m 8 Teacher Slides
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Transcript of m 8 Teacher Slides
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Condensation occurs when the temperature of a vapor is reduced
below its saturation temperature
Condensation heat transfer
Film condensation
Heat transfer rates in drop wise condensation may be as much as
10 times higherthan in film condensation
Condensation
Drop wise condensation
Film
Ts
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Laminar Film condensation on a
vertical wall (VW)
Condensate Film
g
y
y
xTsat
(x)
A
T
y
x
AA
y
yyu
l
yyyu
l
ygA)vl
(
A
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Laminar Film condensation on a
vertical wall (cont..)4/1
lwsat
3
lvlfg
4/1
vlfg
lwsatl
)TT(x4
k)(gh
)x(h)(gh
)TT(xk4
)x(
fg
wsatL
fg
wsatL
4/1
lwsat
3
lvlfg
L
h)TT(Ah
hqm:rateonCondensati
)TT(Ahq:rateferheat transTotallength.platetheisLwhere
)TT(Lk)(gh943.0hcoeff.Average
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Example
Laminar film condensation of steamSaturated steam condenses on the outside of a 5 cm-diameter
vertical tube, 50 cm high. If the saturation temperature of the
steam is 302 K, and cooling water maintains the wall temperatureat 299 K, determine: (i) the average heat transfer coefficient, (ii)
the total condensation rate, and (iii) the film thickness at the
bottom of the tube.
Given: Film condensation of saturated steam
Required: (i) Average heat transfer coefficient, (ii) total
condensation rate, (iii) and film thickness
1. Effect of tube curvature negligible
2. Effect of liquid sub cooling negligible
3. Laminar
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Example (contd...)
Condensate Film
g
y
y
x
Tsat
(x)
A
T
4/1
lv)wTsat
T(L
3l
k)vl(g'
fgh
943.0_h
:bygiveniscoefficentsferheat trasnAverageThe
3m/kg03.0vkg/J610432.2
fgh
:propertieswaterofTableFrom
Evaluate hfg at the saturation temperature of302 K
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Example (contd...)
kg/s1033.7)10432.2(
)5.0)(05.0()3)(7570(
:israteoncondensatitotalThe(ii)
KW/m7570)1087.0)(3)(5.0(
)611.0(03.0996)81.9)(10432.2(943.0
943.0
/sm100.87
kg/m996
W/mK611.0
for waterAlso,
46
2
4/1
6
36
4/13
26-
3
fgfg
lwsat
lvlfh
l
l
l
h
TAh
h
Qm
TTL
kgh
h
k
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Example (contd...)
m1008.1)81.9)(996(
)1067.4)(103(0.87Hence,
kg/ms1067.4)05.0)((
)1033.7(
:isfilmofunit widthperrateflowmassThe
3
isthicknessfilmTheiii)(
4
3/136-
34
3/1
l
D
m
g lvl
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Boiling occurs when the surface temperature Tw exceedsthe saturation temperature Tsat corresponding to the liquidpressure
re)temperatu(excessTTTwhereTh)TT(hq:rateferHeat trans
satwe
esatws
Boiling process is characterized by formation of vapor
bubbles, which grow and subsequently detach from the
surface
Bubble growth and dynamics depend on several factors such
as excess temp., nature of surface, thermo physical
properties of fluid (e.g. surface tension, liquid density, vapor
density, etc.). Hence, heat transfer coefficient also depends
on those factors.
Boiling
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Pool Boiling Curve
Pool boiling regimes:
A-B: Pure convection with liquidrising to surface for evaporation
B-C: Nucleate boiling with bubbles
condensing in liquid
C-D: Nucleate boiling with bubbles
rising to surface
D: Peak temperature
D-E: Partial nucleate boiling and
unstable film boiling
E: Film boiling is stabilized
E-F: Radiation becomes a
dominant mechanism for heat
transfer
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Modes of Pool Boiling
Free convection boiling
Nucleate boiling
Transition boiling
Film boiling CTCTC
CTC
CT
e
e
e
e
12012030
305
5