Ai Shams University

Fa Ity\f Engineering

Nedr,Prhqram

MANF 475 Heat Transfer

Assignment 1

Presented to: Dr. G. Wissa

Presented by: Ahmed Hassan Ib 1m

JMANF

t_

{};_:JrM-tL

Qr\)J*'z . \7.5 W, T, =BZ"C, 1 = 74"C

iC c,an I tO .-

$_r,)A

( E2*741C+SJ

= l.Cg375 W l*k

L-atr

lr ' \,03W l-&

2_

q.

A=T.-*

I(, k" (rt BT,)tst (r * Lt,.,xro')(eo.1) 3t (r

51.

55.4K w l^v

lo-tGo trt

0 *u.a) (s s * r) ,.,,;:,.=

l"L 875,( to - = UIW

.d)

Q,:

\.2BT5xrd=

l5 5, 3+"4 YJ

155.3+4 kW

r+BrJ+ [g.zirct*l[+tt+ Wl-k5r. gl6 w /,K

Zm't C.lrn, \ lO

+ouK, ko =BK

T, T, R=RI(co * \co

T,#r,= 6cnK, R=L

= x,2lrt${ K'' Ali

k" (t

AK

' Q =lri.*iw I

+_ | '.ZO-c,(J

[ = l0wl-'(

"r\ lli,;'1,

i.rIf l'i

I

.1'lr

r

=2o7. 5orrJ,,

1;\r,

"

In&'' &k.

{I.L

RO,

R.

RF

R",

q,"

6k+ " lxr'r'o25

-I- . *=t : o.o2,,."[/tY/\h u bo

= S,+q,,T" * T*,Eo,l +o"2

t{as" BB w 1,"

9, t $"t St.Kt + tCB3,33[8t5,\4 w Ir"

T. -T=_-.;.-

eo j=r,--o, zz 3,( 3*C

q,, ) :T; -T*+R.-za

o, O,O 2S\ W /r,0"

L=

0Vo=

==

= \tli

tq"-rsi:,,l4Wr I

f .], -= 'l 1," ' tn1

$,\ i(t. EI

_Ir:

9, = T. --h-RF\333.s1 , 60 *Ts

om-Tf . 46.6 7'C

i

ir;:'r3.fj'; Ii. r. I

p -, errW/, [6

5_l*=25'c

\1 =t<.rowirriq

--**q.

I

-i* A t- arl.r.-" /5 \

[ , tooW l*.(

-f* ---_ r'

R"'* l o = hr. i: ';'tr* '

\

k= 23b Wirk,T** zs"c, h. = {oow l*,V, S= [cu[7/o,

auH

CU, =

=

R

R

evz

3 ,4o4 r(ro- 5 *'W Lo.ot ^'W k

=1,,TH- T* Tu-- T*

r<\ Rsq, :

:TH - zBo.Ol

alzp

to K \o3

Tr, 253.+o+115-s + . ,o\

tV.r T'', - zl

3 "4<, tr to-s 1 o.ol- o"o I

l5. oB" c

TulTH=- -l e6

\,

4 SxE osts " 4o{ vto- =

lJ,, = T5t

I= 438a,o W/,'

L-r.R

75, ot -l .

4otXto-s t o-dl

a, V4,gl "c

7_Th;

= 4So'c= 4owlxk ^gl

s<yr, ]

nv

L,

E =l6p'c

L".

Jr> = a$oq

fto =e?Lvl*.1

1

1il,-*-.-.*14A-k-He

-d,r -R;

K,-1,

L.cp

. t.oTW/, u : o.66 W /^ I(,

45o"c, hl\2S W l^'ktT,;

{c w l^rk'c

\cc, w l,nz, -,I"

tlV

T;

= -l : e.oZS yr,'f/W\ vrto

= !' m'klwt x 1,.7

5"c

,"k/Wo, o35? *llw

R, ;

R3rR4 :,

\=

t6o =

h,AL.

k,{L^

-lA-k;t

LE

L,,,

I x o.o6l_

28x1

T *T"R, tPz.

R3 tP+166 - 25

F.-"-y{

L" s e,361 *,

L- = o, o67 8 zr

f u- . $(l ,^,,.,,

\,

t6o =

o.ots. fh

T; -l:

I t-,,' = E?,*-o

6-?7

li'-r-'l' lo-

, h.lei

T,l'i

. lSu(, lowl;t,

R=#,K, -oL t

k = r,4W l^k

-to C65Vl l^'h

: o,l "'tlW- 2"8 SJtro = ^'kli

= o.ots3t ^"kllY

l-JT*,=k,

2\ dqvl

* 1g.e_l

Ti :h.l^k

.$, s* - -,*

rp1}ff '-''

; 65tAl l^o k , L: *nn q

!,u

t,$,

rr-T

(

I xto4

(x t,+*J-I x65

==

\"=

25 l?

t3*w lm\L---G-

€wtP.zb _(_ ts)

t, f ETxrs-s+ o,nts3K

t3rK,67Wh?

\, 1,tco2c,K

4L

r3t E (7,67 W l*'

ftr :. Lol {U:i

q_Tu"i

1

n

: Lot: {o ru /^zp

Ii

iI,

tlIi

.i'1i

Tco,.*- ---*r\r\***--^lll'-*---.A)\A- *-

(i (, [LLA

LLIIJ

6**( T; (*t, T*. " *(6'E, lr; = low l, rk,ho = Eoo kilf^"k,

O.$n t'O.5^r

0 PI{G ce5

Ri =+=D LJ\? _

A 1..*r.

R" = RlI

t( 4 r -A-L-

o.6x rr.5 x lo6

t.=G =o,Exo.5 x \.t

6lc€ ,

o "8No 5r<c.c2<

\

o, o\07

E (>,6

; 3, \zsx

W

U/

I

fiTo-sk5o a

Aroas

=ff

ld.' - lf*.

2-C -(-(o)O,ast o, oidt roffiTgTttaslEo

3c +7 vU

ERI cn: - -T

I x.,--vCJ(, ;*p;t-n

-

4.29 + o,o( 01+- s lExlu=

ER-I*;

- -I-oao ,-l Lr;; .L)

es@t6{tr,stO Z. {5 \M

r-Jt- I

l$' t- "' ' tozh i'|-t

A*o -'*t[. --toWL'k

tlut

I : 4o -t

=:rlWI*"F

k,{

A

(

I^ l;_l'' f

\o-

k4=Los

T^o =hB i

V

o, IWl^kr ks= :o{WI-k16 "nn, LR = 2:,,,,^ , so.3 <kl u,Zoooq, hnr(owWk%N

Ri R7

6t

ZoW l^2k t A c/,5 xr-

R;R,q

R.RbR,

,--t : \ -6,"2k/t,flhi 5x to

= *,A - --*=-- a o.c)z llWflk+ - Sko,t= o.g *"_r€_r o,o(llW: -IL--#u=, . o, t k/l,U

'tkg - 5 xo'o+.

e J- ', o.ol. t\w\A a B yzrs

M

a=-l-b^ -

-Tr.e

z"Rzco - 4c

-l-oo o

*

Ri*Ro. (.&

*46 *Q"

O,O2+ O,CZ

76'l , go"o1

TBRi* R/ . Pa;fu

= 2oo ."-.J_8%o.oz*o,c,2+Z----' o6+c,/

t0,o6ro.\ tUJ

ci=&e = e.-T,H*-761,3=+;'t-

Tn = r$+K "f?6"r:5

-Te+7,6{U "C

LL.

D. = 5.*, L..ukt : o'o5w l' K t

Q,*u=

=7*^, k-"1 :g.(5tVlnl,

I . 3[S'(

6I ^ -ts.-s'?2Lc :6 ,r.,".rt

T- _TU

2_R = G3\ 5 3 8

50 6.24 W I".

Q,.-- I o I i{f*t-"

5C6, L 4

IIIU*gurl@

I*uU*-

f., = k'n *,,

h*

o,05

(Ln=s)) (f"

yt o\ u^u\it

l2_

k*b = 6, tSW l, k 1-I*. = 'zsoc, h- 3 W l'.rk

o.()b rr5 O

^rrr

Zoo -Zo?:€-

s1'. t. W l^

rn k/W

= !t,o6 I nn k /tvzrrx [?;**

l[ T,o.R

l6g "46+

ZOO L

-fqr,Qc'{

L =g\rJ,'L

----*---..,,/,- --rru3-$A_.

Us'trtl6

R"=

f..t

TT

\oaS =

Wl,..' rdt

tB

Too;

LK.

i_ \.

Ir -

= !2^^, 56;^,

= tto"C, h,

= 6o*c, hu

(^rk

Q,-* =G=Rl4.o tsc:

Irzrr("."",)-Iu" * iGrrinz- - ;rr;G oziln.

I13,86g w/, \qo' o,1h

c

, l.,o'I ryii!i 'i':

= 1,26 W l^k

.^t'e P,fN li,* (* il["tl 'o=u-tho'*

t4o*tL

Z 1r ro,a?( { i ?o Z-II Yt a

2\2" 23t

;__ l;,, I oo-=-ffi13oR

1_3*z1

r"Et). zrr xt,2( \2t / zn x"ffi yio

w l,a,*yfr

KinQ.

n

?- ts K rc-3

h.

kin-Tl

T,oot

kt=kg a

h;=

\4-

(;n

(-;^

r$3c"C, q :5om'"., fo:55r",-,

5a W l^k' t ka '{)'06 \U l^K

o,\? wl^Kr R(.o.ot^"kl W(OoW1^2kr hot \Wl^"V

: . ..""-

BiA

-t fr,' ir^

''.1 *..*"4lt,. *_;,.I* "5i "li&

t'- .i.{

-iti,r''11

clP)

CfA .lzKi,..,,t

t toirl6K\o :

= i5 iltq

7,5^^

(f"(r"h"

h.,a ult<o

-f"or\T \IL]\ocS eR.

= R, + Rr r {-<B

\_s-IfJ - Zrtxo'G55t\o<:

,$ou(+) = *xilz(<r*

=(?f(' =

Rt ='

RB 5

R.e =

(l.n =

R.r

=k'^(+) ={x1x.,.

O.o\ -- .9:Sti-- =- A ztrxtx0'165

r [r( fn \= (

-'6fT^ \ rts I zti-{txood

0 ,02 st3 ?

^Vlw

^Kl**Klttt

* {?. * R.l

Klw\^ tr:)= o oB (

(6," S*) ' o' 6s7

C) ,Ot5(5?

r fri)' 1,6 sso6? * il *

o. rzKsSoI 6 ^VlW

€R=

2?x"t (c,.tSs Xt

t'

i"'

Q*u= =l-.ri - Too

"

2Q@5

z. oxs4t56\ts l.tb W l^ {*fl|t"

O,=*=T*i I"+

l3l 3o,ozSS37 to,

I"Q,-.= :-

f?r * Rt + Rs"{;R;

13t,35 3Oo Jb

t-lo

E.

\* RB

o, oZE 95? +o63b35s .r o, 657d{ 6 * o. o,sGlEil-t'

42,11 o(-

15 -

T. = 5oo k, J;" *3oo k /

ho= 25W l^rkkf "oY'i /^kl kU:o,z5W/rk

Ta,, = 5o ok ,

T

a :r- * r f -I \o - \- A - 2aall-xto' tTas

= o, o55l 5S1 ,t< /W

66\5 ^ki w

{rn = uaSr,uu}u?' l6E3.z Wl^k"fl$,

N ISU. =\RAR^l g6^,^fifuf

t/ts RB + Ro

KF.=",ffi-fu'^(+) ,@!*"=n -f soo JooI/B o, 5o43KL1

) -' o,+ 4tzl I ^kltu

3t6,o Wl,'d'

I

I

I

t^

\ 663.2

q,n

,-l4-336.uJ J

-l-.

",

T= 152,4

R,q

soo 1.r,,{

O.o55[5Ki

Isr,,a - 4c:7'1 s

r6

ft=aii = i;' iL, -- Lg=o '65a1 , L2=o'\-

HB= 1t1.=t'b'r

k;= kD . 5ov l^k r l( B = t otA/ l"lq

k. = \ Wl"ti, 7*,=eoo-Q

h, =bO\U/,r,nzk t T*r,?5o{-lh L -- to W l^?k

Q,."= =

fa fl*---Ae^-.--.""--. ;ff

1Li+&

zrl, Kek\ ,e--q tRr +

I

R.rRe

Rr =

RA =

KB E

R.:

=R=t

Tn- =

ItfrknA

L"--- =K.fuA

L.kcAL.

'\

h.A

€ Rr '=

(sxr) b,,61 xb-' ,k lW

O.655o K3

o. I

tox 1.r(\o.\

t K r,s x,\

Cr. O9a

^\ (50

\

ts,

6,6q

Re

Ro

trr- 1 ^klW

s ^klW, o,666 ^kltu: 3,33Ylo-t KIW

lO x 3K\: e) , OBs3 v14 KlVl

333cC-l ,k lW

Zoo ZbQ,-"= =

h : t-r,!/'tr J,',it"

6--T*, =

kr ' =

\r̂t

Toa" ;

Ri=

BZol(, k=o,i7Wl^k,ZOOWL,Krfi=taymt{2.sffit l.tk\ttla)'Boo*k, 1,.=t2UJl*,V

t..t4 hi - zrt n' L hi - Zrr"ffi. ( r 2os,

I i =")l,rr/ \i'!, -1n}(*-]

T* - T*,,< +Q,

@o,z0(g to.GTSS6

\i = 3:nt'

\, : ?.ollWli.'i

I

I

(tl'Ll..---+*I

I

fr,*c .* !

R:

R":

Imt

-48-

$)t ^?-

2 x tf x 2rnr g1-

-rlg

q,,

qt, ul,

+"

-G,Ro IK;

TH - BoO\, o 6 t

3+4.8 o K

r:

55,16 e '/.,

A\J

Va

=34lF,xr ,3oo\,o6[

23',5; W h

g.- 86 6e2ooo (zu-x$;1.,

E 6.66 w l^ tfitt

IKr.----_.--

, h.[sj4*t-.-

rl.F) -. -#r-, r. (*-:-) = o. zoE3.'*,r,*u' R

^\R. i;.

ttrr*

:- firro L h"

Q"ut

tq 5[oe c>

+ k,,, ,d, 15 Wl^tf"