Effect of Hall Current on Thermal Convection of Micro polar Fluid Layer in The Presence of Horizontal Magnetic Field Saturating a Porous Medium
Bhupander Singh
Bhupander Singh, Department of Mathematics, Meerut College, Meerut (U.P.) India.
Manuscript received on May 12, 2015. | Revised Manuscript received on May 19, 2015. | Manuscript published on May 25, 2015. | PP:15-24 | Volume-3 Issue-7, May 2015. | Retrieval Number: F0951043615
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper deals with the theoretical investigation of Hall current effect on micro polar fluid layer heated from below subjected to horizontal magnetic field in a porous medium. A dispersion relation is obtained for a flat fluid layer contained between two free boundaries using a linear stability analysis theory and normal mode analysis method. In case of stationary convection, the effect of various parameters like medium permeability, coupling parameter, micropolar coefficient, micro polar heat conduction parameter, magnetic field and Hall current parameter has been analyzed and results are depicted graphically. The sufficient conditions for non-existence of over stability are also obtained.
Keywords: Thermal convection, Micropolar fluid, Horizontal magnetic field, Hall current, Porous Medium