Radiation effect on convective heat transfer in an electrically conducting fluid at a stretching surface with variable viscosity and uniform free stream

The problem of free convection heat transfer characteristics in an electrically conducting fluid is investigated near an isothermal sheet. This has been done under the combined effect of buoyancy and radiation in the presence of uniform transverse magnetic field The sheet is linearly stretched in the presence of a uniform free stream of constant velocity and temperature. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The effects of free convection and internal heat generation or absorption are also considered. Fundamental equations are derived on the assumption of small magnetic Reynolds number. The resulting coupled nonlinear differential equations are solved numerically and the velocity and temperature profiles as well as the local Nusselt number and skin-friction coefficient are computed for various values of magnetic field, radiation, heat source and variable viscosity.