cJascmate

Date

TutoRAL3 0S3
O (a) h6voS86 (o5)
Q. hA ) -G.956)C8)(30 ) -246

(b) h- 86 ()os3 -86 /m'c

: hs (Ts- To) -868 (30 ) 356u

(o) ho S6 yos 8 6.(2) 10-66 wlrc

has CT-Tao) 0-66x8x (30:)

() he s6 y055S-6 C) 12.42
- w/mc
`: hAç Cs-Too)n.42 x-8x C30-1) Sl4. 2W

Gen S b138
QA 293Klotn PrO109
G293K Ethylene lycolPra 211
Pr

211o355
*. for ethylene sycol8, 0.355-= 669

3
3
f- 292 kslm
Cp b006 KJ/gk.
Pr O 362.

As (-To) (obxi8)(4)
 Jt

The ftction coelf trorm

as.
onalogy mlifted Poyeddg
2h Pr
2(16 2) (o 351)
292 x(e3) (1o8)
o-0009146
The diag orce
2

2 :(o-0009IHG JCoszl2) 1
X t.292tor3.6
2

: O3iS N

65+35 Soc
2 2

K+ O-024 35 hN/m

Pr 1228
Re : VL 4XO-25m 5561

V2 /3,
Nu. hl
K
(ss61)(o. 7228) 73
= 0. 664
he 140.5xo.0213S sl524/m
O. 25

As = ol (-25s ) (o-25 ) o 062S m

37) Co O625) (65-3s)2883

hAs (Ta-T) =(s.

- 4 - 8 ’ 4 Noa onsis tors Canbe

ne 2883 place 4.
 classmate
Date

) ; 230425 -255- cOk

2 2

K: 00 338 i/ak

GO O.oS
Re 26 xO 6
Rex SyinS
VRea,t 26y1x0m%
2641x(0
6Om<s

The heatr requieng thene maa deotriral poris that

for which 'h' 5 lorsest Knomtng hoo loca h' vartcs
with distance rom the kadlig edge ue corelude
that there 3- possibilbtes
C)l4esterL shce st corresponda to the largzst bro ain
c2)Heater- S, siace ît Corresponds to the largest local, turbalent 'h
c3)Heter 6, stnce turbulent cond bs axíst aver he catre heater

for hy Nu, : OG6y Ree, oésyx(Hy YID5) (O69)

Au, 98
198 x0-o338 -34 wm2K

Ttoy 134xO.OSx) C230-2s) 134OW

tony, 5
for h
V2
Pr
Let = 4Re, 456xD
Reu O-664x (u.56 XO5)2 (o69)3
Nu
-3961
 hu Nu,k : 396y 0-0338 61 yk
Lu O2

conv.s :(ax025 - 6910:2)xix (230-25)

for his Res 5 Re,

Nus (0037 R-8a1) P,

(oo3x (S70Y105) 891) (o62)

Nue k $46x0-0 338 y whn

O- 2

Strilarly

for hiyNu, (o032 (&8A Io5) 45.811)(o6)

=153

684X1o
7S3x0:0338 5wltk
Nu, k
O30
Le Lx(230-25
o 3o- Txo-25)x
leonv 6 (85x

con6 (y40
> iony>tony,s
 classmate
Date

cnqin oil al 0O120 éo'c 333*

O.tx L161 lamainar.

5xIx ul6I)
/3 /2.

b) local convection coef;

Nuy: O. 332 Re /2 pr 3
h

| : 16.25 wim'k
2

(Ci.x) O664 Re t2
C,

2
2
|T:o0842 Nm
 Ihe dag fore | unit wiidthIs girven by,
2L Ts,
C1 328 Re")- 1x86uyo38
x(1161)

O337
o lanminar lo, he avg he oror Otol is tate the
local
Inal value , h h 2he 32.5
The total healtransfer p unít wid oi Bepake
': 2Lh, (T-To) 2*(x32 5y (20-I00) -szo0 -
1':-52 o0 Wm

2 2

60°c - 333 k.
3

Pr: O- 202
WidH ot the cooling Sectin !s,
i, : Uxat 60
Sms
x2

l899x/05 lano
Re,- vL 3xb 2
l816x10s
O.664 Reosp, s x(O5)?
Nu hl
Co 2202) /3
-259:3.

} 2 2

2X 2A O-S b2rm
As 2 Lw
CTs-To)(6-o7) C 2)(90-30) 437N
tonv
- hA
 cassmate
Dote

(fo A1S1 10O steel

C549 J/kgk
Inittal rade ct hed tronst,
J- 83 2 kglm 4.26 As CT;-I)
for ar @T:: 30020 433K -2k L°I;-To )
2

-3.24x10
l=o0361 whk
Pre O6S8
tomirar
Nu =0 66l Re Pr3. o64(3.29 yI05)2(oa
= 336.
h k (Nu) o. 36! 336 )2-/mk
2
2x12.| X y(30o-200) =680
ustng energy halance, Eh4-Eous+Ege Estoe
-)h2CE-To)PSLT
2x12x( 300 -20o)°c/
832x O-06 YSY9

9-34w Assums to be
Tolo°c
Surpe bop for
36d ky/m
D-30cm -o3n

@o,
keO 02439 w/m

Prioa334
 o3
Re vD : 36 204534&2 ) ;ominar
426r10-5

:24(0.4>20u53432 0C% 204/5343, ) (o315)

(6 334)
>/733 )
- 341.251

h k Nu s o.O2439 x 34)-25| t 24.74 ?

2
2
AsA_ TD- n Co:3) =
=0.2 24 m

T -12-68°C

-60+2S 42-5
2 2

(QT air, ke O-o2681 bwImc

Pr- o-4248

(2*7) (o) (ooos) ooo7my

As. finne! - (o.062)-x(o-002)(o):o0S
As,wfhad i(o.) booR= oMR
O-001 4
2

As, total = As pred AAs. wnfnnd

WT, 2

nAs[To-s) loos)(o5.
 /80 6'

18064
23 28 - Vl V. 72328x V
Re,
23 23Y|426 Xo

v s s3 mys.

2
2

Tac.
K- O02662 hm°c

Pr O.255
Re UcD- lOx1000 yQ2
3600

1- 702 x I05

LNug-CRpPrs C=O.O2 mSOS

EO-02gx(396 xO 4)° (o-7255) 44621Al

he K O.02662 yy.62 32-O8 w/mC

O12

As: TI Dl T (0.12) C(2) 452Ltrm

hAs CI -oo)32-o8 x4S24* (4S-5)

10IS66w
[S93) - (o29

Qcony lO)59.66+ (81o- (2029:66 J

 10 hews orkday fs.

K l00 wmk

k:ooS wmk
gosea. Te 4cC k.
Pr 064

to time,
T the mpd copaciBonce Onalysis rmay be aed.

hAc 24»-)
Dfc lnl50) 2
R e S00ot
,
6h
Naseching ls.
/s) P

hioos 2+ (0.4 10o'4oO6(10o)

h: 328 w/mk.
Cooder,
may be. se

6x328
(13):IS465 - 46°c
2

k.o 631 lmk

Mo653 xIDams
: 432 V. 08ms.
Vma St yt
Oo4-03
Yrmay2nm/s
Rep.max fNaa 992
992x):2 XO-0 , 232

Nuo = l3 C, Rep.mo Pr 3= |.13 YO.286x13232 4.32)

205-049xb63) a 12938-6 w/mic.

O00

Consider a tubes nthe transpose dirn (Nlarral

to floo)

As. Ntube 0LIXN)T Coo)(4)Qe1251 N

LMTD (s-T)-(T,-le) (9o-15)(90-65 45-5TC

-Te

40l6-6SN
mfA999-*4x0o3xO-8=4S kgs
 2 004 xI

74016-65 N 2.00"yo>N, 22024

9 Gíven.
S 34.3mm D16:mmm Jtaggeed
ST 33 mim
2

N-, N
V:óms.
Stne N<I0

K: o02iwmk
Pro-os
2 (SoD) 2-6 mm
S-D 14.4

S-0 363-16 4
12-6 xoO164 87S-86

G044,G0-229 , n O-632
Auy 13 XO-229 x6.7y (183586)0s lo.05) 3
Nuo-83998
 cdassmate
Dote
Poge

- 83-49 x O-o214
D O.o64

Fo To., -TDNh

-T|YO oI6VY56xI40 39
-55 xerP

55 - u ] 34.35
s
n

q': N(nDATm) = 561 x14034x00l649 35

9'
- 19982 S2 /m

PL,So =2-o9

AP: 4x)-04 xO3S (-217 x 12-6

2

bas
 Tm o24
2

Tmmater,
3

Hat of vapourízotion o) voate £t 3o is hi, s2431K

2
998.1X0-012 y4 Q.458
kgls

The rate of heat thanster or

for one tube îs

ýCp (T. -T:)= (0-4518)(YI838) (24-10) -26, sD

d.
24-10h3e
n/30-24
30

= 2646O
A_ oTim O-885xll-43

he 12-) Kw /mc

Ihe total te ot heat transfer is

364.65 Kw
= (015) (2431)
total

No of tubes, 364,650=13-8 B
Qtotal
N4ube 26Y0)
 for air to be
the
the bulh monn tnp
mean temp of air at the inlet
15-Sine
ll rot drop
Slnifcanty becauuse the aurfaes are at Ao°c
Du
P

Pr066

- 65 168>

L is meh leser lahorter then the total legth o He

asswne fuly daeloge d teobnl
duct. Thertfore, we on aune
Po in Hhe eitie du, and deteme the snt hmbey
Nup hD =0023 RenP
k
)neo.3
O-023x65163xO-66

hed tronster Cce! Ch) k Nu: Q0917x|478 283

For eyit teg cit
A, tal- 4ioi5XI0-6m
m: p lo14x o.2- 02 028 ka/s: 29.13X6
T I-(,-T;e hVmcp o-(I0-75)e (o2023)(ia$

tnfle
12.15-1S5e
: hA, (MTD (23.3) (6) (3-377) S82
 A

: S\O0S8 25 -12600>2300Turbalet

Nu: hD
kD c0sRe,

c
2 n k Nu =002625x 5043 -22-33
Dh OO582S

The eit tag a a can be foud using avg sujace tg

bo+20 40c
-

Ch.ay-7;ep

(he tep rise ai is

30°c =23°
47-33. j- =1332
32-3)-3O
LMD =
20-3o

)C1S 32).
ha LMTDa :(223315
 Date
Poce

IMTDabhi; 34-3|- 30 -26.11

60-30
5-7;

22.:3x5 26 17 = 2975

Net rae of heat thonfo boremy,

fb(84 kylm3
K-0-0255| W/m
:562 X0-Sms

Pr: O-729 6
Aro O02xO-14= O-O0028m

2(o-coz10|4)
Re : Vaua Du 4XO003944 oo <2300) lainar
.562 xIOs

*00SxlotoxO 7296x0.003 94Y

O4S3<0:2m
We have developing Po.o thngh mos o the channe
Plovce ve, eteke he conservotive apprcach 4a8ume dlly
daeleped foo
0-2
Alu.24

O-02551 x.24, S330m

Q-00394
 dlssmate

Also m-fVA- 184z 4r (0 00b2 &) -ocoI326 leal

exil
Heat un at exit, hT,-Te) ,:soe ad

Can he deteimired as.

hh(T Te ): mCp(T-I;) (T-15)
533X0.0o28 (50-lo.0013 26 kals x1c0 I/e
335°c
O001326XI007 (335-Is )
Qman mCp Cle-;
bulk mean tep of ai s IS13-5 243?c
The

9) Ld us asswme
bulk meou

J/kc
Pr: . 3228_Cy l01 Re :Vaug Du : 4xo 2
A = 4al yYo.2 x12 798xlos
a Q:0:2m
Dh yA
P Furbadat
2<<12m
L li l0b), - (Dx0:2
tur bulent Plo fos the
We OBsue fally developed
eutre duct oo23 Re
Alu: D c5o023 X(yy49)Co.7228)0 3

4.93 w/m
2
 classmate
Da'e

troa hol cur

In stendy cpesahon,hcat transfer
duct mmus! equal the heet Imnstfe fron ke
ConV radiatto) whchmst be
loss He du
QOcenva:s Qionvirat,cd : Ehot a

haAs (-T)+£A, o (T7)

EIOx9.6xT-o)+o39.6x (5b7X(o-)

unknons are we
gel.
-2622 To els.c T -33.3°c
Hot afr ll ae ose heat at
he ducl at 45 arate f 2622wevE
he buk meon
temp s 604
45:)526c whih is
clesed to aAmec temp Soc
 bullk

The hat

fr Jakad the inled and the moss towrde of

exhayt gaxel art,

0-1085 X x0-05x
o009738
The Sate heat tanste is. x(Ó29)C300+50)
C(-Te )' (oo0943)

heat trinafer co
As STum (7TDL) (4Tm)
7854 m
A: T1DL ix(0-05) (5)= 0
50300 }.32k
tn 120-SO
l20-300

ISo3 22-86 lmik

83-42x0-7854
IS033600
rete of water ovaporaion rs, mconde 2203x1D
=2-457 kylh
 classHate
Date
Pace

(2) Poperttes < lig hatea at the bullk mon faid tog of
6045 32-5C are,
2
3.

Heat a vopouri taion of waten Q68°c s huy PlI38 KJlks

The total rate of heat transfer fronm He Condensahn
Qohl ico ku CO6) C2338)-(402-8kLw
The ate of heat troualer for one kebe i

for h
Q=hAs ATiihe
- 5-60 26:65k 2004 kw
ln6o O-3927x26 55
68-s
he (95 wkm

Rote of hat trauwser far one fube is.

0-R72L
200400w:
18x(60 -5)
tlater mean veloiys,
1948x0XO025
P..Assumt, Bulkimon ternp odr be 2st kga
afr @s?c.l-1134lylm
k:0 0255t w/mc
U-1562 XIDm
Cp i001 J/hgc
Pr O1296

Nlole thot he echic ene34 corsned by the fo ts

Comtr ted to thema energy, the im of airis.
gx12410

head generated by Hhe ten tts Mbtor B,

O943°c
O-o1053x007

(c)for mean velocity of ait is,

(0oo53/8 )

Dy HAc ux(ooo3) (o-12)

P
2 (o0034 OI1)
(3098) Coo58s) H52300 Laminar:
S62*o-5
 clAsSMate
Dafe
Pace

)u-&.2
to,
b O-3

Du O-00585

Ihe highest componenl surface tasp nlloccu ad Hhe

exlt the duct Assuadng waifon hot ui, thear
tenp at he exit is dekersine fom

(8x(2 +O
Sx2{ot01S40003Y015)
le 60°c
359:
. The hgkcst
highest alloaadle inlet tep Hhenbe
Henbe dcomia al,
T;:So'