International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1982 / Article

Open Access

Volume 5 |Article ID 508531 | https://doi.org/10.1155/S0161171282000350

R. C. Sharma, K. P. Thakur, "Instability through porous medium of two viscous superposed conducting fluids", International Journal of Mathematics and Mathematical Sciences, vol. 5, Article ID 508531, 11 pages, 1982. https://doi.org/10.1155/S0161171282000350

Instability through porous medium of two viscous superposed conducting fluids

Received11 Jul 1979
Revised10 Dec 1980

Abstract

The stability of the plane interface separating two viscous superposed conducting fluids through porous medium is studied when the whole system is immersed in a uniform horizontal magnetic field. The stability analysis is carried out for two highly viscous fluids of equal kinematic viscosities, for mathematical simplicity. It is found that the stability criterion is independent of the effects of viscosity and porosity of the medium and is dependent on the orientation and magnitude of the magnetic field. The magnetic field is found to stabilize a certain wave number range of the unstable configuration. The behaviour of growth rates with respect to viscosity, porosity and medium permeability are examined analytically.

Copyright © 1982 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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