Non-Darcian effects on double-diffusive convection in a sparsely packed porous medium
type: Item
instance of: scholarly article
title: Non-Darcian effects on double-diffusive convection in a sparsely packed porous medium
zbMATH Open document ID: 0944.76017
DOI: 10.1007/BF01186963
author: I. S. Shivakumara
author: R. Sumithra
published in: Acta Mechanica
publication date: 2000-09-20T00:00:00Z
review text: The authors study the stability of double-diffusive convection (solute concentration and temperature) governed by Brinkman and Boussinesq approximations in a sparsely packed porous horizontal layer. They show when Hopf bifurcation is possible, and which are the conditions for the transition from oscillatory to direct instability. Representative streamlines, isotherms and isohalines are presented; various properties are discussed.
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 1287772
zbMATH Keywords: oscillatory instability
zbMATH Keywords: Brinkman model
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: finite-amplitude modes
zbMATH Keywords: double-diffusive convection
zbMATH Keywords: sparsely packed porous horizontal layer
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: direct instability
zbMATH Keywords: streamlines
zbMATH Keywords: isotherms
zbMATH Keywords: isohalines
reviewed by: Dan Polisevski
MaRDI profile type: Publication
cites work: Double-diffusive convection
cites work: Finite amplitude convection in a two-component fluid saturated porous layer
cites work: Convection in a porous medium with inclined temperature gradient
cites work: Oscillations in double-diffusive convection
cites work: Effect of a stabilizing gradient of solute on thermal convection
cites work: Bifurcation in Doubly-Diffusive Systems I. Equilibrium Solutions
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description: scientific article; zbMATH DE number 1287772