MAGNETOHYDRODYNAMIC FLOW OF THIRD-GRADE NANOFLUID WITH CONVECTIVE BOUNDARY CONDITIONS

Abstract

The research focuses on boundary layer flow of an incompressible third grade nanofluid over a stretching surface under impact of convective boundary condition with presence of thermophoresis, Brownian motion, Newtonian heating, viscous dissipation and chemical reaction. Governing nonlinear equation of velocity, temperature and nanoparticle concentration modelled the problems are solved via shooting method and sixth-order Runge-Kutta. Results of velocity, temperature and nanoparticle concentration profiles are plotted and discussed for various values of fluid parameters such as Prandtl number, Lewis number, thermal biot parameter, chemical reaction parameter, Eckert number and thermophoresis and Brownian motion parameters. Numerical computations are performed. The results show that the change in temperature and nanoparticle concentration distribution functions is similar when we use higher values of material parameters. It is seen that the temperature and thermal boundary layer thickness are increasing functions of chemical reaction parameter Kr. An increase in thermophoresis and Brownian motion parameters tends to an enhancement in the temperature. Also increase in Eckert number resulted to rise in fluid temperature