Penetrative convection via internal heating in anisotropic porous media

Capone, F.; Gentile, M.; Hill, Antony A.

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. © 2010 Elsevier Ltd. All rights reserved.

• Journal Article Type: Article
• Publication Date: Jul 1, 2010
• Deposit Date: Oct 24, 2012
• Journal: Mechanics Research Communications
• Print ISSN: 0093-6413
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 37
• Issue: 5
• Pages: 441-444
• DOI: https://doi.org/10.1016/j.mechrescom.2010.06.005
• Keywords: penetrative convection, energy method, internal heat source/sink, anisotropic porous media
• Public URL: https://uwe-repository.worktribe.com/output/983841
• Publisher URL: http://dx.doi.org/10.1016/j.mechrescom.2010.06.005
• Contract Date: Nov 15, 2016