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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i2.90
pages 225-235

Mixed-Convection Flow Adjacent to a Horizontal Surface in a Porous Medium with Variable Permeability and Surface Heat Flux

I. A. Hassanien
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Gh. M. Omer
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

要約

A nonsimilarity solution for mixed convection from impermeable horizontal surfaces in a saturated porous medium incorporating variation of permeability and thermal conductivity due to packing of particles is obtained for the case of variable heat flux in the form qw(x) = bxn. To cover the entire mixed-convection regime, two different transformations are used. In the first transformation the nonsimilarity parameter ζf= Rax⁄Pex2 is found to measure the buoyancy effect in the forced-flow-dominated mixed-convection regime, and in the second transformation the nonsimilarity parameter ζn = Rax⁄Pex1⁄2 is found to measure the forced-flow effect in the buoyancy-dominated mixed-convection regime. The two solutions provide results that cover the entire mixed-convection regime from pure forced- to pure free-convection limit. Numerical results for different values of surface heat flux variation, permeability K, and thermal diffusivity α are presented.


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