Abstract
In this report, the hydromagnetic dissipative Newtonian/non-Newtonian fluid flow over a stretched surface is examined numerically. Brownian moment, Joule heating, thermophoresis effects are considered. Similarity variables are employed to transform the non-linear PDEs into ODEs. The eminent shooting scheme is employed to determine the solution of the nonlinear equations. Solutions are achieved for different benefits of parameters of the model and the consequences are predicted in plots and tables. The Brownian moment imposed to accelerate the energy field and the dissipation influences to expand both the thermal and momentum fields. Also, simultaneous solutions are exhibited and found that the heat transport in Casson fluids has superior properties than the regular fluid.