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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i12.70
pages 1149-1153

EFFECT OF ROTATION ON THE ONSET OF CONVECTION IN WALTERS'S (MODEL B' ) FLUID HEATED FROM BELOW IN A DARCY-BRINKMAN POROUS MEDIUM

Gian C. Rana
Department of Mathematics, NSCBM Government College, Hamirpur-177005, Himachal Pradesh, India
S. K. Kango
Department of Mathematics, Govt. College, Haripur-177 103, District Kullu Himachal Pradesh, India
Sanjeev Kumar
Department of Mathematics, Govt. P. G. College, Mandi 175 001, Himachal Pradesh, India

RÉSUMÉ

In this article, the effect of rotation on the onset of convection in Walters's (Model B') elasticoviscous fluid heated from below in a porous medium is considered. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, rotation, gravity field, and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has a stabilizing effect, whereas Darcy number and medium permeability have a destabilizing/stabilizing effect on the system under certain conditions.


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