Effects of velocity and thermal wall slip on magnetohydrodynamics (MHD) boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet: a numerical study

Abstract

In this analysis, the boundary layer viscous flow of nanofluids and heat transfer over a non-linearly-stretching sheet in the presence of a magnetic field is presented. Velocity and thermal slip conditions are considered instead of no slip conditions at the boundary. A similarity transformation set is used to transform the governing partial differential equations into non-linear ordinary differential equations. The reduced equations are solved numerically using the Keller box method. The influence of the governing parameters on the dimensionless velocity, temperature, nanoparticle concentration as well as the skin friction coefficient, Nusselt number, and local Sherwood number are analyzed. It is found that as the velocity slip parameter increases, the velocity profile is decreased and the skin friction and heat transfer decreased while the mass transfer is increased. Increasing the thermal slip parameter causes decreases in the heat and mass transfer rates. The results are presented in both graphical and tabular forms.