Combined effects of magnetohydrodynamics and radiation on nano Sisko fluid towards a nonlinear stretching sheet

Abstract

The steady 2D nano Sisko fluid flow and heat transfer, represented by incompressible nano Sisko fluid constitutive model, over a nonlinear stretching surface are investigated in this article. The governing non-linear boundary layer equations of an incompressible nano Sisko fluid are transformed into the non-linear ordinary differential equations by mean of suitable transformations. The coupled nonlinear ordinary differential equations are then solved by using a numerical scheme namely bvp4c in MATLAB. Effects of thermophoresis, Brownian motion, magnetic and radiation parameters are assessed carefully through plots for temperature and concentration profiles. In addition, the local Nusselt and Sherwood numbers for several values of physical parameters are tabulated and examined for various values of power law index n. The analysis reveals that the temperature profile is an increasing function of magnetic field, radiation parameter, thermophoresis and Brownian motion parameters. Additionally, it reveals that the concentration boundary layer thickness enhances with magnetic filed and diminishes with radiation parameters. Keywords: Magnetohydrodynamics, Nano Sisko fluid, Thermophoresis, Brownian motion, Numerical solutions, Nonlinear stretching sheet