An analytic solution is obtained for the problem of fully developed forced convection in a channel between parallel plane walls, partly occupied by a bidisperse porous medium (BDPM) and partly by a fluid clear of solid material, the distribution of material being symmetrical with the BDPM forming either the core or the sheath portion of the channel. The case of uniform flux boundaries is considered. For the porous medium, a two-velocity two-temperature model based on Darcy’s law is employed and the Beavers–Joseph interface condition is imposed. In each case, Nusselt number values are obtained in terms of various parameters.

1.
Chen
,
Z. Q.
,
Cheng
,
P.
, and
Hsu
,
C. T.
, 2000, “
A Theoretical and Experimental Study on Stagnant Thermal Conductivity of Bi-Dispersed Porous Media
,”
Int. Commun. Heat Mass Transfer
0735-1933,
27
, pp.
601
610
.
2.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
, 2005, “
Convection in Bi-Disperse Porous Media
,”
Transport Phenomena in Porous Media III
,
D. B.
Ingham
and
I.
Pop
, eds.,
Elsevier
,
Oxford
, pp.
34
59
.
3.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
, 2005, “
A Two-Velocity Two-Temperature Model for a Bi-Dispersed Porous Medium: Forced Convection in a Channel
,”
Transp. Porous Media
0169-3913,
59
, pp.
325
339
.
4.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
, 2006, “
The Onset of Convection in a Bidisperse Porous Medium
,”
Int. J. Heat Mass Transfer
0017-9310,
49
, pp.
3068
3074
.
5.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
, 2008, “
Natural Convection About a Vertical Plate Embedded in a Bidisperse Porous Medium
,”
Int. J. Heat Mass Transfer
0017-9310,
51
, pp.
1658
1664
.
6.
Kuznetsov
,
A. V.
, and
Nield
,
D. A.
, 2006, “
Thermally Developing Forced Convection in a Bi-Disperse Porous Medium
,”
J. Porous Media
1091-028X,
9
, pp.
393
402
.
7.
Rees
,
D. A. S.
,
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
, 2008, “
Vertical Free Convective Boundary-Layer Flow in a Bidisperse Porous Medium
,”
ASME J. Heat Transfer
0022-1481,
130
, p.
092601
.
8.
Straughan
,
B.
, 2009, “
On the Nield-Kuznetsov Theory for Convection in Porous Media
,”
Transp. Porous Media
0169-3913,
77
, pp.
159
168
.
9.
Kumari
,
M.
, and
Pop
,
I.
, 2009, “
Mixed Convection Boundary Layer Flow Past a Horizontal Cylinder Embedded in a Bidisperse Porous Medium
,”
Transp. Porous Media
0169-3913,
77
, pp.
287
303
.
10.
Narasimhan
,
A.
, and
Reddy
,
B. V. K.
, 2010, “
Natural Convection Inside a Bidisperse Porous Medium Enclosure
,”
ASME J. Heat Transfer
0022-1481,
132
, p.
012502
.
11.
Kuznetsov
,
A. V.
, and
Nield
,
D. A.
, 2010, “
Forced Convection in a Channel Partly Occupied by a Bidisperse Porous Medium: Asymmetric Case
,”
Int. J. Heat Mass Transfer
0017-9310,
53
, pp.
5167
5175
.
12.
Kuznetsov
,
A. V.
, 2000, “
Analytical Studies of Forced Convection in Partly Porous Configurations
,”
Handbook of Porous Media
,
K.
Vafai
, ed.,
Dekker
,
New York
, pp.
269
312
.
13.
Nield
,
D. A.
, and
Bejan
,
A.
, 2006,
Convection in Porous Media
,
3rd ed.
,
Springer-Verlag
,
New York
.
14.
Poulikakos
,
D.
, and
Kazmierczak
,
M.
, 1987, “
Forced Convection in a Duct Partially Filled With a Porous Material
,”
ASME J. Heat Transfer
0022-1481,
109
, pp.
653
662
.
15.
Kuznetsov
,
A. V.
, 1999, “
Forced Convection in a Parallel-Plate Channel With a Porous Core
,”
Appl. Mech. Eng.
1425-1655,
4
, pp.
271
290
.
16.
Jang
,
J. Y.
, and
Chen
,
J. L.
, 1992, “
Forced Convection in a Parallel Plate Channel Partially Filled With a High Porosity Medium
,”
Int. Commun. Heat Mass Transfer
0735-1933,
19
, pp.
263
273
.
17.
Alkam
,
M. K.
,
Al-Nimr
,
M. A.
, and
Hamdan
,
M. O.
, 2002, “
On Forced Convection in Channels Partially Filled With Porous Substrates
,”
Heat Mass Transfer
0947-7411,
38
, pp.
337
342
.
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