Global stability for thermal convection in a fluid overlying a highly porous material

Hill, A. A. and Straughan, B. (2009) Global stability for thermal convection in a fluid overlying a highly porous material. Proccedings of the Royal Society A, 465 (2101). pp. 207-217. ISSN 1364-5021

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Publisher's URL: http://dx.doi.org/10.1098/rspa.2008.0303

Abstract

This paper investigates the instability thresholds and global nonlinear stability bounds for thermal convection in a fluid overlying a highly porous material. A two-layer approach is adopted, where the Darcy–Brinkman equation is employed to describe the fluid flow in the porous medium. An excellent agreement is found between the linear instability and unconditional nonlinear stability thresholds, demonstrating that the linear theory accurately emulates the physics of the onset of convection.

Item Type:Article
Uncontrolled Keywords:superposed porous-fluid convection, energy method, Darcy–Brinkman
Faculty/Department:Faculty of Health and Applied Sciences > Department of Biological, Biomedical and Analytical Sciences
ID Code:17527
Deposited By: Dr A. Hill
Deposited On:24 Oct 2012 15:25
Last Modified:09 Sep 2014 22:16

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