In this paper, we study the steady laminar flow in a fluid-saturated porous medium channel bounded by two parallel plates with constant but unequal temperatures. One plate is moving with constant velocity while the other is stationary. For the porous medium, the Brinkman–Darcy–Forchheimer model is used. The investigation concerns engine oil, water, and air, taking into account the variation of their physical properties with temperature. The results are obtained with the direct numerical solution of the governing equations and cover large temperature differences. It is found that dynamic viscosity plays an important role on the results, which depart significantly from those of a fluid with constant properties when the temperature difference between the plates is large. Except that there are cases where the flow is restricted near the moving plate while at the lower part of the channel, the fluid is motionless.

1.
Kaviany
,
M.
, 1985, “
Laminar Flow Through a Porous Channel Bounded by Isothermal Parallel Plates
,”
Int. J. Heat Mass Transfer
0017-9310,
28
, pp.
851
858
.
2.
Nield
,
D. A.
,
Junqueira
,
S. L. M.
, and
Lage
,
J. L.
, 1996, “
Forced Convection in a Fluid-Saturated Porous-Medium Channel With Isothermal or Isoflux Boundaries
,”
J. Fluid Mech.
0022-1120,
322
, pp.
201
214
.
3.
Poulikakos
,
D.
, and
Renken
,
K.
, 1987, “
Forced Convection in a Channel Filled With Porous Medium, Including the Effects of Flow Inertia, Variable Porosity, and Brinkman Friction
,”
ASME J. Heat Transfer
0022-1481,
109
, pp.
880
888
.
4.
Renken
,
K.
, and
Poulikakos
,
D.
, 1988, “
Experiment and Analysis of Forced Convective Heat Transport in a Packed Bed of Spheres
,”
Int. J. Heat Mass Transfer
0017-9310,
31
, pp.
1399
1408
.
5.
Cheng
,
P.
,
Hsu
,
C. T.
, and
Chowdhury
,
A.
, 1988, “
Forced Convection in the Entrance Region of a Packed Channel With Asymmetrical Heating
,”
ASME J. Heat Transfer
0022-1481,
110
, pp.
946
954
.
6.
Nakayama
,
A.
,
Koyama
,
H.
, and
Kuwahara
,
F.
, 1988, “
An Analysis on Forced Convection in a Channel Filled With a Brinkman-Darcy Porous Medium: Exact and Approximate Solutions
,”
Waerme- Stoffuebertrag.
0042-9929,
23
, pp.
291
295
.
7.
Vafai
,
K.
, and
Kim
,
S. J.
, 1989, “
Forced Convection in a Channel Filled With a Porous Medium: An Exact Solution
,”
ASME J. Heat Transfer
0022-1481,
111
, pp.
1103
1106
.
8.
Nield
,
D. A.
,
Porneala
,
D. C.
, and
Lage
,
J. L.
, 1999, “
A Theoretical Study, With Experimental Verification, of the Temperature-Dependent Viscosity Effect on the Forced Convection Through a Porous Medium Channel
,”
ASME J. Heat Transfer
0022-1481,
121
, pp.
500
503
.
9.
Narasimhan
,
A.
, and
Lage
,
J. L.
, 2001, “
Forced Convection of a Fluid With Temperature-Dependent Viscosity Flowing Through a Porous Medium Channel
,”
Numer. Heat Transfer, Part A
1040-7782,
40
, pp.
801
820
.
10.
Narasimhan
,
A.
, and
Lage
,
J. L.
, 2001, “
Modified Hazen-Dupuit-Darcy Model for Forced Convection of a Fluid With Temperature-Dependent Viscosity
,”
ASME J. Heat Transfer
0022-1481,
123
, pp.
31
38
.
11.
Narasimhan
,
A.
,
Lage
,
J. L.
, and
Nield
,
D. A.
, 2001, “
New Theory for Forced Convection Through Porous Media by Fluids With Temperature-Dependent Viscosity
,”
ASME J. Heat Transfer
0022-1481,
123
, pp.
1045
1051
.
12.
Narasimhan
,
A.
,
Lage
,
J. L.
,
Nield
,
D. A.
, and
Porneala
,
D. C.
, 2001, “
Experimental Verification of Two New Theories Predicting Temperature-Dependent Viscosity Effects on the Forced Convection in a Porous Channel
,”
ASME J. Fluids Eng.
0098-2202,
123
, pp.
948
951
.
13.
Narasimhan
,
A.
, and
Lage
,
J. L.
, 2003, “
Temperature-Dependent Viscosity Effects on the Thermohydraulics of Heated Porous-Medium Channel Flows
,”
J. Porous Media
1091-028X,
6
, pp.
149
158
.
14.
Haji-Sheikh
,
A.
, 2004, “
Estimation of Average and Local Heat Transfer in Parallel Plates and Circular Ducts Filled With Porous Material
,”
ASME J. Heat Transfer
0022-1481,
126
, pp.
400
409
.
15.
Nield
,
D. A.
,
Kuznetsov
,
A. V.
, and
Xiong
,
M.
, 2004, “
Effects of Viscous Dissipation and Flow Work on Forced Convection in a Channel Filled by a Saturated Porous Medium
,”
Transp. Porous Media
0169-3913,
56
, pp.
351
367
.
16.
Nakayama
,
A.
, 1992, “
Non-Darcy Couette Flow in a Porous Medium Filled With an Inelastic Non-Newtonian Fluid
,”
ASME J. Fluids Eng.
0098-2202,
114
, pp.
642
647
.
17.
Kuznetsov
,
A. V.
, 1998, “
Analytical Investigation of Heat Transfer in Couette Flow Through a Porous Medium Utilizing the Brinkman-Forchheimer-Extended Darcy Model
,”
Acta Mech.
0001-5970,
129
, pp.
13
24
.
18.
Nield
,
D. A.
, and
Bejan
,
A.
, 1999,
Convection in Porous Media
,
2nd ed.
,
Springer-Verlag
, Berlin.
19.
Patankar
,
S. V.
, 1980,
Numerical Heat Transfer and Fluid Flow
,
McGraw-Hill
, New York.
20.
Zografos
,
A. I.
,
Martin
,
W. A.
, and
Sunderland
,
J. E.
, 1987, “
Equations of Properties as a Function of Temperature for Seven Fluids
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
61
, pp.
177
187
.
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