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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i7.30
pages 613-622

EFFECTS OF VARIABLE VISCOSITY AND DENSITY MAXIMUM ON THE ONSET OF DARCY-BENARD CONVECTION USING A THERMAL NONEQUILIBRIUM MODEL

I. S. Shivakumara
Department of Mathematics, Bangalore University, Bangalore-560 056, India
A. L. Mamatha
Department of Mathematics, UGC-Center for Advanced Studies in Fluid Mechanics, BangaloreUniversity, Bangalore 560001, India
M. Ravisha
East Point College of Engineering and Technology, Department of Mathematics, Bangalore-560 049, India

要約

The effects of the temperature-dependent viscosity and density maximum on the criterion for the onset of convection in a horizontal porous layer are investigated when the solid and fluid phases are not in local thermal equilibrium. A two-field model that represents the fluid- and solid-phase temperature fields separately is used for the energy equation. The Galerkin method is used to obtain the eigenvalue equation, which is then solved numerically. It is noted that higher values of the viscosity number and the parameter representing the maximum-density property have the effect of delaying the onset of convection and reducing the size of convection cells. In addition, the influence of parameters representing the thermal nonequilibrium effects on convective instability is discussed in detail.


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