Effect of Suspended Particles on the Stability of Stratified Viscoelastic Rivlin-Ericksen Fluid Saturating a Porous Medium

In this paper, the stability of stratified elastic-viscous Rivlin-Ericksen fluid in the presence of suspended particles and uniform horizontal magnetic field in porous medium is considered. In contrast to the Newtonian fluids, the system is found to be unstable at stable stratification for low values of permeability o0r high values of kinematic viscoelasticity. The uniform horizontal magnetic field stabilizes the system for certain wave number range. It has been found that the growth rate increases with the increase in kinematic viscosity and permeability, whereas it decreases with the increase in kinematic viscoelasticity.