Similarity Solution on MHD Boundary Layer over Stretching Surface Considering Heat Flux

This article investigates the influence of variable heat flux on the problem of steady two dimensional MHD flow and heat transfer of an electrically conducting fluid along a semi-infinite vertical plate taking into account the effect of viscous dissipation. The governing equations are converted into a system of nonlinear ordinary differential equations via a similarity variable. The resulting system of equations is then solved numerically by using Natchsheim Swigert shooting iteration technique together with sixth order Runge-Kutta integration scheme. Boundary layer velocity and temperature profiles are determined numerically for various values of the ratio of free stream velocity and stretching velocity, the magnetic field parameter, suction/blowing parameter, Brinkman number. Regardless of the flow conditions, the flow velocity and temperature is found significantly affected by the flow parameters.