Rayleigh-Taylor instability of two stratified Rivlin-Ericksen superposed fluids permeated with suspended particles in porous medium

The stability of two stratified Rivlin-Ericksen elastico-viscous superposed fluid permitted with suspended particles (fine dust) in porous medium has been considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. For case of exponential varying stratifications, it has been found that the system is stable for stable stratifications and unstable for unstable stratifications under certain conditions which are in contrast to the Newtonian fluid where the system is always stable for stable stratifications.