A mathematical model has been developed to study the mixed convection on MHD flow of Casson fluid over a nonlinearly permeable stretching sheet with thermal radiation, viscous dissipation, heat source/sink, chemical reaction and suction. In this investigation we also incorporated the Buogiorno's type Nanofluid model that include the effect of Brownian motion and thermophoresis. Suitable similarity transformations are used to reduce the governing partial differential equations (PDEs) into a set of nonlinear ordinary differential equations (ODEs). These equations are solved using homotopy analysis method (HAM). The convergence of series solutions is discussed explicitly. A comparison has been made and found to be in good agreement with a previous published result on special cases of the problem. The graphical and tabulated results are given to deliberate the physical nature of the problem. Casson parameter is helpful for minimizing the skin friction, the rate of heat and mass transfer. Whereas suction is useful in improving the heat and mass transfer rates.
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