

\

\\

\

a =100/

/.I

II

fI

J/

/./

36 11 Spur Dike2711 Spur Dike:18" Spur DikeWithout Dikes

n:w}-

w~

90

80

70

a= 0°

FIG. 4 VELOCITY DISTRIBUTION 8~~~T\,J\!FEN ABUTMENTS90° APPROACH, Dl KEON DOvtNSTREAM A3UTrv1ENT, PERCENTAGE OPENING 34.9

DISCHARGE' 2.92 cfs

Page 27: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

(I =0°

a = IO~-..,. .......

r '.,J' ,f '\I \1 '\ /-",

J . --_ / ,

I~ -- _/I~~ .,---------<:~------...........

4

50

/ ..............

f "J .\,

70r I \//\' . 1'" '/' \'r< .~ \1 "-'" " ,<" \....60l- r 2:. -:._.---;..-30 A\

I

- 36' Spur Dike-- 27" Spur Dike-ISII Spur Dike--- Without Dikes'

NO .. DIKES­

VA:; 64.7·

•. =. '200

'-:~..:'~

. ",:0.""a::

"-<~- 80/::~,l _.-.~.'« 70

... .:'.\;,Il:.··W:'-:.-1-

I

0::::_~ .

,,;:,,~,,:<:,I.IJ ­

,"::'-;':·',,-'_..'.'::2

FlG.··5 VELOCITY DiSTRIBUTION 'BETWEEN ABUTMENTSgoG APPROACH, DIKE ON DOWNSTREAM ABuTMENT, PERCENTAGE. OPENING 48..8.

DISCHARGE 2.92 - cfs . '.

.& ..... ..-.

Page 28: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

a =1·5°

I~'e".

I-d

.,

\

110

80

'V.

.120'W .~ ~ ft J§ 7

100.'Ie' "-

. 110.

:E .. 120·'­.LLa: 130"(E" ­1&1: .t-III "90:i

'B' 110

3611 SPUR DIKE·90 '

2711

SPUR DIKE ••ISII SPUR DIKE IA 100

WITHOUT DI.KE. .

I.

\:

1$O:C

,- /\'J!'--'"\\

- f.

so

.............. , J/'. ' >.> .J20 l! ''C/> ' .... _ ....

IlO ,II".

-100BeS

(2=00

5 3 I. 3 5I I • f

80

- 90 ,J

.BA' . I

100 I

1

110 JI I-a

. ' .

FIG. .G. VELOCiTY·· OtSTRIBUT18{jflWEEN;.· AaUTfJAENTS .so0' 'APPROACH' ~"Ort:_f(jOWNS,TREAIVl ABUTMENT"- "PERCENTAGE' 0PEMN(J·,-'2ZS"·

_.' '.' .' ,,. ,.' . .." - ."'" _',' . ,.S" '. ' .. _' : ' . . .

~A·RGE- 2·~92""·cf$-

--. --. -:"~·_~~~?;::J1:~:~~"-~;-r~:~--.;.. __..... ':';-': ~.. ,-_" -. ",,--" . -: _.._~_.'_ -:,..- ~_. _.- . ~.____=___.:...::.:._=:_=___==_.~ . -~. :',---. .. ..,.._"~- "_' ••

Page 29: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

:~.

.:'-..

.3ff Spur •..2-tt Spur .DikeISIlSpurDike·...

Wrthou~::'D,ikeS',- ...-...-.-.~ .......-....

fJ' --:·15Cf'

',3- i 3

60·'-

tfjJ' .

'-,

-------.----'\\­\

«'_-:-00

-I

• I. , -

Fla 7 VELOOO'Y l1ISTRJBUnON BETWEEN~. . .....• .60° APPROACH, OfKEONOOWNSTREAM~~ PERCENTAGE ()PEN!NG~4S~DtSCHARG£ 2.92 cfs

, ':C,·'·

~''';-

Page 30: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

Ci =.00

3 5 7' 8 9· 10

40

3611

SPUR D-IKE

27" SPUR DIKE

18" SPUR DIKE

WITHOUT DIKE

b,.~,·· -~. . "\\Sf;

50

70

tO~ ~.~~~ , '~.,':.,' ,'.

,Cl,.,-,-150~E,FF":E",,C,T,,:,',OFCHANGE,,":, '.Y;U-I'J OF LENGTH

40

'e'·

IA.•

~""',"5'O"" ''.'~ ..... _ .~,'a.' , r" " .', ".""... '.-cr ."" ' , ' , "._ ', .. ',' ", ',' ,',',' .lB' lr E)O •.••.~...•...•

W,' ,7'0'......LiJ'~'80·

~,..- ....... '. , ,/--,,.. ----~ \'/ ,

// , -

// ALONG', ~ '-':',/ "-- ,

"

50

60

80

"'-

60~ ,_:-~-- '. " ,'" " ,,':::::<,.. ' , .' .70~ ~~~~ . ~-G ~

A

~--------------~ \/~/// AlONG B~F ~

/,.~/EFFECT OF LENGTH 1I rvJ { /

/' a =v, constant,,,,,,80r- .__-/

50

70

Ie'

~a... 50cr

60lB" ffi 70Ledd .~·W~BO

'AI

SOr '

FIG~ 8 vaOCITY orSTRIB·UTIO'N' BETWEE'N"ABUTME.f\lTS60 0 APPROACH,- DIKE ON DOWNSTREAM ABUTMENT~. PERCENTAGEOPENIN.G4S.;6,. DISCH-ARGE 2 ..3,2 cfs

Page 31: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

<)

. r .;:e 80 ~:"n.

,0: 70 ,I .

. ffiao. - L.-. -- ~-& ..-:, •.~ ~

'~>50 .. i

.......~.--.~;._ ...........

.tif;t/b"'---"."~."''--- ....~--

. . ·11~~_... ·36·- ··DIKE------ 27",:'- DIKE - ..---.,. WITHOUT DIKE

DISCHARGE· 2.92cfs

DISCHARGE ,2.5·-· cfs

DIS.CHARGE.. 2.0 c;fs·

~

FIG.' VELOCITY DlSTRI8UTIONI£TWEEN ,ABUTMENts .

FOR . CURVED DIKES.APPROACH 90°

-- ...:.<~. -·~_:_2_ . . . - :. . .::' ~~ '. ,..:. ~-':~.: •.-,.- ,...-' "":....._~_.~_._'.....-- ~:~_.......-..~ ........,._~_,.~

.. ' . .'.,

, . .~.~•..<. ,,:.lk;>e'" .,}~~

Page 32: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

' .

...,..---...-.-- --_._;-.--------.",,----

..

----WITH·. DIKES .. .,·WITHOUT· ,DIKES··· ·

-.

.. . ·FIG.. 10 THE EFFECT ,. OF SPUR·· DIKES ..ON . WATER SURFACE PROFILE A.LONG CENTERLINE. .

. PERCENTAGE OPENING 22 ..9 DISCHARGE 2.92 cfs··

Page 33: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

,1,.200 f _. "

"

tr",~l.

l.b-J.~ - - . . ~ .. - .- -.,;.

"n=-.:~:.··•... ..n '.G.measureof· effectiveness .

of-' 'tronsm.ission, of ch:ann'ef:, ,,"~ - .,' .."-

~i

, 1.0'0'0 '! _ _ [ d 1 _ . l' , T-

0·":- -']Cl,,: - 20 50,::' - 50" ' '60:,- ' ~:10:' .. 80:'."

%·OPENING... . ~ ~

FIG.lI INFLUENCE OF DIKES ON. EFFECTIVENESS OF THE CHANNEL

Page 34: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

504,0

..: {a=20°J".360 ... .,.

. "'~~,~.. /18u~ ,

2711

30

O~4

.. ... "".,,'"-. --"""" . ... .

O~3 .~rJ1'..' ~X·<:200I'O',0..",..~. .

,'2fY - ~ '0°

,0.3

·0.41

·"50.. ' ,40'

... ···ICl=104 ...

~ ...36".~~2711

ISII

. ~ 30:

0.3'

0.4',

,.':',01$,

~ ", .. -- ,'~-~..~ ,0.3,

0-2 t JS ! . I '. . .a2l I I f

, ,20 . 30 '. . 40 50 20 30 . 40 50 .-#-

% OPENINGFIGo 12 EFFECT OF -DIKE LENGTH ON VELOCITY.PARAMETER FOR VARIOUS'

PERCENTAGE, QPE-N-INGSo 90Q· APPROACH, t DiSCH'ARGE' 2.95 cf's

.'

Page 35: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

~~.

-fIilIIllrD. ....

~

20

" ',., .,.............................',.,

10

o

IAverage Inffuencer-

23.0\ : of Angles,

.. 43.8c;t

0.4(23.0%1

.3611 0.3

2711

IS"

o .- 10 200.2

004

- 0.3

ID.VI. 0.2\/

0.4134.9%1

0.4 I·~

143.8%1

0.3IS

U

27 11 0.3

3611

36il

2711.

1811

, «02,0 10

\ __.......

o 10 20

FIG~ 13I

ANGLE 0

EFFECT OF DIKE LENGTH ON VELOCITY PARAMETER FOR VARIOUSDIKE ANGLES e 90 C APPROACH t DISCHARGE 2 e92 cfs

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'18VIVo

020

0.4

0.2

020

,IIAn __

~IBEI···

30- , 40 .

'~o-- IIBI'

:.[{l:0.4-

,·e"--~---

% OPENING-FIG-o 14 EFFECT OF DIKE ANGLE AND LOCATION ON VELOCITY- PARA'METER

FOR VARIOUS- PER.CENTAGE OPEN-lNGS-~ 6-00 APPROACH, _DISCHARGE 2.92 cfs

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.,-~ - • - - - - &

.··cu<lcGl~<:c

,'~22"~,9:'O/o, .". 34~5·o/o········.

,,:.,.-;,,:I~:~:·~·-:'

, ," , 0" t. - I '." , , O'a i ' I , ,= ,i

", ',0 15- . .30 :,45 '0' --15 ,30·. ,'45," :

",

. ANGLE o·" '

FIG~,15 EFFECT OF PERCENTAGEOPEN-ING:" ,ONV·ELOCITY PA'RAPJlETER'" 'FORVARIOUS DiKE ANGLES" GOo APPROACH" DISCHARGE 2.92Cfs

Page 38: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

.-f/):

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REVOLUTIONS ' ,PER; '·,MINUTE. . .

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Page 39: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

LEHIGH UNIVERSITYDepartment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULICS DIVISION

STAFF RJBLICATIONS

McPherson, M. B. DESIGN OF DAM OUTIET.OUTIET TRASH-BACK VERIFIED BYMODEL TESTS

Civil Engineering

Herbich, J. B.

1950

Di:scussion on: TRANSLATIONS OF FOREIGN LITERATUREON HYDRAULICS

Froc. ASCE, Jour. of Hydr. Div. P.per 2349, HY 1 1900

Herbich, J. B.

Herbich, J. B.

1953

W-.rnock, R. G.Howe, J. W. 1960

AN ANALYSIS OF THE RALSTON CREEK HYDROLOGIC RECORIBulletin No. 16, Iowa Highway Rese~ch Boare

DIKES CURE SCOURING AT ABUTl'IE.KTSThe .4meric~n City I':agazine Vc,L 77, No. 12 o. 11 1"(-,::

EFJ:i'f;c.:T CiF- BSm: eN WAVE RUN-UP C-l~ COl-';PCSITH BEliCHFroc. ASel:., Jour. of ~'_terways .nc H;rbcrs Tiv.Paper 3526 1C,'(j

Discussion on: LATEST DnEDGING PF..ACTIC~

Proe. ASCE, Jour. of v.:..terways anc E;l,rcors l,iv.Paper 2914 1';'_1

SOME NOTES ON CONPARISON OF' BRITiSH MID AI\.t:RICANUNIVERSITIES

Edinburgh University EngineeringSociety Ye~r Book 1962Edinburgh, Scotland pp. 26-29 1.(,(.2

THE EFFECT OF SRJR DIKES ON FLeOD 1"1O'I'IS THROUGHBRIDGE CONSTRICTIONS

Paper presented at ASCE Nation.l Convention -.t,Basten, M.ass.. 1<·(,·'.:

EI'FI~CT Oli' D:i-ELI.£;H. IIi,SIGN ,::r;..AliGr:,S l:l; CEAHJ._CT~J{I':-:'l'l';~

OF .b. }~OI~L IJifr;nGE RHH..ASNE, raper No. 63-J..HGT-33 1'1(-:-

Herbich, J. B.

Herbich, J. B.

Herbich, J. B.

Herbich, J. B.Sorensen, R. 1',.Wi11enbrock, J. H.

1953

1954

1957

1957

1957

DISCUSSION OF SEVEN EXiJI,ORATORY STUDIES INHYDRAULICS

Froe. ASCE, Jour. of Hydr. Div • P~per 1230

BUTTERFLY VALViJ FLOW CHARACTERISTICSFroc. ASCE, Jour. of Hydr. Div..Paper 1167, HY 1 2d p-.ges

AN II~XFENSlVE DENONSTRATION FIUIL FDLARISCOFECivil Engineering

Discussion on P.per: DETERMINATION OF PRESSURE­CONTROllED PROFILES

AseE Proceedings, Sep~~te No. 491

A STUDY OF BUCr:ET-TYFE ENERGY DISSIPATEB.CHARACTERISTIC S

Froc. ASCE, Jour. of Hydr. Liv.Faper 1266, HY 3 12 p.gesCorrections: P.per 1348, HY 4 pp. 57-64

ACCIDENTAL AIR IN CONCRETEJour., ACI, Vol. 26, No.3Froc., Vol. 51, Title 51-13

ELBOW }JE,TER fERFORMANCEJour. AWWA, Vol. L6, No. 11 pp. 1087-1095

McPherson, r-1. B.

White, 'Il. M.l'~cJ:berE'on, N. B.

Macn~mghton, N.. F.Herbich, J. B.

T.ylor, D. C.l".c.fherson, I'Z. B.

1'lcfherson, }~. B.Str.usser, H. S.

NcFherson, N. B.Dittig, R. G.

HcPherson, E. B.Karr, 1'1. H.

Kcmerson, 1-:. B.I;'Jorel, A. R. R.

StrCiub, 1. G.Herbich, J. B.Bowers, C. E.

OUTLET FDRTAL PRESSURE DISTRIBUTIONP.per presented .t ASCE Convention at Chicago 1958

AN EXFEFill~NTAL STUDY OF HYDRAULIC BREAKHATERSCoastal Engineering Chap. 43; pp. 715-728 1958

W-.rnock, R. G. VIBRATICN 1"RhCLJENCIES OF' A CIRCULAR CYLINLdt eli'FINITE :lliNGTH IN AN INVISClIi FWID

P.rt 3 of fin.l report, Contr.ct Ne. 3271(01) (x) Institute of Hydraulic Rese.:o.rch,University of low. 19tj

Str...ub, L. G.Bowers, C. E.Herbich, J. B.

Herbich, J. B.

LABORATORY TESTS OF ffiR1'1EABIE WAVE ABSORBERSCo.astal Engineering Chap. 44; pp. 729-742 1958

Discussion on: SHIPBOARD HYDRAULIC BREAKWATER?roc. ASCE, Jour. of Waterways and H-.rbors Div. -P.per 17B5 1958

Herbich, J. B.Christopher, R. J.

Herbieh, J. B.

USE OF HIGH SFEED PHOTOGRAPHY TO ANALY& PARTICLEMOTION IN A NODEL DREDGE ruN?

Proceedings, I.A.H. R., Paper 4.12 Lancon,England

EFFECT OF LARGE-SCALE ROUGHNESS ELEMENTS ON FLOWIN OPEN CHANNELS

Dissertation Abstracts, Volume XXV, Number 2

19b3

1964

Herbich, J. B. Discussion on: WAVE FORCES ON SUBMERGED STRUCTURESProc. A8GE, Jour. of Hydr. Div. P.per 2076 1959

Herbieh, J. B.S~u1its, S ..

LARGE-SCALE ROUGHNESS IN OPEN-CHANNEL FLOWFroe. ASCE, Jour. of Hydr. Div., Pa per 4145 1964

Herbieh, J. B.Sorensen, A. M.Wi11enbrock, J. H.

EFFECT OF :BERM ON WAVE RUN-UP ON COMPOSITE BEACHESTrans. ASCE, Vol. 129 1964

Page 40: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

LEHIGH UNIVERSITYDepartment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULIC DIVISION

PROJECT REPORTS

MODEL TESTS - NEW DIVERSION DAM(Sponsored by Pennsylvania Elec. Co.)Project Report No. 29 10 pages 1956

MODEL TESTS FOR SHAWVILLE DAM(Sponsored by Gilbert Associates,Reading, Pennsylvania)Project Report No. 1427 1953

6" BUTTERFLY VALVE BEAD LOSS TESTS(Sponsored by W. S. Rockwell Co.,Fairfield, Connecticut)Project Report No. 26 14 pages 1953

3 to 100 SCALE MODEL STUDY OF CHUTESPILLWAY PENN FOREST DAM

(Sponsored by Bethlehem Authority,Beth1ehem~ Pennsylvania)Project Report No. 28 10 pages 1956

1953

BUTTERFLY VALVE RESEARCH(Sponsored by CDC Control ServicesHatboro, Pennsylvania)Project Report No. 25 48 pages

MODEL TESTS FOR CONDENSING WATEROUTLET STRUCTURE - FRONT STREETSTATION, Erie, Pennsylvania

(Sponsored by Gilbert Associates,Reading, Pennsylvania)Project Report No. 1429 1953

MOVABLE BED MODEL STUDY OF GREENSBORO,NORTH CAROLINA DAM

(Sponsored byWilliam C. Olsen and Associates,Raleigh, North Carolina)Project Report No. 27 20 pages 1955

McPherson, M. B.Strausser, H. S.Mostert, J. G.eo1levi1le, P. J.

eo11evil1e, P. J.

Reid, A. W.

McPherson, .M. B.Strausser, H. S.

Reid:t A. W.

McPherson,. M. B.Strausser, H. S.

Reid, A. W.

1952

1952

1952

1952

1950

1951

1950

MODEL TESTS OF PROPOSED DESIGN OFANTIETAM (WAYNESBORO) DAM SHAFTSPILLWAY STRUCTURE (Sponsored by

Gannett, Fleming, Corddry andCarpenter, Inc., Harrisburg, Pa.)Project Report No. 21 76 pages

TESTS OF A 1:32 MODEL OF A PROPOSEDOUTLET STRUCTURE FOR FIRST FORKSINNEMAHONING, DAM (Sponsored by

Gannett, Fleming, Cordd£y andCarpenter, Inc., Harrisburg, Pa.)Project Report No. 22 16 pages

CONTINUATION OF MODEL STUDY OF HILLSCREEK DAM S·PILLWAY

Project Report No. 18 75 pages

TESTS OF A SIX-INCH BUTTERFLY VALVE­DISCHARGING UNSUBMERGED (Sponsored

by Fluids Controls CompanyPhiladelphia, Pa.)Project Report No. 20 23 pages

STUDY OF MISALIGNMENTS IN AN OPENCHANNEL

Project Report No. 16 12 pages

MODEL STUDY OF A CORRECTIVE DESIGNFOR THE LITTLE PINE CREEK OUTLETSTRUCTURE (Sponsored by

Justin and Courtney, ConsultingEngineers, Philadelphia, Pa.)Project Report No. 19 41 pages

MODEL STUDY OF HILLS CREEK DAMSPILLWAY

Project Report No. 17 43 pages

McPherson, M. B.Strausser, H. S.

McPherson, M. B.

William., J. C.McPherson, M. B.

Eagleson, P. S.

McPherson, M. B.Straus-ser, H. S..Liebig, J. O.

McPherson, M. B.

~cPherson, M. B.

Williams, J. C.Herbich, J. B.

McPherson, M. B.Strausser, H. S.

REPORT ON TESTS OF BUTTERFLY VALVESDISCHARGING INTO A MODEL DISCHARGECHAMBER AND FLUME (Sponsored by

. Fluids Controls Company, Inc.:tPhiladelphia, Pa.)Project Report No. 23 39 pages

ADDITIONAL STILLING BASIN TESTS WITH A1:32 MODEL FOR FIRST PORK, SINNEMAHON-lNG, DAM (Sponsored by

Gannett, Fleming, Corddry andCarpenter, [nc., Harrisburg, Pa.)Project Report No. 24 46 pages

1952

1952

Dittig, R. G.Herbich, J. B..

Herbich,. J .. B.

TESTS OF A WIRE MESH FILTER(Sponsored by Purolator Products, Inc.Rahway,. New Jersey)Project Report No. 30 18 pages 1958

CHARACTERISTICS OF A MODEL DREDGE PUMP(Sponsored by U. S. Army Corps ofEngineers, Philadelphia District)Project Report No. 31 110 pages 1959

Page 41: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

LEHIGH UNIVERSITYDepartment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULIC DIVISION

FROJECT REPORTS

Brach, p. L.Herbich, J ~ B.

Waddington, W. M.Herbich, J. B.

Herbich, J. B.Vallentine, H. R.

Patel, M. S.Herbich, J. B.

Herbich, J. B.Vallentine, H. B..

Herbich, J. B.

Aprr.ann, H• .p..Ali, S. I':.

Sorensen, 11. N.~~illenbrock, J. H.

SCAlE 'EFFECT ON 2700 FIFE BENDS FORBINGHAM BODY FllJID

(Sponsored by U. S• .ArlITY Corps of Engineers,Phil.delphia District) Fritz Lab. Report No.277-M-10 1960

ANALYSIS OF HIGH-SFEED MOVIES OF A MODEL RTMP(Sponsored by U. S. Army Corps of Engineers,Philadelphia District) Fritz Lab. Report No.277-M-ll 1960

CONTROL OF BRIDGE SCOUR BY SRJR DIKES(Sponsored by Modjeski :md Master, Harrisburg,Pennsylvania) Fritz Lab. Report No. 280-P.R. 32 1961

SCOUR CONTROL AT SKEW BRIDGE A.BUTHENTS BY USEOF' SRJR DIlffiS

(Sponsored by Hodjeski and Nasters, Ha.rrisburg,Pennsylv,mia) Fritz Lab. Report No. 280-M-30 1961

t;FF1CT OF IHlliLlliR DESIGN CHANGES ON CHARACTERISTICSUt' .A NOD.l!;L DrthDGE RJNP

(Sponsored by U. S. A:rmy Corps of hngineers,fhiladelphia District) Fritz L.b. Heport No.277-?R.33 1961

STAW S R8FDRTS ON ll£PROVING DESIGN OF A HOPFERDHEDGE .tUNP

(Sponsored by U. S.. Army Corps of Engineers,fhiladelphi. District) Fritz Lab. Report No.277.3h 1962

CONTrlOL OF BitIDGE SCOUR BY SRJR DIKES(Sponsored by Modjeski and }lasters, HCi.rrisburg,Pennsylvania) }'ritz Lab. Report No. 280.17 1962

A STUDY OF THE EFFECT OF HORIZONTAL BERM Vl!.RIATIONON WAVE RIJN-UP UPON A COMPOSITE BEACH SLOFE

(Fartially Sponsored by The Institute ofResearch) Fritz Lab. Report No. 293.35 1962

Warnock, R. G.Herbich, J. B.

Murphy, H. D.Herbich, ,J. B.

Isaacs, w. P.Mariani, V. R.Murphy, H. D.Talim, S. F.

Is.acs, W. P.

Murphy, H. D.

Isaacs, W. P.Herbich, J. B.

Herbich, J. B.Isaacs, W. P.

Shinda1a, A.Herbich, J. B.

EFFICIENCY OF RJMPING AND PIPING LAYOUT(Sponsored by National Bulk Carriers, Inc.)Fritz Lab. Report No. 294.1

SlCTION DREDGING LITERATURE SURVEY(Sponsored by Ellicott Machine Corporation,Baltimore, Maryland) Fritz Lab. Report No.301.1

FERFORMANCE STUDY OF A 1:6 MODEL DREDGE RJMP(Sponsored by Ellicott Nachine Corporation)Fritz Lab. Report No. 301.2

MEASJRENENT OF SIIJR:q,y FLOW BY USE OF 900 ELB01lil'lETER

(Sponsored by National Bulk Carriers) FritzLab. Report No. 299.1

SCOUR OF FLAT SANI.' BEAC1llib DUi!: TO WAV.t!; ACTION(tlponsored by the Institute of Research) FritzLab. Report No. 293.2

MODIFICATIONS IN A DREDGE PUMP AFFECT HIGH SPEEDAND CAVITATION CHARACTERISTICS

(Sponsored by Ellicott Machine Corporation)Fritz Lab. Report No. 301.3

GAS REMOVAL SYSTEMS PART I: LITERATURE SURVEYAND FORMULATION OF TEST PROGRAM

(Sponsored by U. S. Army Corps of Engineers,Phi lade 1phia District), Fritz Lab. ReportNo. 310.3

GAS REMOVAL SYSTEMS PART II: DEVELOPMENT OFFACILITY IAYOUT AND FORMULATION OF TEST PROGRAM

(Sponsored by U. S. Army Corps of Engineers,Philadelphia District), Fritz Lab. ReportNo. 310.7

1962

1963

1963

1964

196u

1964

1964

1965

Herbich, J. B. NOLIFICA'rIONS IN DESIGN IMPROVE DREDGE roMPEF'FICThNCY

(Sponsorec by U. S• .Army Corps of Engineers,Philadelphi. District) Fritz Lab. Report No ..277.35 1962

Page 42: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

LEHIGH UNIVERSITYDep~tment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULICS DIVISION

SFECIAL REroRTS

Del:Any, A.. G. THB: FruSH VALVE UNDER LOW PRESSURE K.u-r, M. H. BllCKET-TYffi ENERGY DISSIPATORSUnpublished Thesis 45 pages 1940 Graduate Study Report 30 pages 1956

Dawson, J. H. Tllli EFFECT OF LATERAL CONTRACTIONS ON SUFER- Murthy, D. S. N. POTENTIAL FWW IN 90° BENDS BY EIECTRICALCRITICAL FLOW IN OlEN CHANNELS ANALOGY

M. S. Thesis 76 pages 1943 Graduate Study Report 23 pages 1956

Coles, D. EXFERIMENTAL RELATION BETWEEN SUDDEN WALL ANGIE Morel, A. R. R. EXIT PORTAL PRESSURE STUDY; SQUARE CONDUITShint~, T. CHANGES .AND STANDING WAVES IN SJFERCRITICAL FLOW Graduate Study Report 13 pages 195727 pages 1943

Glomb, J. W. INVESTIGATION BY EIECTRICAL .ANALOGY OF POTENTIALJacobsen, J. T. HYDRAULIC LABORATORY MANUAL FLOW IN A 900 ELBOW WITH A DIVIDING VANE

An Undergraduate Thesis1948

Undergraduate Study Report195743 pages 17 pages

Becker, H. L. INVESTIGATION OF PRESSJRE MAGNITUDES AT Brach, P. HYDRAULIC MODEL INVESTIGATION ON CHIEF JOSEPHMISALIGNMENTS IN AN OlEN CHANNEL Castro, V. A. DAM SP.ILLWAY12 pages 1949 Kable, J. C. Graduate study Report 41 pages 1959

Becker, H. L. DESIGN OF LONG-RADIU S, HIGH-RATIO FLOW NOZZLE ReiJner, P. DESIGN OF A CAVITATION UNIT6 pages 1949 Undergraduate Report 22 pages 1959WilliOilTlS, J. C. A STUDY OF MISALIGNMENT IN A CLOSED CONDUIT C-.rle, R. J. THE UBE OF SRJR DIKES WITH BRIDGE ABUTMENTS

22 pages 1951 Graduate Study Report 16 p~es 1959Nece, R. E. THE CONSTRUCTION AND TEsrING OF A SCAlE MODEL Carle, R. J. THE EFFECT OF SRJR DIKES ON FLOOD FLOWS

OF A DAM SPILlliAY AND STILLING BASIN (FALL RIVER Kable, J. C. THROUGH HIGHWAY BRIDGE ABUTMENTSDAM, KANSAS)Graduate Study Report 135 pages 195944 pages 1951

Kable, J. C. THE DETERMINATION OF THE IENGTH OF SRIR DIKES FORBrey, G. K. EXFERll1ENTAL DETERMINATION OF CIRCULAR WEIRFLOOD FlOWS THROUGH HIGHWAY BRIDGE ABUTMENTSCHARACTERISTICS

Graduate study Report 61 pages 195917 p~es 1951Weiss, W. L. SUGGEsrED DESIGN CHANGES FOR A CENTRIFUGAL RlMPWilli8lT1S, J. C. sruDY OF MISALIGNMENT IN AN OIEN CHANNEL AND A

lllPELLER HANDLING DREDGED MUDCLOSED CONDUITGraduate Study Report 20 pages 1959M. S. Thesis 61 pages 1952

Joshi, D. R. STUDY OF SWR DIKE SMcPherson, M. B. THE DESIGN OF BENDS FOR HYDRAULIC STRUCTURESM. S. Thesis 40 pages 1963C. E. Thesis 46 pages 1952

Patel, G. BEFORT ON STUDY OF GRAVITY WAVE REFLECTIONS FROMVanOmmeren, W. THE CHARACTERISTICS AND ACCURACY OF RECTANGULARFLOATING RECTANGULAR BODIESBENDS USED AS FLOW METERS

Graduate Study Report 22 pages 196318 pages 1953

Taylor, D. C. THE CALIBRATION AND ACCURACY OF ELBOW METERSUndergraduate Study Report 1953

Page 43: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

Tali~, S. F.Vesilind, p. A.

Marimi, V. R.

Herbich, J. B.

VanWeele, B.

IEHIGH UNIVERSITYDepartment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULICS DIVISION

SFECIAL REffiRTS

A STUDY OF THE EFFECT OF HORIZONTAL BERM VARIATIONIN WAVE RUN-UP UPON A COMFOSITE BEACH SLOm WITHDEPrH OF WATER EQUAL TO BERM HEIGHT

Graduate Study Report 46 pages 1963

CAVITATION CHARACTERIsrICS OF A MODEL DREDGE RIMPGraduate Study Report 34 pages 1963

EFFECT OF LARGE-SCAlE ROUGHNESS EIEMENTS ON FLOWIN a fEN CHANNELS

Fh. D. Thesis, The Pennsylvania State University95 pages 1963

SCOUR OF FLAT SAND BEACHES DUE TO WAVE ACfION ONMILD SLOPED SEAWALLS

Graduate Study Report 1965

Page 44: bydigital.lib.lehigh.edu/fritz/pdf/280_M_16.pdfbuilt 15~20 years ago, is the fact that these bridges, in 'many ca.ses, contracted the;'flowie.xcessively.!,' , Scour is also noticeable

Armanet, L.

KrisaIDJ F.

LEHIGH UNIVERSITYDepartment of Civil Engineering

FRITZ ENGINEERING LABORATORY

HYDRAULIC DIVISION

TRANSLATIONS

TURBI~JE BUTTERFLY VALVES (VANNES - PAPILLON DESTURBINES)

Genissiat pp. 199-219La Houille BlancheTranslated by p. J. CallevilleFritz Engineering LaboratoryTranslation No. T-l. 1953

INFllJENCE OF VOLUTES ON CHARACTERISTIC CURVES OFCENTRIFUGAL roMPS(DER EINFWS DER LEITVORRICHTUNG AUF DIEKENNLINEN VON KRElSELRJMffiN)

Zeitschrift des Vereines Deutsch.erIngenieure, Vol. 94, No. 11/12

pp. 319~366 April 1952Translated by.A. Ostapenko and John B. Herbich,Fritz Engineering Laboratory Translation No.T-5. 1959