NUMERICAL AND APPROXIMATE ANALYTIC SOLUTION OF MHD VISCOELASTIC NANOFLUID FLOW OVER A TWO WAY STRETCHING /SHRINKING SHEET.

We analyze the effect of magnetic field on the flow and heat transfer of non-Newtonian nanofluid over a Two way stretching sheet, where magnetic field is orientated normally to the plate. The Brownian motion [1] and Thermophoresis effects are also considered. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of local similarity transformations. The differential equations are solved by Homotopy Analysis Method (HAM) [2] and Runge Kutta Merson method (RKM) [3, 4, 5]. We have drawn the graphs for velocity distribution for HAM solution and RKM solution.