MHD boundary layer chemical reacting flow with heat transfer of Eyring-Powell nanofluid past a stretching sheet

The problem of laminar nano non-Newtonian fluid through the boundary layer, which results from the stretching of a flat surface, has been investigated. The model of Eyring-Powell is used for the fluid. Constant normal magnetic field, mixed convection, chemical reaction, viscous dissipation, ohmic dissipation, Brownian and thermophoresis effects are considered. The problem is modulated mathematically by a system of partial differential equations, which describe the motion. A similarity solution is presented to transform this system to ordinary non-linear differential equations. The numerical solutions of these equations are obtained as functions of the physical parameters of the problem. Such as, Brownian number Nb, thermophoresis number Nt, Lewis number Le, Prandtl number Pr, Magnetic parameter M and Elastic parameter b. Graphical evaluation is displayed to depict the intrinsic behavior of embedded parameters on velocity, temperature, and nanoparticle concentration profiles.