The diffusion layer model for condensation heat transfer of vapor with noncondensable gases was originally derived on a molar basis and developed from an approximate formulation of mass diffusion, by neglecting the effect of variable vapor–gas mixture molecular weights across the diffusion layer on mass diffusion. This is valid for gases having a molecular weight close to that of the vapor or for low vapor mass transfer rates, but it may cause serious error if a large gradient in the gas concentration exists across the diffusion layer. The analysis herein shows that, from the kinetic theory of gases, Fick’s law of diffusion is more appropriately expressed on a mass basis than on a molar basis. Then a generalized diffusion layer model is derived on a mass basis with an exact formulation of mass diffusion. The generalized model considers the effect of variable mixture molecular weights across the diffusion layer on mass diffusion and fog formation effects on sensible heat. The new model outperforms the one developed by Peterson when comparing with a wide-ranging experimental database. Under certain limiting conditions, the generalized model reduces to the one developed by Peterson.

1.
Colburn
,
A. P.
, and
Hougen
,
O. A.
, 1934, “
Design of Cooler Condensers From Mixtures of Vapours With Noncondensing Gases
,”
Ind. Eng. Chem.
0019-7866,
26
, pp.
1178
1182
.
2.
Peterson
,
P. F.
,
Schrock
,
V. E.
, and
Kageyama
,
T.
, 1993, “
Diffusion Layer Theory for Turbulent Vapor Condensation With Noncondensable Gases
,”
ASME J. Heat Transfer
0022-1481,
115
, pp.
998
1003
.
3.
Kageyama
,
T.
,
Peterson
,
P. F.
, and
Schrock
,
V. E.
, 1994, “
Diffusion Layer Modeling for Condensation in Vertical Tubes With Noncondensable Gases
,”
Nucl. Eng. Des.
0029-5493,
149
, pp.
313
321
.
4.
Herranz
,
L. E.
,
Munoz-Cobo
,
J. L.
, and
Verdu
,
G.
, 1997, “
Heat Transfer Modeling in the Vertical Tubes of the Passive Containment Cooling System of the Simplified Boiling Water Reactor
,”
Nucl. Eng. Des.
0029-5493,
178
, pp.
29
44
.
5.
Vierow
,
K. M.
, 1990, “
Behavior of Steam-Air Systems in Cocurrent Vertical Downflow
,” M.S. thesis, University of California, Berkeley, CA.
6.
Siddique
,
M.
, 1992, “
The Effects of Noncondensable Gases on Steam Condensation Under Forced Convection Conditions
,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
7.
Brouwers
,
H. J.
, 1996, “
Effect of Fog Formation on Turbulent Vapor Condensation With Noncondensable Gases
,”
ASME J. Heat Transfer
0022-1481,
118
, pp.
243
245
.
8.
Ghiaasiaan
,
S. M.
, and
Eghbali
,
D. A.
, 1997, “
On Modeling of Turbulent Vapor Condensation With Noncondensable Gases
,”
ASME J. Heat Transfer
0022-1481,
119
, pp.
373
376
.
9.
Rohsenow
,
W. M.
, and
Choi
,
H. Y.
, 1961.
Heat, Mass and Momentum Transfer
,
Prentice–Hall
, Englewood Cliffs, NJ.
10.
Kays
,
M. K.
, and
Crawford
,
M. E.
, 1993,
Convective Heat and Mass Transfer
,
3rd ed.
,
McGraw–Hill
, New York.
11.
Sparrow
,
E. M.
, and
Lin
,
S. H.
, 1964, “
Condensation Heat Transfer in the Presence of Noncondensable Gas
,”
ASME J. Heat Transfer
0022-1481,
86
, pp.
430
436
.
12.
Minkowycz
,
W. J.
, and
Sparrow
,
E. M.
, 1974, “
Local Nonsimilar Solutions for Natural Convection on a Vertical Cylinder
,”
ASME J. Heat Transfer
0022-1481,
96
, pp.
178
183
.
13.
Ambrosini
,
W.
,
Forgione
,
N.
,
Manfredini
,
A.
, and
Oriolo
,
F.
, 2006, “
On Various Forms of the Heat and Mass Transfer Analogy: Discussion and Application to Condensation Experiments
,”
Nucl. Eng. Des.
0029-5493,
236
, pp.
1013
1027
.
14.
Peterson
,
P. F.
, 2000, “
Diffusion Layer Modeling for Condensation With Multicomponent Noncondensable Gases
,”
ASME J. Heat Transfer
0022-1481,
122
, pp.
716
720
.
15.
Mills
,
A. F.
, 1999,
Basic Heat and Mass Transfer
,
2nd ed.
,
Prentice–Hall
, Englewood Cliffs, NJ.
16.
Hirschfelder
,
J. O.
,
Curtiss
,
C. F.
, and
Bird
,
R. B.
, 1954,
Molecular Theory of Gases and Liquids
,
Wiley
, New York.
17.
Kuhn
,
S. Z.
, 1995, “
Investigation of Heat Transfer From Condensing Steam-Gas Mixtures and Turbulent Films Flowing Downward Inside a Vertical Tube
,” Ph.D. thesis, University of California, Berkeley, CA.
18.
Brouwers
,
H. J.
, 1992, “
A Film Model for Heat and Mass Transfer With Fog Formation
,”
Chem. Eng. Sci.
0009-2509,
47
, pp.
3023
3036
.
19.
Miyara
,
A.
, 2001, “
Flow Dynamics and Heat Transfer of Wavy Condensate Film
,”
ASME J. Heat Transfer
0022-1481,
123
, pp.
492
500
.
20.
Wang
,
C.
, and
Chen
,
C.
, 2002, “
Combined Free and Forced Convection Film Condensation on a Finite-Size Horizontal Wavy Plate
,”
ASME J. Heat Transfer
0022-1481,
124
, pp.
573
576
.
21.
Corradini
,
M. L.
, 1984, “
Turbulent Condensation on a Cold Wall in the Presence of a Noncondensable Gas
,”
Nucl. Technol.
0029-5450,
64
, pp.
186
195
.
22.
Brouwers
,
H. J.
, 1991, “
An Improved Tangency Condition for Fog Formation in Cooler-Condensers
,”
Int. J. Heat Mass Transfer
0017-9310,
34
, pp.
2387
2394
.
You do not currently have access to this content.