Hydrodynamic and Hydromagnetic Stability of Stratified Elastico-Viscous Walters’ (model B') Fluid in the Presence of Suspended Particles in Porous Medium

In this paper, the stability of stratified elastico-viscous Walters’ (model B’) elastico-viscous fluid in the presence of suspended particles and uniform horizontal magnetic field in porous medium is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved numerically. The system is found to be unstable for stable stratifications and unstable for unstable stratifications, which is in contrast to the Newtonian fluid where the system is always stable for stable stratifications. The uniform horizontal magnetic field stabilizes the system for certain wave number range. It has been found that the growth rates decrease with the increase in kinematic viscosity, kinematic viscoelasticity, suspended particles number density and magnetic field.