Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field

In this paper, the effect of an induced magnetic field on unsteady hydromagnetic free convective flow of an electrically conducting fluid past a semi-infinite vertical plate is considered. The coupled non-linear partial differential equations in non-dimensional form have been solved by implicit finite difference method of Crank–Nicolson type. The influence of magnetic parameter and magnetic Prandtl number on the velocity, temperature and induced magnetic field at a fixed cross-section, as well as on the skin-friction and Nusselt number on the heated surface, have been shown graphically. It is found that the effect of magnetic parameter is to decrease the velocity, temperature and induced magnetic fields while the effect of magnetic Prandtl number is to increase them.