Assignment 3

L- Gasoline at 20"C (p - 680 Kg /m' ,y = 667A N /m') is pumped through 12 cm

pipeline L0 Km long at Q=75m3 /h. the inlet is fed by a pump at inlet pressure of24 atm. The exit is at standard atmospheric pressure and is 150 m higher.

Estimate the frictional head loss hrand compare it the with the velocity head ,L(These numbers are quite realiStic for fluid through long pipeline)

Z- Air I R=287 J/KgK,Cp=1005 I/Kg K ] flows steadily as shown in figure throughturbine that produces 25 Kw. For the shown inlet and exit conditions.Calculate:

. The exit velocityo The heat transferred

Yr=30m,/s

D =20cmPr=1Obar

tr=150?

v2=a ln/sDz=20cmPz=3bar

T:=3?

.)J- Air I R=287 l/Ke K, Cp=1005 f/Kg K ]

a compressors that produces 20 Kw.

Calculate:

. The exit velocity

. The heat transferred

flows steadily as shown

For the shown inlet and

in figure throughexit conditions.

Vr=10rn/sDr=1ilcm

Pr=3bar

tr=50?

zr=10m

Vz=? m/sDz=10nn

Pz=15bar

Tz=124?

Zz=ZOnt

--->

4- A hydroelectric power plant takes in 30m3/s of waterthrough its turbine anddischarge it to atmospheric atvz=Zm/s, the headpenstock system hr=20m. assuming turbine flow

Ioss in the turbine and

s.=I.06 estimate the power in

Datum

5- The pump figural delivers water (p=103Kg /m3) to a machine at section 2 whichis 7 m higher than the reservoir surface. The Iosses between 1 and 2 are given

by hr - K* where k=7,5(dimensionlessJ take cr=L.07.find the horse power

required for the pump if it is B0%o efficient.Pr=1bar:rbs

Zr=0m

Q-s0l/s Dz=10cm

Zz=7m

Pz=1bar

ru

Ain Shams UniversitY

Faculty of Engineering

New Program

ENGR 350 Fluid Mechanics IIAssignment 3

Presented to: Prof. El-S amafioudy

Presented by: Ahmed Hassan Ibrahim

P.MANF

Assignment 3

L- Gasoline at 20'C (p - 68O Kg /m3 ,y = 6670 N /m') is pumped through 1.2 cm

pipeline 10 Km long at Q=75m3 /h. the inlet is fed by a pump at inlet pressure of24 atm. The exit is at standard atmospheric pressure and is 150 m higher.

Estirnate the frictional head loss hr and compare it the with the velocity heacl L

[These numbers are quite realistic for fluid through long pipelineJ

i,r "$, -\

I

v"i..

lrt'"

-7tr7J \

@-

T.' 2

if:4.l

Vo.,=G:"A 1+Z ^ls

E.f. briwte,n \ &21"\*q + -*: r Zt: *- r Y*- \ z.*hrY 2.1

G-g-*L."'= ,r1Xa ? ri.+#]r-*so*hf6{1c.r Zx g.El 66-7o z3

hr

t/

\rt, 4r ,,r

= J 13.+x ,^ I

I r 5j":

hivql'

it53.iil

( r ,r+z)z/tug.rr]

2- Air [R=287 l/KgK, Cp=1005 l/KgK] flows steadily as shown in figure throughturbine that produces 25 Kw. For the shown inlet and exit conditions.Calculate:

o The exit velocity. The heat transferred

Vr=30m,/s

Dr=20crlPr=10bar

tr=1500c

Vz=? m,/s

Dr=20cm

P:=3barT:=30c

-->

lo" Se"J2 tiI IOW

l-J.-+_RTr

ti\ **e*Rr-

e\: rnjA, V*

i loxtoi \ r- , ,\\rbTm/^ +,* o'a') ( 3c 3 rto}/

- (* to 4',)

InlS,./

k'" \r -iYer\(*'u,.-J (

*V.

Vz =

(e"a? {s *zrs))

(s-24X

rn= (r0' \*".13\ I

t! e -.n

" t

=6 j. l4'a"f'. i

*!.€(,\Ll.s{ r*ri

2r17, 1 /:)J ()* hlu

-"b:aAY

In gffiffiuiUJ..i

- W. _VJ,,.,.- !3

- (25 x r#1

: r,^[tt- (t -f * X.),]. ,'.,!/"* (to":. r(zt3+r.z; * ---Q,:i= l, l(3 L(

tu,s ^(zrs* 3) " #)

\ 3h5.1 kwr3xt"? k^s

ta i.Q 1 $: { Jt-t"'1-s

i -<?? +( k ..l- _]

v uF'

+,1=(

Iv,.- t ylraci*J h<*\

* .,.rrtirr,r,fl

I- .1.r.',1 * r"r-.-i

.".,1

3- Air [R=287 J/KgK, Cp=1005 l/KSK] flows steadily as shown in figure througha compressors that produces 20 Kw. For the shown inlet and exit conditions.Calculate:

o The exit velocify. The heat transferred

Vr=1Om/sDr=10cur

Pt=3baltr=5OFc

zr='10m

V:=? nr/sD:=10cm

P:=15barT:=12ODc

Zz=ZOrn

Iot

3 X\b52 t1 ( 5o* z73i

"1oJ,1 ilo w

-e, -"A,v, .=RT, ''

{

t.l\JT

rY] rAtV.

=,4n)

lqT?

, \afn=

4.,,'

apPt,trrvrl ffisrtlb eQur.[i* 4 :

,i

'r::"r)

a - (-m* rCI*) = o .'15+l kioruir2o*zz3{ +

L,( tot': 'i' i::: i-*:f { {

'Ltq: "?*,j

\"tl I

1t!,i l'*il

)

KWKl ,/sL/

tu{

)^ (+, u,')^ (,0) = (fffu;^ (q l, il'i * v,

= 2.43 r'alsSJto= r g(o.t\'^ lo

2E? ( so+ LT3'l "t t

c ,2 5 4\ kqt:

86.N6"1r:LV,

h+

613dT 3

?3K

1'/ - . ii t

rl2 - -\ i r

#- *\L)z - \h +

q ^r)l::* * J-'i,lf

,*LjJ-:* * :.r!.r

4- A hydroelectric power plant takes in 30m3/s of water through its turbine and

discharge it to atmospheric atvz=Zm/s, the head loss in the turbine and

penstock system hr=Z0m. assttming turbine flow a=L'06 estimate the power in

MW extracted bY turbine'

el L)"L

B, E be{w"un

-g- + {.V" + ZlY '3

i

P^ * l..-Q j:;9- + ro o

X zx 5'6i

Pn(vLtltt,*Y*

..4

-D+g- * ? =4-1

v

+ hf t l,r

---; h : loc ^xl, D6 X l*-.,

zt t.'{rL*

73.?r rn ,/

*/

P"** at t*rbi** = X C! h t

= (**'4, t-tr) ( 3 o)(1xl06

r lE)e3. +323" q3 A4W

5- The pump figural delivers water (p=103K9 /m=) to a machine at section 2 whichis 7 m higher than the reservoir surface. The losses .between 1 and 2 are given

,r2by hr - K:- where k=7.5(dimensionless) take a=1.07. find the horse power

?o

required for the pump if it is B0% efficient.

Ielld-T]'l

D:=1t)cm

Zi-7nPr=1bar

G-A- TT*{ (o.,)'

3r \

b et weetr

{v,'_ _L

-L'!

,/

\ &,L2 -'- A *""Vi* rZz-hp +hFt-1 -T- *_2T t\J]J--f- +

YI

hf= K*V: =7 u-( (-t-sr)i"

z x t,N IIt,4 q l"nzt

b*k f o B,E,O=

hp =

lx lo5Tc;Tq. rtr

* t.oJ x(.3d62- * ? -h,, *i5*\* *-

"*g.8t71. Bg S rn

d"\ =lpPower XQ hprq\^rr?- P {}vrf,{-

t -\l^-- ..\( su { ro:l)\ r J'i-1";ttX ffi*."h.,. - =

(e ,t,x rol,?,''t b' x

! ?. tcb KVil

l't. t35 hp

Pr=1bar abs

Zr=0m

orlp*t