Rayleigh-Taylor instability of a stratified magnetized quantum Plasma in a porous and incompressible medium

Rayleigh-Taylor instability of stratified magnetized quantum plasma in a porous medium has been investigated. Medium is assumed to be highly conducting and incompressible. The relevant quantum magnetohydrodynamic equations are solved by using appropriate boundary conditions and a dispersion relation is obtained. The dispersion relation is derived for the case, where plasma is bounded by two rigid planes. The growth rate of unstable Rayleigh-Taylor mode and stability conditions of the medium are evaluated analytically with the parameters quantum effect, magnetic field, porosity and permeability in the stratified fluids. It is found that the magnetic field and quantum effect have more stabilizing influence on Rayleigh-Taylor instability in presence of porous media. We have also found that the porosity has stabilizing influence, while permeability has destabilizing influence on Rayleigh-Taylor instability in presence of quantum effect.