Magnetohydrodynamic natural convective flow past a vertical cone with variable surface temperature in presence of heat generation

Abstract

Natural convective flow past a vertical cone maintained at non-uniform surface temperature in presence of heat generation and magnetic field is considered. The governing boundary layer equations are first transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are then solved numerically using the finite difference method. The results of the surface shear stress in terms of local skin friction and rate of heat transfer in terms of local Nusselt number, velocity distribution as well as temperature distribution are shown graphically for a selection of parameter sets consisting of the surface temperature gradient n, Prandtl numbers Pr, the heat generation parameter Q and the magnetic parameter M.