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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.v5.i2.60
11 pages

Effect of Variable Gravity Field on Thermal Instability in a Porous Medium with Inclined Temperature Gradient and Vertical Throughflow

Sherin M. Alex
Department of Mathematics, Anna University, Chennai (Madras), India
Prabhamani R. Patil
Department of Mathematics, Anna University, Chennai (Madras), India

ABSTRACT

The onset of convection in a horizontal fluid saturated isotropic porous layer with inclined temperature gradient and vertical throughflow, subject to a gravity field varying linearly with distance in the layer, is investigated. The resulting eigenvalue problem is solved using the Galerkin technique. It is seen that when the variable gravity parameter is positive, an increase in the vertical throughflow in the direction of the gravity vector always stabilizes the system. Further, an increase in the throughflow in the direction opposing gravity delays the onset of convection when the variable gravity parameter is negative.


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