Three dimensional MHD flow of nanofluid over an exponential porous stretching sheet with convective boundary conditions

Abstract

A numerical simulation for three dimensional steady flow of nanofluids passing through an exponential stretching sheet in presence of magnetohydrodymaics is presented. The surface of stretching sheet is considered as pervious. Buongiorno model associated with Brownian motion and thermophoretic diffusion is also employed. Well known similarity transformations are used to convert the governing equations into a set of ordinary differential equations. The transformed equations are then solved numerically using fourth order Runge-Kutta method. The effects of transverse magnetic field and permiability on dimensionless fluid velocity, fluid temperature, skin friction, Nusselt number and Sherwood number are examined. The numerical results accomplished in the present study are validated and felt to be in good agreement with the previously published results. The numerical computations reveal that that the Lorentz force due to presence of magnetic field impinges its resistance on fluid motion and enhances the thermal resistance. As a consequence, heat transfer rate from the sheet gets reduced in association with the porosity of the medium.