Noncondensable gases deteriorate heat transfer in the condensation process. It is therefore necessary to study vapor–gas condensation heat transfer process and analyze main factors influencing the process. Based on the double-film theory and the Prandtl boundary layer theory, this investigation developed a mathematical model of gas–liquid film thicknesses and local heat transfer coefficient for studying laminar film condensation in the presence of noncondensable gas over a horizontal tube. Induced velocity in the gas film, gas–liquid interfacial shear stress, and pressure gradient were considered in the study. Importantly, gas–liquid film separations were analyzed in depth in this paper. It obtained the distributions of gas–liquid film thicknesses, local heat transfer coefficient, condensate mass flux, and gas–liquid interfacial temperature along the tube surface, and analyzed the influences of bulk velocity, total pressure, bulk mass concentration of noncondensable gas and wall temperature on them, providing a theoretical guidance for understanding and enhancing vapor–gas condensation heat transfer. Gas film thickness and gas–liquid film separations have certain effects on vapor–gas condensation heat transfer. The average dimensionless heat transfer coefficients are in agreement with the data from related literatures.

References

1.
Lee
,
K. Y.
, and
Kim
,
M. H.
,
2008
, “
Effect of an Interfacial Shear Stress on Steam Condensation in the Presence of a Non-Condensable Gas in a Vertical Tube
,”
Int. J. Heat Mass Transfer
,
51
, pp.
5333
5343
.10.1016/j.ijheatmasstransfer.2008.03.017
2.
Lee
,
K. Y.
, and
Kim
,
M. H.
,
2008
, “
Experimental and Empirical Study of Steam Condensation Heat Transfer With a Non-Condensable Gas in a Small-Diameter Vertical Tube
,”
Nucl. Eng. Des.
,
238
, pp.
207
216
.10.1016/j.nucengdes.2007.07.001
3.
Hasanein
,
H. A.
,
Kazimi
,
M. S.
, and
Golay
,
M. W.
,
1996
, “
Force Convection In-Tube Steam Condensation in the Presence of Non-Condensable Gases
,”
Int. J. Heat Mass Transfer
,
39
(
13
), pp.
2625
2639
.10.1016/0017-9310(95)00373-8
4.
Seungmin
,
O.
, and
Shripad
,
T. R.
,
2005
, “
Effect of Non-Condensable Gas in a Vertical Tube Condenser
,”
Nucl. Eng. Des.
,
235
, pp.
1699
1712
.10.1016/j.nucengdes.2005.01.010
5.
Leonardi
,
T.
, and
Ishii
,
M.
,
2005
, “
Condensation Heat Transfer With Non-Condensable Gas for Passive Containment Cooling of Nuclear Reactors
,”
Nucl. Eng. Des.
,
236
, pp.
1789
1799
.10.1016/j.nucengdes.2006.01.017
6.
Zhua
,
A. M.
,
Wang
,
S. C.
,
Wang
,
Z.
, and
Liu
,
Q. L.
,
2009
, “
Mathematical Simulation of Steam Condensation With High Fractional Non-Condensable Gas in the Dewvaporation Desalination Process
,”
Desalination
,
243
, pp.
145
158
.10.1016/j.desal.2008.04.021
7.
Dehbi
,
A.
, and
Guentay
,
S.
,
1997
, “
A Model for the Performance of a Vertical Tube Condenser in the Presence of Non-Condensable Gases
,”
Nucl. Eng. Des.
,
177
, pp.
41
52
.10.1016/S0029-5493(97)00184-2
8.
Dung
,
S. C.
, and
Yang
,
S. A.
,
2006
, “
Second Law Based Optimization of Free Convection Film-Wise Condensation on a Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
33
, pp.
636
644
.10.1016/j.icheatmasstransfer.2006.01.013
9.
Katote
,
S.
,
1985
, “
Effects of a Small Amount of Non-Condensable Gas on Film Condensation of Multicomponent Mixtures
,”
Int. J. Heat Mass Transfer
,
28
, pp.
407
414
.10.1016/0017-9310(85)90073-0
10.
Hee
,
C. N.
, and
Hyun
,
S. P.
,
2002
, “
Non-Iterative Condensation Modeling for Steam Condensation With Non-Condensable Gas in a Vertical Tube
,”
Int. J. Heat Mass Transfer
,
45
, pp.
845
854
.10.1016/S0017-9310(01)00176-4
11.
Juan
,
C. R.
,
Jose
,
M. C.
, and
Alberto
,
E.
,
2008
, “
Non-Iterative Model for Condensation Heat Transfer in the Presence of Non-Condensable Gases Inside Passive Containment Cooling Vertical Tubes
,”
Nucl. Eng. Des.
,
238
, pp.
143
155
.10.1016/j.nucengdes.2007.04.008
12.
Shripad
,
T.
,
Revankar
, and
Doug
P.
,
2005
, “
Laminar Film Condensation in a Vertical Tube in the Presence of Non-Condensable Gas
,”
Appl. Math. Model.
,
29
, pp.
341
359
.10.1016/j.apm.2004.09.010
13.
Tang
,
G. H.
,
Hu
,
H. W.
,
Zhuang
,
Z. N.
, and
Tao
,
W. Q.
,
2012
, “
Film Condensation Heat Transfer on a Horizontal Tube in Presence of a Non-Condensable Gas
,”
Appl. Thermal Eng.
,
36
, pp.
414
425
.10.1016/j.applthermaleng.2011.10.058
14.
Chen
,
C. K.
, and
Lin
,
Y. T.
,
2009
, “
Laminar Film Condensation From a Downward-Flowing Steam-Air Mixture Onto a Horizontal Circular Tube
,”
Appl. Math. Model.
,
33
, pp.
1944
1956
.10.1016/j.apm.2008.05.003
15.
Chen
,
C. K.
, and
Lin
,
Y. T.
,
2009
, “
Turbulent Film Condensation in the Presence of Non-Condensable Gases Over a Horizontal Tube
,”
Int. J. Therm. Sci.
,
48
, pp.
1777
1785
.10.1016/j.ijthermalsci.2009.02.003
16.
Sarma
,
P. K.
,
Vijayalakshmi
,
B.
,
Mayinger
,
F.
, and
Kakac
,
S.
,
2002
, “
Turbulent Film Condensation on a Horizontal Tube With External Flow of Pure Vapors
,”
Int. J. Heat Mass Transfer
,
41
(
3
), pp.
537
545
.10.1016/S0017-9310(97)00192-0
17.
Yang
,
S. A.
, and
Lin
,
Y. T.
,
2005
, “
Turbulent Film Condensation on a Non-Isothermal Horizontal Tube-Effect of Eddy Diffusivity
,”
Appl Math. Model.
,
29
, pp.
1149
1163
.10.1016/j.apm.2005.02.012
18.
Hu
,
H. P.
, and
Chen
,
C. K.
,
2007
, “
Effects of Eddy Diffusivity in Film Condensation on a Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
34
, pp.
52
61
.10.1016/j.icheatmasstransfer.2006.09.007
19.
Liao
,
Y.
, and
Vierow
,
K.
,
2007
, “
A Generalized Diffusion Layer Model for Condensation of Vapor With Noncondensable Gases
,”
ASME J. Heat Transfer
,
129
, pp.
988
994
.10.1115/1.2728907
20.
Rosa
,
J. C.
,
Herranz
,
L. E.
, and
Munoz-Cobo
,
J. L.
,
2009
, “
Analysis of the Suction Effect on the Mass Transfer When Using the Heat and Mass Transfer Analogy
,”
Nucl. Eng. Des.
,
239
, pp.
2042
2055
.10.1016/j.nucengdes.2009.06.003
21.
Kutateladze
,
S. S.
, and
Gongonin
,
I. I.
,
1979
, “
Heat Transfer in Film Condensation of Slow Moving Vapor
,”
Int. J. Heat Mass Transfer
,
22
, pp.
1593
1599
.10.1016/0017-9310(79)90075-9
22.
Herranz
,
L. E.
,
Anderson
,
M. H.
, and
Corradini
,
M. L.
,
1998
, “
A Diffusion Layer Model for Steam Condensation Within the AP600 Containment
,”
Nucl. Eng. Des.
,
185
, pp.
153
172
.10.1016/S0029-5493(98)00232-5
23.
Brouwers
,
H. J.
,
1996
, “
Effect of Fog Formation on Turbulent Vapor Condensation With Non-Condensable Gases
,”
ASME J. Heat Transfer
,
118
, pp.
243
245
.10.1115/1.2824052
24.
Peng
,
B. H.
,
2007
, “
The Effect of the Interfacial Force to the Condensation
,” M.S. thesis, Hebei University of Technology, Tianjin, China.
25.
Yang
,
S. A.
, and
Hsu
,
C. H.
,
1997
, “
Free-and Forced-Convection Film Condensation From a Horizontal Elliptic Tube With a Vertical Plate and Horizontal Tube as Special Cases
,”
Int. J. Heat Fluid Flow
,
18
, pp.
567
574
.10.1016/S0142-727X(97)00025-8
26.
Yang
,
S. M.
, and
Tao
,
W. Q.
,
2006
,
Heat Transfer
, 4th ed.,
Higher Education Press
,
Beijing
.
27.
Hsu
,
C. H.
, and
Yang
,
S. A.
,
1999
, “
Pressure Gradient and Variable Wall Temperature Effects During Filmwise Condensation From Downward Flowing Vapors Onto a Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
42
, pp.
2419
2426
.10.1016/S0017-9310(98)00314-7
28.
Wang
,
S. C.
, and
Cheng
,
H. L.
,
1999
, “
The Saturation Vapor Pressure Calculation of Water
,”
Henan Chem.
,
11
, pp.
29
34
.
29.
Kong
,
L.
,
2000
,
Fluid Mechanics
,
Higher Education Press
,
Beijing
.
30.
Rose
,
J. W.
,
1980
, “
Approximate Equations for Forced-Convection Condensation in the Presence of a Non-Condensing Gas on a Flat Plate and Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
23
, pp.
539
546
.10.1016/0017-9310(80)90095-2
31.
Ma
,
X. H.
,
Zhou
,
X. D.
,
Lan
,
Z.
,
Li
,
Y. M.
, and
Zhang
,
Y.
,
2008
, “
Condensation Heat Transfer Enhancement in the Presence of Non-Condensable Gas Using the Interfacial Effect of Dropwise Condensation
,”
Int. J. Heat Mass Transfer
,
51
, pp.
1728
1737
.10.1016/j.ijheatmasstransfer.2007.07.021
32.
Shekriladze
,
I.G.
, and
Gomelauri
,
V. I.
,
1966
, “
Theoretical Study of Laminar Film Condensation of Flowing Vapor
,”
Int. J. Heat Mass Transfer
,
9
, pp.
581
591
.10.1016/0017-9310(66)90092-5
33.
Fujii
,
T.
,
Uehare
,
H.
, and
Kurata
,
C.
,
1972
, “
Laminar Filmwise Condensation of Flowing Vapor on a Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
15
, pp.
235
246
.10.1016/0017-9310(72)90071-3
You do not currently have access to this content.