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Authors
Affiliations
1 Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur-177 005, IN
2 Department of Mathematics, Himachal Pradesh University, Shimla-171005, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 173-182
Abstract
In this paper, we investigate the stability of stratified Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles (fine dust) and uniform horizontal magnetic field in porous medium. By applying normal mode analysis method, the dispersion relation is derived and solved numerically. The system is found to be stable for stable stratifications and unstable for unstable stratifications as in the case of Newtonian fluid. The uniform horizontal magnetic field stabilizes the system for certain wave number range. The growth rates decrease with the increase of kinematic viscosity, kinematic viscoelasticity, suspended particle number density and magnetic field.
Keywords
Rivlin-Ericksen Elastico-Viscous Fluid, Magnetic Field, SusPended Particles, Porous Medium.
