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.
Issue Section:
Porous Media
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
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.
