Exact analytical solutions for fully-developed, steady-state laminar mixed convection with heat and mass transfer between vertical parallel plates are presented. The thermal boundary conditions are UWT or UHF while the concentration at each wall is assumed to be uniform but not necessarily the same. The solution for the UWT case depends on a single parameter which combines the effects of thermal and solutal buoyancy. In the UHF case it depends on three independent parameters, the ratio of the thermal Grashof number to the Reynolds number, the ratio of the solutal Grashof number to the Reynolds number, and the wall heat flux ratio.

Issue Section:
Natural and Mixed Convection
Keywords:
Analytical, Heat Transfer, Laminar, Mass Transfer, Mixed Convection, convection, laminar flow, mass transfer, confined flow, numerical analysis
Topics:
Boundary-value problems, Buoyancy, Flow (Dynamics), Heat, Heat flux, Mass transfer, Mixed convection, Temperature, Flux (Metallurgy), Friction, Temperature profiles, Fluids
1.
Orfi
,
J.
, and
Galanis
,
N.
,
2002
, “
Developing Laminar Convection With Heat and Mass Transfer in Horizontal and Vertical Tubes
,”
Int. J. Therm. Sci.
,
41
(
4
), pp.
319
–
331
.
2.
Yan
,
W. M.
,
1995
, “
Transport Phenomena of Developing Laminar Mixed Convection Heat and Mass Transfer in Inclined Rectangular Ducts
,”
Int. J. Heat Mass Transfer
,
38
(
15
), pp.
2905
–
2914
.
3.
Ali Cherif
,
A.
, and
Dai¨f
,
A.
,
1999
, “
E´tude nume´rique du transfert de chaleur et de masse entre deux plaques planes verticales en pre´sence d’un film liquide binaire ruisselant sur l’une des plaques chauffe´e
,”
Int. J. Heat Mass Transfer
,
42
(
13
), pp.
2399
–
2418
.
4.
Aung
,
W.
, and
Worku
,
G.
,
1986
, “
Theory of Fully Developed, Combined Convection Including Flow Reversal
,”
ASME J. Heat Transfer
,
108
(
2
), pp.
485
–
488
.
5.
Hamadah
,
T. T.
, and
Wirtz
,
R. A.
,
1991
, “
Analysis of Laminar Fully Developed Mixed Convection in a Vertical Channel With Opposing Buoyancy
,”
ASME J. Heat Transfer
,
113
(
2
), pp.
507
–
510
.
6.
Barletta
,
A.
, and
Zanchini
,
E.
,
1999
, “
On the Choice of Reference Temperature for Fully Developed Mixed Convection in a Vertical Channel
,”
Int. J. Heat Mass Transfer
,
42
(
16
), pp.
3169
–
3181
.
7.
Gebhart
,
B.
, and
Pera
,
L.
,
1971
, “
The Nature of Vertical Natural Convection Flows Resulting From the Combined Buoyancy Effects of Thermal and Mass Diffusion
,”
Int. J. Heat Mass Transfer
,
14
(
12
), pp.
2025
–
2050
.
8.
Nelson
,
D. J.
, and
Wood
,
B. D.
,
1989
, “
Fully Developed Combined Heat and Mass Transfer Natural Convection Between Parallel Vertical Plates With Asymmetric Boundary Conditions
,”
Int. J. Heat Mass Transfer
,
32
(
9
), pp.
1789
–
1792
.
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 by ASME
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