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Non-Newtonian boundary layer flow and heat transfer characteristics over a   stretching surface with thermal radiation and slip condition at the surface   is analyzed. The flow is subject to a uniform transverse magnetic field. The   suitable local similarity transformations are used to transform the   non-linear partial differential equations into system of ordinary   differential equations. The non-linear ordinary differential equations are   linearized by using Quasi-linearization technique. The implicit finite   difference scheme has been adopted to solve the obtained coupled ordinary   differential equations. The important finding in this communication is the   combined effects of Magnetic field parameter M, power law index n, slip   parameter l, radiation parameter R, surface temperature parameter g , heat   source/sink parameter S, local Eckert number Ec, temperature difference   parameter r, generalized local Prandtl number Pr on velocity and temperature   profiles and also the skin-friction coefficient -f''(0)and heat transfer   coefficient -θ'(0) results are discussed. The results pertaining to the   present study indicate that as the increase of magnetic field parameter, slip   parameter decreases the velocity profiles, where as the temperature profiles   increases for both Newtonian and non-Newtonian fluids. The power law index n   and heat source/sink parameter decreases the dimensionless velocity and   temperature profiles. The effect of radiation parameter, Eckert number leads   to increase the dimensionless temperature. It is found that increasing the   slip parameter has the effect of decreasing the skin-friction   coefficient-f''(0)and heat transfer coefficient-θ'(0).With the increase of   power law index n is to reduce the skin-friction coefficient and increase the   heat transfer coefficient

Effects of heat source/sink on magnetohydrodynamic flow and heat transfer of a non-Newtonian power-law fluid on a stretching surface