MHD boundary layer flow with forced convection past a nonlinearly stretching surface with variable temperature and nonlinear radiation effects

In the present study, the steady, laminar, nonlinear hydromagnetic forced convective flow of a viscous, incompressible, electrically conducting and radiating fluid over a nonlinearly stretching surface of variable temperature with nonlinear radiation effects in the presence of a variable transverse magnetic field has been investigated. Stretching of the surface is considered in a power-law distribution form. The boundary layer equations for nonlinear flow and heat transfer are reduced to ordinary nonlinear differential equations by employing similarity transformation. The numerical solutions are found by using Fourth-Order Runge-Kutta based shooting method along with the Nachtsheim-Swigert iteration scheme for satisfaction of asymptotic boundary conditions. Numerical results for velocity, temperature distribution, skin friction and rate of heat transfer on the stretching surface with nonlinear radiation effects are presented. Effect of magnetic interaction parameter and velocity exponent parameter over velocity and skin friction coefficient are analyzed. Influence of radiation parameter, local surface temperature parameter, Index of power-law variation of wall temperature and Prandtl number over temperature and dimensionless rate of heat transfer are analysed.