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Bulletin of the Polish Academy of Sciences Technical Sciences

The Journal of Polish Academy of Sciences

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Volume 62, Issue 2


The onset of thermal convection in couple-stress fluid in hydromagnetics saturating a porous medium

Gian C. Rana
  • Department of Mathematics, Sidharth Govt. Degree College, Nadaun-177 033, District Hamirpur, Himachal Pradesh, India
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Published Online: 2014-06-13 | DOI: https://doi.org/10.2478/bpasts-2014-0035


In this paper, the effect of magnetic field on thermal convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and the normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pι the couple-stress parameter F and the Chandrasekher number Q, satisfy the inequality

the result clearly establishes the stabilizing character of couple-stress parameter and magnetic field whereas destabilizing character of medium permeability.

Keywords: couple-stress fluid; magnetic field; porous medium; thermal convection


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  • [10] V. Sharma and G.C. Rana, “Thermal instability of a Walters’ (model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium”, J. Non-Equilib. Thermodyn. 26, 31-40 (2001).Google Scholar

  • [11] G.C. Rana, V. Sharma, and S. Kumar, “Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluids in the presence of Uniform horizontal magnetic field in porous medium”, J. Appl. Math. and Fluid Mech. 2, 41-47 (2011).Google Scholar

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About the article

Published Online: 2014-06-13

Published in Print: 2014-06-01

Citation Information: Bulletin of the Polish Academy of Sciences Technical Sciences, Volume 62, Issue 2, Pages 357–362, ISSN (Online) 2300-1917, DOI: https://doi.org/10.2478/bpasts-2014-0035.

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© Bulletin of the Polish Academy of Sciences. Technical Sciences. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 3.0

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