Effect of Magnetic Field on Heat Transfer in Non-Newtonian Nanofluids Over a Nonisothermal Stretching Wall

Abstract

In this study, the effects of magnetic field on combined heat and mass transfer in non-Newtonian nanofluids over a stretching surface with prescribed wall temperature and uniform surface nanoparticle concentration are investigated numerically. A power-law model is used for non-Newtonian fluids, whereas Brownian motion and thermophoresis effects are incorporated in the nanofluid model. A set of similarity transformation is used to reduce mass, momentum, thermal energy, and nanoparticles concentration equations into nonlinear ordinary differential equations, which are solved numerically by using a fourth–fifth order Runge–Kutta–Fehlberg method. Effects of nanofluid parameters, suction/injection and temperature parameters, and generalized Pr and Le numbers on dimensionless functions, skin friction, local Nusselt, and Sherwood numbers are investigated in the presence of magnetic field and are shown graphically. The quantitative comparison of skin friction and heat transfer rates with the published results for special cases is shown in tabular form and is found in good agreement.