Ain Shams University

Faculty of Engineering

Program

MANF 475 Heat Transfl

Assignment 4

Presented to:

Presented by: Ahmed\flassan Ibrahim\

JMANF

t-

-frb

&etd=go^-,T" = f,'S "c

l-11

rn= 24l^cat=,

, 'w= Qc*

. 35'C,

\, 4

,4h(T* '-; u)

l;- )

Tl

C

I "Tl

t-lw l,"u T -T^,Q."^,,*

,f.o- tobt""i (P*p*$*C?: 4,lxz {,{:/r^,k,)k[ = (43 x to-3 \NY -V,ntr 3.54 \lp \),OT

\r,

rh : 3A. U -j\

R.= = i{D

Nu: c,O zz

nl\u

=

=

-r [r l* sv

-'Lotz x Io

T---anF--'ttth R =.1 \

Al^

;1:1

2 .+"

VF

a.->

.- c.+ h.cdiq (I >f,o,oti ( t, h3*,$"'' ( :,s+)

a'4

3tz.l1

53 A. S,tt.r+, S - o,c,s'

= \- 2a1- *lso.o 5

rn

b -6

|-lo*LOrI

e

5++ trto

= o,l{

x \.23? x

E+4 XtO3 x tosbu lc,tI

4l s,+*

h:Nu hD N,,, "k.D

416.44x6+srru-"

53hr,

g.o S

58S,. 13 wk^{(

| \M /n": L]iI. =

(

P

a\zxt0l,,,-\( J = O_.V *o,.-. \

=

(rI

r)Y*n'

35)

: (,-c,,os rl)( sor r(u* -*sdJ

(rs4 K\AV

l, to4trot

'(- =

3r:

) l.E7 rY1

il"flV *)

+)e3ot "

\ l_,

a-.t=vhlFJ

Z5*r, L=Q*,,ty,Itg/s, fr=S

n1 : S A- U, ---r* 54"

CesWrne 3c-l-

t m\cT, *1" Zo +3o zs*c"

z

)obperii";, C. t -l-^t=

rJ*Lr^ C , lOt

Cp = 4,1'6r, r"osT/r3

?\.'\

Nu= #*-r$ ia =kh 6nxro-j( 362.7+, I -,*- r_. e-* , *

-

C. or_S

T =sdcko[s0, T, = 2c'q

1

,.y\

c-c

-rr6 v

l- ; Ett-ru':-u*f,\\kF : (l tklo\/-( \Q;6.01 \ \

\\o.CI a?b ( t?-)n''1pi1i, 7'l$t "a.cr23 (sr,\s( \\Yt ((.c,q\'

AJ,^= o.CIaa (t?-)n''rj,i\i, 57,1$t"+ )z:oc,3 o.o,-3 (s:,\3, \[* (e.cs)"u'i 3oZ"a4

I. /V,u/N

U

l*Jt.

X94 y lI *o,.,

- q 338. 57 w l^', v

AL{ ea",,

56,\t y\d

A.= "J4

I

)

c)

a 2*l aK*,,,?f ,'..,.

{lo1

(r/rr d)

\,/'

= \1 x'

5E,tt

b

/r\ r.^,

-r,o BA- %(oc

TiL

Lake

tt tt

T e? 'i.,'

lc, = o-).tt\\ 0s

\\

4\l I

t;u

6T.=

\=

L,

I 5"C., (r=U *r I s,1*=ttS'cc, (*,

Ltl;z

ls + ils

: 15 "c

: $rn ls

a

# j^ = Z,o7l

\ *-*L k ='l , !13

3| ,oof3 X tO-

Zo 33KC

q 1:+

,tQ

ProPn{+,

-O]

\(

6

e5 ,) r+-rlw R,*u ':

F*r cp s [, 60?3 x{d ]lk;k-?-5Sbo r'|

?3s 32s+35 a *325

?-,3. K 3zs? 5 o 3Ls

ffi35o -3?5

l, oo[,,2 -\\\xro5 thu

x ro-'W l^V

S * 1.066| ,oo\

h)

z,ozl Y t0 x

(p- \,046 []J-*

u O,63\t= /7=k

R" = .Sq'r*,)*

2, $13 xt0*=

\,c46.\ E ^ o,€L"o zl X

1* , SzY(.o'I

I0,nnr rt ftf

*L

t0 'r

('.5fli* *r

2.6?5- 1.3

;k -2.6t63,oo5*e,t{6

x. t gl,

Eu* a 4,(4X 4,6 4 XC,6

= O, l?(d4

0 ',3rr e , dttS'/:

= O,ttc)o{

sum

X..fq

X \c - =\\ \\\ '\\ \-\ "-

t\

- t \.

A.r :

rL,c:44x B X X*

/.gZ t y t6*5

\,2 rn

A\Y_ A=h (n - L.

N,,.

\v\ :

:

Nu,.

t/;, \c , dd 4 {?r,

'' t\F, '^

(o 66 +) (2 s-x*')' ''\;,(3 B3/s

L1?. ss

hx-- ffi t,; Nuh"k{

Lq7,55 x 2,3t3xto'o.6

lB. 4-1i v/ l*'l(

5

eJ=k(t.

)d)

U=o.t ^lr, Ti:6I-c, Io=Se.C-il^u : +-1 ,l' c

=*i i l#^; ; ;

";.{" i i'1

or,,

_!,, 6g"c

:4 t,( y'J"l,noo( T*:zI"(

R.: S o,rC)--%_

\t^l\ \\\

*Asr-\k\

\|v^"Tr^ra n ". ;-?-

?,=

Nu

0,645

: c.741''n'

r A r. o *"4''4-4/: \ J J. b

"64 W/,(

3x (0

o,t

)^,/3

{*?:

t1

!+ :'H)"'*..6'1(*)-(*l){"1

lVu =

cL*

t

hDk

h:h= -.1 Q.6*S._:t o,ltl_

O,Sj

Q.

Al4 (T^u - l; )-!f ro,oj x 2.t x g3,6+

13d- E(

"q./ \ fi-nJ(($?, 5 -1A )u/

T*

&. Z,L*.

\x O,

in\\4zrt\

6_ [= [.n/s

Ll = B ^ls,

l; = lZo'c,

fo ( Bo ,v,w\ /

T, J

./l

1w : tZo'\. --".'l

0jtot-p : t

t/t-t-

kot.1i)i:

nuy *A* 1

-rlmb r

T^a tsNZ_

rn tobt*u I

, OO 62 Xr r,3 Tl2.o"5 x {c,-5

3 . oo3 YLo-z-

o,6t"I .co 3 kr I

R* = SP

, ^f rvi - IU=- 1".

4 ( o "c.? x 0,\31 O, 1ZZTSA---r----I*_* -- -' -- i a

+kA o.o1 + o.(3J)

I " = l3j"C17'C * L7Z : 3so k

I,oot x x o.oZZ-4\4bL,O tb

,^3

xtu r

furhul*nr{ f1*'el

i)tg

as

2Bob

lr'l u: o.cz3 (Qnn'*Rn n=o'4' l')1

= o' ozs (665n )u'* (o'6s?)cr'4

L B'6t36

iVu = LU" -- l'': J4-- =Q*:r-ue-'[rydgdJf* U"*a c-0t1 =s37,77 w l;v

Cy,v!'

CriltV(r _r,)ff

A co.,,,,,-

4. Ba? x rd

KL

T^

It o.cT i(ts

\I

I\)

iB?77-'-\._, -,

x (ito 4

-") (r,oot?v "-)

(L - lSi

TLxrcv/

o\t S \ o.o7

l" ZC), rC

-71_

C[= 2,5,n^, 0 = zkw, ];:ZodoctJ. = [O^ ls,-T^v: s+,7

IIlntrn I e

TTl^L + lA) 5t +zcoa_

lTf'c -2?34ooK

P.u Y+t"*'.{ ]\Co = l.o rj 5 xrJ T /lj K.jf =

t z.rr{ *to-*5''q'ktk a 3.i (5 x lo-(w"h kp.: o,6tsG \\ \\)r: o'6tsG \3 - o. E Ez+ 5l*\

p so J o.5''rel T*

.-

Nu* =

\D = O,615

?+ xl o * z.S rtu'

l,

1,1

T'. u

,j\ (

\(6 (o .du 6)"

P)o.t

n

(5)ec{

g

b

{ o'(t

l^u):-6z ( zoo

(i

s()"""u

+&5 x eoo

\t,"52-- lb

:VK O\

\

I

U, tu-ls ',5- Y':

I

\I

nl/,t 'tlx :"iul

3 t6 5

o ?Es T*

o-27

5+

19.32 f,3.368x1u"1L.S Xro-r

L62.7+ w lm'ft

[= G.(27 m

Q- zkw.

r-,%u

zYtD3 z tr xzs*,o-*, I y s+)

6_

pf-op ef,tie r--T--

It rt1

{?lt\\-*--:F:l:-_riw Vr o,l:fl5Xio-2

Syro= T/tq k',U(o -6 kg lrn, ',

{ 1o-s W l*K

-L v to-3 W/t

cP' 4'11

l,= u:'kkF = 632

Pr: 4'3k r 63

I

weL(.r'3o"c,7o :5C".4*, T*:, ts"C6b^,-, Di --* KC*l*.,

L".btr lc,,.{

n(*|*^*, @i* n<{win* d

T,,',}Jt

ft)t

l^t T CoZ

#{

3) + 5o 10+o c

E?, 1d

o,oEoc-

^z\4/{=-J1.., Au

k\i

k,-61r*3

r-[kltr*=i]iln (D. \- b,)

D;o-c (o

02m

a: 4d_nlil/

D

R.: su! :U dBr xro-o

= 3 c +st.l U

Itlu * o,07q R.''* P.n -,I)T;:- {} : o.4

= o.cszr (So4Bl.l)"-*()o't@,3) 'u

\ BT,*5? (Jo u

,^n : S A'.U\$ gg2,\((Rto,or,i-6o,,1 ) U: . \ Z,t RlF.? l

I

\2 , \a i; t t 4 \1e, td) (r" =\1

\'/ \'- ""\q , ,.\

\\\,r\-\r?-353,t72d = \;1151,1 l)"r

: \b(.fi5 I U - -L=N*

A,L ?

0u'

= 5,13(BzI r -\cf n^lr ):VJU

\

fy) =l

' -(a1lL,I1KUU

61 6

) L̂:

wao n{ = 5 \,L$€' kW l':I-..:.

6_

Ul,ll

/=

_ol

3(>. C

4r*

T'

\\'\

e. oZ ry1

T Cc"c,o

T* - SS'C

r> - t^$ o t 6r:

Dq,

c-\s u,{ne

-TL' rtk)

;*5*C

k6 t^:

?*

% to,z5*C-P

I,(t'IK!P,r-\r(r

\- , \4, t sl x(u\J/r$534 Yl) o h., l^')kss trro* rnFl*k

/V, : e, Oz3 Pu"'

o,o?_

23 (fec Ko,r)o'u86.33

,? x L x

\ xlo'f ^ ,s60,1

P,q

a't"[' i*nf

t-; Tit"l= o.t

(s, t3) 6 T

o , loo 39r r 5-z

[], I,,brVU

t kAJ,^ (rstxtD-S x25d'i5lL

---- .D* o'o2

: %134,3 Wl*.K

Q"*i{r\.\ : A\,L S$- d T,h)

=[("..r.o \.) ,o] xets+.s ^ (g*-k)

= 603,d'P xlo3 W\ .\

to3.Lle x to3 = ( 33o,, \\t0,ota -0 o6i-a) 14,rbr,ra(1- -3qx tos = ( 30o., \\,

\IN,,Ntc" k.

,fn 2"J a*strmp{:ion

g\

l\\t'l\/\-/ drij, j:

Au/= ll

OOt,t,,r

,,1 .\

,,/ \"\,

\

II

I

Iii/,. i

l,

\/,\ '\-7'

lt\t)'Jd-)

€

T-o

/'^()Y

,r\*"(

)\_/

^lKnllsU

,-\ ,-r I Ct\Jt,_)l J )ry\ i

A/=tt,o.i: ?()

-._ , _fu__

3r5k

t5

31 5kfu.

I

xta "-

Tr.,'J 5-.

.')

-\D/

325 ke\

_\_L)

Z()r

-?

:

=

I

a,Ir

S"-"D

Y\rr =

_s*I

/r\)\_., fn q y

^l1l\\--^0 --+--:r - U,,h,uT{rl

:r (_, t/'1 ft\

*r.

l, o09 Ulh^3

7, , \ xt,x;o tY l^'

3 5d, zsi

i 3sok

Fn f ,,rli.:' ft{ T^t

SII \,V

-l-^U

T"^ t

CP

Ak

assurh

6s7F. : o.

3UJ l, oog ( l6 x o.o($a)l(e x ltl - $

a-(

&I

Z,o?5+7bz{ /lo'v-l,x 0.G s?

\J,N

\).:\*YN "-i/\l^=

,)*

rr (t = l\,J )U

/.,

6 Rno'u 7 63

c.6t3 * l+1h2,q.s*'d

\;:.4rI""1?.iv\ \t''o

\r,lR-T*/

173,471v 3,or:3xr,+2g,o!5

2742 xro3 W,l*'k

At =rrb/ /V:

/'- ..,

1\,, h

m: S, {nt(r =t,

/^\1rt

( s; s - se +) :l-gi-lI'q (=,il {j)

j 6,o67f

3u*

N-[^ a

)5 Kzb

r 3 5,0 (7

X

7A=

a

\0

,l

*-.-*.***;l

*"" i t*ta'a t

,-* \/\/ltt\/\,1\--J

I

i

il

I

\i!\l\r

"/'\\_.-

u*-.*_".**-*

llL'*: ti

r,J - t' ) ..^ ,t

ij

'*i.,t'/ ,'

,i

,A*/\rnIII .."-\yt "::

r1-I(t)\ \,/Y

I

/, 1\?|

\ '-t---/ l\t\-,'

N "1/ {

f^ *7+ ti-:-::rr-*,,

"t-,I /-

\Il

.---./ ,'r/-,

r_-'---_')

r)l\JI

\AAU\+oC, T.

= Lo(>oc t

, 50^az

=a4 'C , &" a 5^,.^

Sr-= 3l'5^*/Uoo :6,'3.1s

T'=l1r,B1

T^u T, +T, ?4l!=?*

*t"n \ oc)

, 6 5 ri,l-:,

4\" <

a4 quc- I L' v/

.r -,f

a -la -(: > \-

?agxro ttL^

T'w\ f

F r* P s-r[i *s

t

O,Io2(xtr.'t

rnAVt

U* at ^L

?-

Tn"b + ]-,rL

tF

d

0

Ik,

P

C0

,20

(C

6

4,lg 4 r {r

= 31 4 [: 66{ Yt

l^l"l'*(

3

r-a i i'? r,-'\?J-1 rr\ ),- *$?ll-'i ':r ^,: \ il." *icl"

: 0Z.S dtlL

/nlol.

U rh.,y

Dl\t =

:;r' I:_)_\J:-., ?_f

I

= 3troSo'24

N r,.

\r Jt,?I,E

l\ -q-'q (J: '1. 3 ?c->

df \r*T*

NJ, k

o,6o ?5tY 33ogo x 2,3(

\Z,T\

e - o,?3K

6le,es u, kdtro3o,O Z_I

/6,31c W l^'k

63 (

s? 4 \ o./t

)??t

9

aN

\

A" \,i

1;

( too - z+) - (roo-:j) -

1..{ t?-o -at\\ loo--{q

)+6,6{4"c'

_n| \ llTr \,"{l I l.--' t' l\)

^

()Y fn

'--l-1

Cp

ne'fyt =

in\ iJ

\IT vo u^(

.,, v4-,ttc urrf '(;* ''-)

l"'.lt ,,, lr. { :: u/ ,.:,

l.<L- / \/ \J L,IJ

{"* q,

X^\/W\

A/o)^( \ri s\ .) (+ 6' (,'4)

-: (o\sx mrtAit4,c4k- t\\\\

r^rl

. \rr-

1

'\-l{!V,l\'\\'\:... \

tr \ \

\