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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 1
First page : ( 160) Last page : ( 166)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00026.2

Hall Effect on Magneto-Thermal Stability of Rivlin-Ericksen Ferromagnetic Fluid Saturating A Porous Medium

Sharma Veena1,*, Kavita1, Gupta Sumit1

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5

1Department of Mathematics, Govt. Degree College Diggal, Distt. Solan, (H.P.)

*Corresponding Autho or E-mail: veena_math_hpu@yahoo.com, kavi6991@gmail.com

Online published on 12 January, 2017.

Abstract

This paper deals with the electrically conducting and numerical investigation of the effect of Hall currents on the thermal stability of a ferromagnetic viscoelastic fluid heated from below saturating porous medium. The rheology of the fluid in described by the Rivlin-Ericksenian. The boundaries are considered to be stress-free. The eigen-value problem obtained using linear stability theory and normal mode technique is solved numerically using the Galerkin technique and the software MATHEMATICA by assuming the trial functions satisfying the boundary conditions. A dispersion relation governing the effects of medium permeability, a uniform horizontal magnetic field, magnetization and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field and magnetization have a stabilizing effect on the system, as such their effect is to postpone the onset of thermal instability, whereas the Hall currents are found to hasten the onset of convection under certain conditions.

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