MHD Stagnation Point Flow and Heat Transfer of a Nanofluid over a Non-isothermal Stretching Sheet in Porous Medium

Abstract

The present study deals with the MHD stagnation point flow of Nanofluid past a non-isothermal stretching sheet in porous medium. The presence of Brownian motion and thermophoresis effects yields a coupled nonlinear Boundary Value Problem. The sheet is assumed to be permeable. Similarity transformations are invoked to reduce the partial differential equations into higher order nonlinear ODE’s. The transformed equations are solved numerically by using a well known finite difference scheme Keller-Box method. The analysis has been carried out for two different cases, namely prescribed surface temperature (PST) and prescribed heat flux (PHF) to see the effects of governing parameters for various physical conditions. The various non dimensional parameters effects with velocity, temperature and concentration profiles are discussed in detail with graphically and tabular form. The results indicate that increasing the Brownian motion parameter and thermophoresis parameter reduces the heat transfer rate at the surface. Increasing porosity parameter reduces the velocity of nanofluid and increases the temperature of nanofluid.