Volume No. :   9

Issue No. :  1

Year :  2017

ISSN Print :  0975-4393

ISSN Online :  2349-2988


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



Address:   Veena Sharma, Kavita, Sumit Gupta
Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5
Department of Mathematics, Govt. Degree College Diggal, Distt. Solan (H.P)
*Corresponding Author
DOI No: 10.5958/2349-2988.2017.00026.2

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.
KEYWORDS:
Hall Effect on Magneto-Thermal Stability of Rivlin-Ericksen Ferromagnetic Fluid Saturating A Porous Medium.
Cite:
Veena Sharma, Kavita, Sumit Gupta. Hall Effect on Magneto-Thermal Stability of Rivlin-Ericksen Ferromagnetic Fluid Saturating A Porous Medium. Research J. Science and Tech. 2017; 9(1):160-166.
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