Table of Contents
Journal of Fluids
Volume 2013 (2013), Article ID 910531, 8 pages
http://dx.doi.org/10.1155/2013/910531
Research Article

Hall Effect on Bénard Convection of Compressible Viscoelastic Fluid through Porous Medium

1Department of Mathematics, Government Post Graduate College Seema (Rohru), Shimla District, Himachal Pradesh 171207, India
2Department of Mathematics, Centre of Excellence, Government Degree College Sanjauli, Shimla District, Himachal Pradesh 171006, India

Received 17 April 2013; Revised 26 July 2013; Accepted 30 July 2013

Academic Editor: Amy Shen

Copyright © 2013 Mahinder Singh and Chander Bhan Mehta. 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.

Abstract

An investigation made on the effect of Hall currents on thermal instability of a compressible Walter’s B′ elasticoviscous fluid through porous medium is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. For the case of stationary convection, Hall currents and compressibility have postponed the onset of convection through porous medium. Moreover, medium permeability hasten postpone the onset of convection, and magnetic field has duel character on the onset of convection. The critical Rayleigh numbers and the wave numbers of the associated disturbances for the onset of instability as stationary convection have been obtained and the behavior of various parameters on critical thermal Rayleigh numbers has been depicted graphically. The magnetic field, Hall currents found to introduce oscillatory modes, in the absence of these effects the principle of exchange of stabilities is valid.