Unsteady boundary layer flow of nano second grade fluid over unsteady stretching surface with convective conditions

In this paper the effect of convective boundary conditions on the unsteady boundary layer flow of second grade nanofluid over a stretching surface is examined. The significance of the Brownian motion and thermophoresis is considered. We consider the two dimensional, unsteady flow for second grade nanofluid model. The highly non-linear partial differential equations are reduced to nonlinear ordinary differential equations using similarity variables. The reduced non-linear system of coupled ordinary differential equations are solved numerically using Maple as well as with the help of homotopy analysis method (HAM) using Mathematica. The effects of major parameters of second grade nanofluid are presented and discussed through graphs and tables.