1-

Assignment 7

Calculate the maximum acceleration allowed. Then if the acceleration is increased

by 2A% (a=1.2a.",,). Calculate the intensity of pressure at A & B and the volume

spilled. (width = 4m)

2- A steady flow of air. The properties are given below

Work is done by a compressor on the system at the rate of 1000kW. Find P3 and Q

(state its type)

(For air R=287 J/kgK, Cp=1005 J/keK)

Section A (m') Q (m'ls) P {bar) Z (rn) T ("C)

1 inlet 0.3 2 1.5 1- 20

2 outlet o.7 0.8 2 2 30

3 outlet o.2 1 ? 1.5 50

3- Air o ws steadily as shown in g ure through a compressor that adds 5kW to thefluid. Estimate Vr, Q and state its type

dr=15cm

Pr=3bar

Vr=?

tr=5OoC

dz=10cm

Pz=5bar

V2$rn/s

tz=70"C

4- For the pump shown sketch TEL and

P',=? . Also calculate the manometer

momentum delivery head.

HGL then determine the pump output power

(H,,) manometer suction head, (H,o)

Lz=20m

dr=5cm

F=0.02

Delivery pipe

Z=2m

Lr=5m

dr=15cm

F=0,02

Suction pipe

5- Given for a centrifugal pump the following r1=0.1fft, rz=0.18m, br=bz-0.05m,

fit : 3A", Fz = 20", n=1440rPm'

Estimate:

a- The design diameter

b- The water power

c- The head t

6- The following is the performance of a pump at n-1140 rpm

Q (m'ls) 0 0.05 0.1- 0.1-5 4.2 o.25 0.3H (m) 10s 104 LO2 100 95 85 67P,(kW) 100 175 135 171 242 228 249EfficiencvHrr, (m)

(pwater - 99\kg /m3)]f the pump operate a system whose stac head (lift) =50cm through a pipe of?200m, d=0.Lm and F=0.03

Determine:

a- The design Q & H at (BEP) best efficiency pointb- The pump specific speed

c- The pump operating point (Q and H at this point)

What should be the design Q, P and H if the pump speed is doubled?

A pump draws water from a reservoir whose surface pressure is 90kPa (abs) if thehead loss frorn the reservoir to pump is 2m. where should the pump be placed

above the suction levelto avoid cavitationlf (NPSH) required 4m and P"p=4kPa (abs)

7-

#,LW

Ain Shams University

Faculty of Engineering

New Program

ENGR 350 Fluid Mechanics IIExoerimenta

Ais;y, J I

Presented to:

Presented by:

Prof. El-samanoudy

Ahmed Hassan Ibrahim

P.MANF

Assignment 7

1- Calculate the maximum acceleration allowed. Then if the acceleration is increased

by 20% (a=1.2a,.,). Calculate the intensity of pressure at A & B and the volume

spilled. (width = 4m)

4

')') t\\i,I - ,{ ax in,r ur,n crc"*lar rr.ii*-r 1 r', "r ,eLA'I V

Qx

{ons: _ e_ses_?oAi-,n?o * S.tt

f)/Hr.i 0,381 r,riSz

P_* ?LL 2_

f-I P\CJ,

YZ.

a\qz

C(::

:elo*S

t,2_A- Ctrl

1,2 ( L.3Lr

^tu71 LQ -- t,

= -l ,c57z6flZ,,,s: ?o/?1-6 3{ 1 iln LO

Z_

'n /s,z ?,tg_q4: 7 '61ts 3

n{iel4,h/-._'

]I

1.\

D14 =

\r'

16'Ln

ilz* ? 1

,:1,'r6t";ls''*t- = t e 7 :

= Yf q?-l-%)lno\ 'a

\).E =\'he x( *ry-k )tu ; (+ - z e,

2 e. mb? kFq

\Lp i rkd-\/. , *(/r t'r{ {: 4 [+*:

L

)9X\*c\

-r\s"

-) f* -l

,)

Section R (m') Q (m'ls) P (bar) z (m) T ("C)

f. inlet 0.3 2 1.5 t 202 outlet 0.7 0.8 2 2 303 outlet 0.2 1 ? 1.5 50

2- A steady flow of air. The properties are given below

Work is done by a compressor on the system at the rate of 1000kW. Find P3 and Q(state its type)

(For air R=287 J/kgK, Cp=1005 J/kgK)

1 764 k.7 /*:n .')l't5 \i)*'

vl

tlv?

v3

I

q:= I+ *>3 x I --> \ -"/ -s,

+

\ .7 zi, t r/^.AU

-_-___:__€l:\6C,tBTkPa

--\ .

ltI t'ta! fr'na - \h r

:

I

I

zG+

2,3x ",0 (

,

\,12rx , (,7i4(.(

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\3 i, r y ;/

/,,t,

;,jl Yl ,/.\, .'.rlX iJ

I

Q+\xrD6:+

' ','l-Yt ,1\J v , ,r"I A t')"7r,;$l.Jil{'i

/ F.

!I /,_\J L_i

Co.rl t4-). r

A1l

, ,.1 ..':j

rti

. l. \lV

Air flows steadily as shown in figure through a compressor that adds 5kW to thefluid. Estimate Vr, Q and state its type

dz= 10c m

dr=15cm

Pr=3bar

Vr=?

tr=50oC

Pz=Sha r

Vz=S mls

tz=70oC

-:*b

fn: nnt =\, l-r 1 .a

I -+l-- ) r.ll,:: 1-U*-**- X tt / 1{\2L ( -j X (2-l- -;,,) -1- \t" -) tV'

rnzJi-\\^,[-!ff,,\ArV,\ r'T',/\ -.-5irut ,I_l-,_rf c r,* I t l-4r f.;,7;; "r \ ,) . i

= 3.+x?,*, lSvr

fY= (J,t

=.

tq4 k,, l.t:

;Vh,.l\

" rt:,of (L

a}-)w,i\- lr) +

lr

* \,V. \l--1,

t-l\-ll )L. X

,:,'\ ttiti *\4Ll-\

(.*]'- ro) +

**V:4 ,r'\lI " (,' -/r]

,-l \)lz1

(ro,rr: { i 1?-. ,) 4";'l 'l]triJC Cr ,-r:1 r'*"l. -71 t A/

C

ICoo lr,"*,()

(rrit *),. q r,i(l

t, r*-)

4- For the pump shown sketch TEL and HGL then determine the pump output power

P*=? . Also calculate the manometer (Hrr) manometer suction head, (Hra)

momentum delivery headl.

Lr=20m

dr=5cm

F=0.02

Delivery pipe

Lr=5m

dr=15cm)

Suction pipe

\ivl :

V. -,

Il.1l

F=0.021 ,) 1 , ) , .\ I.*:--...,-. : ,..-.... :i :: O,l-(* ml5

;: / t- |rr 1tt-l

rl - tll**-[, h,,lr-l3- L+ \'; :

1 ._-f,/\

rr L iI 5 + /ltt "r,i, o*i:r- r\ C)\'-tu JI+1.,:.'-7,_,"

(, ; -":

7'" !

!-- ; , t l' ,1^

l\tlrnl( -=:

t\,.1

r (r=, )'

: lL,\tp

, ' .; Lj i ln,./ t.

a , i t 1.li-.1-- '\ i; "

-) , --r

L,U

hi, ,

!* iu;" .:, j,('

;:.)

t:.':)

\t *;i-t /rlM:L-

r"

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I i_)-:,.,.1.t-)rtr-., )

\'ht'!l

+ o.o(2.ot ,^

c t k? $'{i?

i" v\l

svcttigr-v{ I

Q=10 lit/

5- Given for a centrifugal pump the following r1=0.1lrr, rz=0.18m, br=bz-0.05m,

fit : 30", fi, : 20", n=1440rpm.

Estimate:t\

a- The design ffi J,'- :'[ .'i, r'x'

b- The water power \

c- The head

(./J : LTt n*--*a-#bo

Lc, P,

LonSc\l''t t

I

v^\

6.? 0

V, - -.- u'rr*-mr- - Lorfr

Vn,'

/.N.. ,/ \,1,Y un'\

'/' 'i -* --f*.,h-\

.tl,I -\u,I -\/!\-

I ---I ---l-Ail uP\X1 : grt' i,l1 "' UJ r{q

6.J *lrrlvnr

\1,u*\-v

?rf rr b,\

= --. tV

--.-.-3 fl { e'tr x *"

a ,27 35 {r.'I

_ t\)ZlT { 2 tO, ' zTxo,r6xo-,b z 4'637tl

U}

rJ

vn, =

- r I ''t t tql leErvn :-l)vlCr\r:^,, V1 = /=:+:t, X--t-l'(j

\ 3,xbz n I *r \1, *

\r . .). ;' '1 v r.l.) ( l3 tS)

:-;) \ / t Uf r ) I I.tvl t

\:'v(

1*],; xn,2735x

t"tte1 -) ):, fi^)\-)u'*-rL

l^f1 t>te L, (,

Ji

llIt .'rt \/,,i-l J2\",..i_'l

{

nl)I ttt( r:,*,-,I :\ E

kw

6- The following is the performance of a pump at n-1140 rpm

(pwater - 99\kg /m3)lf the pump operate a system whose static head (lift) =50im through a pipe of

l?-00m, d=O.tm and F=0.03

Determine:

a- The design Q & H at (BEP) best efficiency point

b- The pump specific speed

c- The pump operating point (Q and H at this point)

What should be the design Q, P and H if the pump speed is doubled?

B f l I C l('/1r J, :d

t3--J-cl_*p-

J

1

XOHP" x r,>'

r l.i r'* ,,., . x lo-( = <:.7 L: = 2

" I

nl-t

OA

I)Ycrrn

* zo2 k$/

N= cr{

\\

I

:rr"/,ti"'"

13 4

Q (m'ls) 0 0.05 0.1 0.15 0.2 o.25 0.3H (m) 105 r04 L02 100 95 85 67

P,(kW) 100 175 135 171 202 228 249Efficiency, 0 fiALJ ?3 7\ 12

a, l:r\ 7rHrr, (m) :-a c-/ /.8 ,b /.. l__1:) IL 141 \c;

\\1 [5,;1=,

tl

U

1-l *cL i qItl--'l ., I .,^\

,

\l+,ri ;.

r tlvi*^^lL \...t' :'I) rr'\

/,,

trrL u 1z+ *-I;-l: --l" -lJ'*

U\r*- l( :)

t

)l+or i.K:

r .,rf,U nr

-KtrL_ _x ( c oix j-) i) Itr A i 'l -.lr(''1./)lv-ta1r x Q?r >'lJ' vln4')

,/t/Optr,3\i,'.,, "r:ndt\i*,,r

a = C,\t3 ,vl3l sr-t =

g2 5 rn,l--

Tfr -i at,v t- , I(r;N I\ / ,-,_/ / |

Q.

N, :N, =

o.4

/\l

ZN:lrn'l s

J[z =

/i\-*

l',I ...

i-i

r ',\_/l

i! | -.,

I(l'l/1

t

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rit-,-.. . .i1

,"\'1 ' )-o))\- :^ -li,/t/\..)\ b LW

-o-

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L-\

t"t---o-

fr--No

1-c--

'a

,*, -, -+-._+_-_ ..___--_-.-; q .9

-s-- - -r4- --''- r^ --t'-? _9---- --'-F------*)- -

-T9'-,o

1- A pump draws water from a reservoir whose surface

head loss from the reservoir to pump is 2m. where

above the suction level to avoid cavitation

lf (NPSH) required 4m and P,p=4kPa (abs)

pressure is 90kPa (abs) if the

should the pump be placed

1lI; 1t -

") ..,

t'

v

Ru - ba l ,rvf< r,

L,,L-!'--x ,. ''/,

l rA - ll 4

s oll I -->nL Lt,r+.-.

---\;-*-Nt

4\,-,\ '.

(

gr; Xr) -

') r-i * ';.---

--v'/L--- ,

I *-

{/ i

/l !'. : .-l

'L l6(1