Thermophoresis, Brownian motion and non-linear thermal radiation effects on mixed convection MHD micropolar fluid flow due to nonlinear stretched sheet in porous medium with viscous dissipation, joule heating and convective boundary condition

Abstract

The present paper addresses mixed convection micropolar fluid flow in porous medium with uniform magnetic field towards nonlinear stretched surface. Analysis is carried out in the presence of viscous dissipation, Joule heating and convective boundary condition. Characteristics of heat and mass transfer are analyzed with thermophoresis, Brownian motion, non-linear thermal radiation and chemical reaction. The governing dimensional non-linear system of partial differential equations are converted into dimensionless expressions using similarity transformations. Homotopy analysis method is employed to solved the dimensionless equations and obtained the expression of velocity, micro-rotation, temperature and concentration profiles. The positive values of magnetic field M and micropolar fluid parameter K, which leads to improve velocity and spin of the micro-elements in micropolar fluid flow. It is observed that velocity profiles in case of linear stretching sheet is less than that of non-linear stretching sheet. The values of skin-friction coefficient are more for the case of strong concentration compared to the case of weak concentration. Brownian motion and thermophoresis parameter tends to improve rate of heat transfer process. Rate of mass transfer process reduced with chemical reaction parameter.