Impact of Boundary Roughness and MHD on Saturation of Rayleigh-Taylor Instability at the Interface between Two Superposed Couple-Stress Fluids

This study is about the influence at the boundary between two Couple-stress Casson fluids which are superposed on Rayleigh- Taylor instability (RTI) flowing in the existence of a uniform magnetic field acting normal to the surface in porous medium. The density of both the fluids is not the same. Established on fully developed approximations the stability analysis is applied, to achieve mathematical ease. The maximum wave numbers as well as resulting maximum frequency are found. In this analysis we discussed, the evolution of Rayleigh-Taylor unsteadiness due to non-Newtonian couple-stress Casson fluids over porous media. Graphical representations of stability that are discussed numerically based on the consequences of physical parameters for instance permeability parameter, non-Newtonian parameter, magnetic parameter, and couple-stress parameter.