Magnetohydrodynamic stagnation point flow of a power-law nanofluid towards a convectively heated stretching sheet with slip

Abstract

In this study, the combined effects of velocity slip and convective heating, Brownian motion and thermophoresis on the magnetohydrodynamic stagnation point flow, and heat transfer of a power-law nanofluid over a stretching sheet is investigated. Using appropriate similarity transformation and the Runge–Kutta–Fehlberg fourth fifth order with shooting technique, the model nonlinear governing differential equations are obtained and solved numerically. The effect of variations of parameters on nanofluid velocity, temperature, concentration, skin friction coefficient, local Nusselt number, and local Sherwood number are presented and discussed. It is found that the skin friction coefficient is an increasing function of a power-law index n and a decreasing function of the slip parameter δ. Both local Nusselt number and local Sherwood number are increasing function of a power-law index. Increase in Biot number increases local Nusselt number but decreases the local Sherwood number. The results of the study are compared with the previously published result and are found to be in excellent agreement with it.