The Rayleigh Taylor instability of viscous fluids: Effect of finite Larmor radius and rotation

In the present paper the Rayleigh Taylor instability of two superposed conducting incompressible viscous fluids including the effect of finite Larmor radius and rotation has been investigated. The relevant MHD equations are solved by using normal mode method and a general dispersion relation is derived with the help of appropriate boundary conditions for the considered medium. The general dispersion relation of the medium is discussed for the stable and unstable configuration of Rayleigh Taylor instability. The growth rate of Rayleigh Taylor instability is analysed in the presence of finite Larmor radius and rotation and their influence are studied on the Rayleigh Taylor instability.