Finite difference method of solution of unsteady magnetic hydrodynamic boundary layer equations in a natural convection

The paper presents an investigation of the effect of a transverse magnetic field on an unsteady natural convection along a heated vertical plate. Finite difference method is employed to solve the nonlinear equations governing the motion. The difference scheme satisfies consistency and stability conditions. The stability condition depends on time step which has to be satisfied in every time step. Proper care has been taken for the nonlinear terms. The solutions have been deduced for different values of the magnetic field intensity. The results are satisfactory. In the long run our results coincide with the steady state solutions already existing in the literature.