Stability of Stratified Rivlin-Ericksen Fluid Permeated with Suspended Particles and Uniform Horizontal Magnetic Field in Porous Medium

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.