Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis on magnetohydrodynamic free convective heat and mass transfer over a porous stretching surface

Abstract

This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity plays an important role on the concentration boundary layer. The results thus obtained are presented graphically and discussed.