The present investigation is to focus on the quantum effects on the Rayleigh Taylor instability
in an infinitely electrically conducting inhomogeneous stratified incompressible, viscoelastic
fluid/plasma through a porous medium in the presence of a vertical magnetic field. After developing
a mathematical formulation, the linear magneto hydrodynamic equations are solved by normal mode analysis
to obtain the velocity perturbation. The linear growth rate is derived for the case when the plasma with
exponential density, viscosity, viscoelasticity, quantum parameter distribution is confined between two
rigid planes at z = 0, z = d. The behaviour of growth rates with respect to the kinematic
viscoelasticity and the simultaneous presence of quantum effect and magnetic field are obtained in the presence
of porous medium, the medium permeability and kinematic viscosity. It is observed that the vertical
magnetic field beside the quantum effect yield more stability on the considered system.
Keywords: Rayleigh-Taylor instability; viscoelastic; quantum plasma; Rivlin-Ericksen (model) fluid; porous medium; magnetic field.
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