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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.v5.i2.70
10 pages

On a Couple-Stress Fluid Heated from Below in a Porous Medium in the Presence of a Magnetic Field and Rotation

Sunil
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) 177005, India
R. C. Sharma
Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla 171 005, India
Mohinder Pal
Department of Mathematics, Government Degree College, Nadaun, (H.P.) 177 033, India

RÉSUMÉ

A layer of couple-stress fluid heated from below in a porous medium is considered in the presence of a uniform vertical magnetic field and uniform vertical rotation. For the case of stationary convection, the rotation postpones the onset of convection. The magnetic field and couple-stress may hasten the onset of convection in the presence of rotation while In the absence of rotation, they always postpone the onset of convection. The medium permeability hastens the onset of convection in the absence of rotation while in presence of rotation, it may postpone the onset of convection. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The rotation and magnetic field are found to introduce oscillatory modes In the system which were nonexistent in their absence. A sufficient condition for the nonexistence of ovestabllity is also obtained.


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