analysis of mhd williamson nano fluid flow over a heated surface

In the present article williamson nano fluid flow over a continuously moving surface is discussed when thesurface is heated due to the presence of hot fluid under it. governing equations have been developed andsimplified using the suitable transformations. mathematical analysis of various physical parameters is presentedand the percentage heat transfer enhancement is discussed due to variation of these parameters. weemployed optimal homotopy analysis method to obtain the solution. it is presented that initial guessoptimization will provide us one more degree of freedom to obtain the convergent and better solutions.