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This paper presents an investigation on the MHD thin film flow and heat   transfer of a power law fluid over an unsteady stretching sheet. The effects   of power law viscosity on a temperature field are taken into account with a   modified Fourier’s law Proposed by Zheng by assuming that the temperature   field is similar to the velocity field. The governing equations are reduced   to a system of nonlinear ordinary differential equations. The numerical   solutions are obtained by using the shooting method coupled with the   Runge-Kutta method. The influence of the Hartmann number, the power law   exponent, the unsteadiness parameter, the thickness parameter and the   generalized Prandtl number on the velocity and temperature fields are   presented graphically and analyzed. Moreover, the critical formula for   parameters are derived which indicated that the magnetic field has no effect   on the critical value

Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity