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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i10.50
pages 985-995

Three-Dimensional Free Convection Flow in a Vertical Channel Filled with a Porous Medium

Mrinmoy Guria
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India
S. K. Ghosh
Department of Mathematics, Narajole Raj College, Narajole, District - Midnapore (West)-721211, West Bengal, India
Ioan Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

ABSTRACT

The aim of the present paper is to analyze the three-dimensional flow of a viscous incompressible fluid through a porous medium bounded by two vertical walls, one wall being impermeable and the other is permeable. Approximate solutions of the velocity and temperature fields have been obtained using a perturbation technique. It has been shown that the cross flow increases near the impermeable wall and decreases near the permeable wall with increase in Darcy number, but it decreases with an increase in the source parameter. The temperature profile increases with increase in the source parameter and the rate of heat transfer at the plates depends significantly on the source parameter when it becomes sufficiently high. It is also shown that the rate of heat transfer is a conjugate mode of analyzing the flow behavior in the presence of a heat source.


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