The effect of rotation on the R-T instability of two superposed magnetized conducting plasma with dusty suspended particles

In the present study we have incorporated FLR corrections to magnetohydrodynamic equations and discussed the Rayleigh-Taylor (R-T) instability of two superposed fluids acted upon by uniform horizontal magnetic field. We have considered the behaviour of dust in the form of suspended particles. We solved the fluid equations by linearization and obtained dispersion relation using the necessary boundary conditions. In this problem, magnetic field is in the horizontal direction and dispersion relation shows no contribution of magnetic field on condition of R-T instability. It is found that rotation, FLR and suspended particles do not affect the condition of instability. These parameters do have the damping effect there by reducing the growth rate of instability and thus they tend to stabilize the system. The general condition of R-T instability for two superposed fluids is also derived. (author)