MHD free convective slip flow of a nanofluid from a nonlinearly radiating heated upward facing horizontal plate with zero mass flux boundary condition

Abstract

The aim of the present study is to investigate the effect of velocity slip, thermal slip and zero mass flux boundary conditions on the boundary layer flow of nanofluid over an upward facing horizontal plate. We consider two-dimensional laminar free convective boundary layer flow of a nanofluid past an upward facing permeable horizontal plate located in a porous medium. Lie group analysis is used to determine the similarity equations of the governing equations. The effects of relevant parameters on the dimensionless fluid velocity, the temperature, the nanoparticle volume fraction, the rate of heat transfer and the rate of nonoparticle volume fraction are investigated and shown graphically and discussed.