Effects of throughflow and internal heat generation on convective instabilities in an anisotropic porous layer

Khalili, A. and Shivakumara, I.S. and Huettel, M. (2002) Effects of throughflow and internal heat generation on convective instabilities in an anisotropic porous layer. Journal of Porous Media, 5 (3). pp. 187-198. ISSN 1934-0508

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Official URL: https://doi.org/10.1615/JPorMedia.v5.i3.20

Abstract

CConvective instabilities caused by a nonuniform temperature gradient due to vertical throughflow and internal heat generation were investigated in an anisotropic porous layer. The boundaries are taken to be either impermeable or porous and are perfect conductors of heat. The Forchheimer-extended Darcy model is used to describe the flow in the porous medium. The resulting eigenvalue problem is solved numerically by the Galerkin method with a modified external Rayleigh number as the eigenvalue. Both anisotropic parameters (i.e., effective thermal diffusivity, η, and permeability, ξ) appear through their ratio η/ξ only. We found that an increase in η/ξ increases the stability of the system. Furthermore, we observed that in the absence of internal heat generation, throughflow stabilizes when the boundaries are symmetric and destabilizes when they are asymmetric. However, if an internal heat source exists, throughflow destabilizes the system irrespective of the boundary types considered. A more precise control of the buoyancy-driven instability may be achieved by tuning the anisotropy parameters and internal heat source strength. Copyright © 2002 by Begell House, Inc.

Item Type: Article
Additional Information: cited By 14
Uncontrolled Keywords: Anisotropy; Buoyancy; Eigenvalues and eigenfunctions; Galerkin methods; Mathematical models; Thermal diffusion, Anisotropic porous layer; Convective instabilities; The Forchheimer-extended Darcy model, Porous materials
Subjects: Faculty of Science > Pure Sciences > Mathematics
Divisions: Jnana Bharathi / Central College Campus > Department of Mathematics
Depositing User: Mr. Kirana Kumar D
Date Deposited: 03 Mar 2016 06:24
Last Modified: 03 Mar 2016 06:24
URI: http://eprints-bangaloreuniversity.in/id/eprint/928

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