Numerical solution of the stability of hydromagnetic couette flow with hall currents

Abstract

In the present problem, we have studied numerically the effects of Hall currents and the magnetic Prandtl number P m on the stability of hydromagnetie Couette flow. In obtaining a numerical solution of the problem by Runge-Kutta-Merson method (here after will be called as RKM method), we have used the approximate solution found by modified Galerkin method as the starting solution. The accuracy of the method is tested by comparing the numerical solution with the exact solution of Chandrasekhar [1]. It is found that even though Hall currents are destabilizing for small and large P m , they tend to stabilize for certain intermediate values.