Abstract

This paper investigates an MHD thermal boundary layer flow over a vertical plate with magnetic field intensity, electrical conductivity and convective surface boundary conditions. The governing nonlinear partial differential equations is transformed into a set of coupled non-linear ordinary differential equations by using the usual similarity transformation and the resulting coupled nonlinear ordinary differential equations are solved numerically by using Runge-Kutta fourth order method with shooting technique. The results show that the fluid temperature increases with increase in magnetic field intensity and biot numbers but decreases with increase in Prandtl number. Fluid velocity increases with increase in magnetic fluid intensity and decreases with increase in Grashof or biot number. An increase in Prandtl number slows down the rate of thermal diffusion within the boundary layer. The skin friction and the rate of heat transfer at the surface increases with increase in local Grashof number, electrical conductivity parameter and convective surface heat transfer parameter.