Penetrative convection via internal heating in anisotropic porous media

Capone, F., Gentile, M. and Hill, A. A. (2010) Penetrative convection via internal heating in anisotropic porous media. Mechanics Research Communications, 37 (5). pp. 441-444. ISSN 0093-6413

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Publisher's URL: http://dx.doi.org/10.1016/j.mechrescom.2010.06.005

Abstract

Penetrative convection in an anisotropic porous medium is simulated via internal heating. We consider both internal heat sources and sinks, where the porous medium has constant anisotropic thermal diffusivity and non-homogeneous permeability. Both linear instability and global nonlinear energy stability analyses are performed. By adopting a differential constraint approach, the nonlinear stability boundaries are shown to be sharp when compared with the linear instability thresholds. In contrast, it is shown that adopting a standard energy analysis does not yield sharp results.

Item Type:Article
Uncontrolled Keywords:penetrative convection, energy method, internal heat source/sink, anisotropic porous media
Faculty/Department:Faculty of Health and Applied Sciences > Department of Biological, Biomedical and Analytical Sciences
ID Code:17537
Deposited By: Dr A. Hill
Deposited On:24 Oct 2012 14:45
Last Modified:18 Jan 2014 07:18

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