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

被引：19

作者：

Shivakumara, I. S. ^{[1
]}

Mamatha, A. L. ^{[2
]}

Ravisha, M. ^{[3
]}

机构：

[1] Bangalore Univ, Dept Math, UGC Ctr Adv Studies Fluid Mech, Bangalore 560001, Karnataka, India

[2] JSS Acad Tech Educ, Dept Math, Bangalore 560060, Karnataka, India

[3] E Point Coll Engn & Technol, Dept Math, Bangalore 560049, Karnataka, India

来源：

JOURNAL OF POROUS MEDIA | 2010年 / 13卷 / 07期

关键词：

density maximum; porous medium; thermal none quilibrium model; variable viscosity; POROUS LAYER; NONLINEAR STABILITY; BRINKMAN CONVECTION; FLOW;

D O I：

10.1615/JPorMedia.v13.i7.30

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：613 / 622

页数：10

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