Anisotropy and symmetry in porous medium convection
type: Item
instance of: scholarly article
title: Anisotropy and symmetry in porous medium convection
zbMATH Open document ID: 1184.76663
author: M. Gentile
author: F. Capone
author: Antony A. Hill
published in: Acta Mechanica
publication date: 2009-12-16T00:00:00Z
review text: The authors study the linear and nonlinear stability of resting fluid (conduction solution) and of a vertical throughflow in an anisotropic porous medium between two horizontal impermeable heat-conducting walls. The model uses Darcy-Boussinesq equations with boundary conditions, which the authors recast into dimensionless form and then obtain perturbation equations. The linear stability of these equations is then performed, and sufficient conditions for which convective motions arise are determined. The nonlinear stability allows to determine conditions ensuring that the convective motions cannot arise in the layer. Further, the authors give a weighted nonlinear stability analysis of the steady-state problem, indicating the global nonlinear stability. The obtained numerical results are presented in 6 figures.
reviewed by: Ioan Pop
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5648837
zbMATH Keywords: nonlinear stability
zbMATH Keywords: Darcy-Boussinesq equations
zbMATH Keywords: linear stability
MaRDI profile type: Publication
full work available at URL: s00707-008-0135-2
OpenAlex ID: W2000783235
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DOI: 10.1007/S00707-008-0135-2
description: scientific article; zbMATH DE number 5648837