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Journal of Porous Media
Fator do impacto: 1.49 FI de cinco anos: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

Volumes:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i4.50
pages 337-345

NON-DARCIAN AND ANISOTROPIC EFFECTS ON THE CONJUGATE HEAT TRANSFER IN A POROUS ENCLOSURE WITH FINITE THICKNESS WALLS

Sameh Elsayed Ahmed
Department of Mathematics, Faculty of Science, Abha, King Khalid University, Saudi Arabia; Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Abdelraheem M. Aly
Department of Mathematics, Faculty of Science, Abha, King Khalid University, Saudi Arabia; Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

RESUMO

In this article, the conjugate natural convection in an anisotropic fluid-filled porous enclosure has been investigated using Brinkman extended non-Darcy flow model. The finite volume method is applied to solve the dimensionless partial differential equations governing the flow and heat transfer. The governing parameters considered are the ratio of the wall thickness to its height (0.05 ≤ D ≤ 0.2), the wall to porous thermal conductivity ratio (1 ≤ Kr ≤ 10), the permeability ratio (0.5 ≤ K* ≤ 5), the modified Darcy number (0.001 ≤ Da ≤ 0.1), and the Rayleigh number (100 ≤ Ra ≤ 1000). It is found that increasing either the Rayleigh number or the permeability ratio can increase the rates of heat transfer for both the wall and the porous medium. However, increasing the modified Darcy number decreases the average Nusselt numbers for the wall and the porous medium.


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