Effects of thermophoresis and mixed convection on generalized Newtonian flow with gold nanoparticles

Abstract In this paper, non-Newtonian nanofluid flow with heat transfer through a non-Darcy porous medium has been studied, in the presence of effects. Moreover, The heat source, viscous and Ohmic dissipation, chemical reaction, elctromagnetic field, and biot number effects are taken into consideration. Suitable similarity transformations simplify the system of non-linear equations which govern the flow. Then, the Rung-Kutta-Merson method in a shooting and matching technique is used to obtain the numerical solutions of the velocity, temperature, and nanoparticles concentration as functions of the physical parameters of the problem. Moreover, the effects of these parameters on these solutions are discussed numerically and depicted graphically. It is found that both tangential and normal velocities increase or decrease as the Biot number increases. While as both the pressure gradient and radiation parameters increase, the temperature increases or decreases, and both Schmidt numbers and magnetic field parameter lead to increase the nanoparticles concentration.