The effect of rotation on the growth rate of magnetic Rayleigh-Taylor instability in stratified plasma with power law density profile

In this research, the effect of simultaneous application of plasma rotation and static external magnetic field in a plasma with power law density function on the growth rate of Rayleigh-Taylor instability has been studied analytically. The plasma is assumed to be an incompressible and is enclosed between two planes z=0 and z=h. In a linear growth rate regime, the dispersion relation for the ideal MHD equations was first derived by applying the rotation effect and appropriate boundary conditions. The final dispersion relation represents the effect of the simultaneous combination of the axial magnetic field and the constant angular velocity of the plasma on the growth rate of Rayleigh-Taylor instability. The results show that the growth rate of the instability depends on the horizontal component of the magnetic field, the plasma rotation and also the dimensionless parameter λ*. The maximum instability occurs at the value of λ*=-1.5. Compared to the corresponding non-rotational case, recent results show that the simultaneous combination of rotation and static external magnetic field improves the management of the instability growth rate.