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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i8.10
pages 659-669

EFFECT OF NONUNIFORM TEMPERATURE GRADIENTS ON THERMOGRAVITATIONAL CONVECTION IN A POROUS LAYER USING A THERMAL NONEQUILIBRIUM MODEL

Jinho Lee
School of Mechanical Engineering, Yonsei University, Seoul 120-749, Korea
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

ABSTRACT

The effect of various forms of nonuniform basic temperature gradients on the onset of convection in a Newtonian fluid-saturated isotropic porous layer is investigated when the fluid and solid phases are not in local thermal equilibrium. A two-field model that represents the fluid and solid phase temperature fields separately is used for energy equation and the Forchheimer-extended Darcy model is used to describe the flow. The eigen value problem is solved numerically using the Galerkin technique. Comparisons are also made of the critical stability parameters between the present results and published ones for the linear basic temperature profile case, and the agreement is found to be good. The possibility of delaying or hastening the on set of convection by the basic state temperature gradients along with the influence of parameters representing the local thermal non-equilibrium effect is analyzed in detail. When compared with the nonuniform temperature gradients, it is found that the linear temperature profile indicates a reinforcement of stability. In addition, the role of thermal depth on the critical conditions is assessed in the case of piecewise linear temperature profiles.


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