Analytical study for unsteady nanofluid MHD Flow impinging on heated stretching sheet

An analysis is carried out to obtain analytical solution of an unsteady two-dimensional MHD nanofluid flow with heat and mass transfer over a heated surface. The governing partial differential equations are reduced to system of nonlinear ordinary differential equations using suitable transformations. The resulting nonlinear coupled system subject to the boundary conditions is solved using homotopy analysis method (HAM). Graphical and numerical demonstrations of the convergence of the HAM solutions are provided. A detailed study illustrating the influences of the magnetic, unsteady, suction/injection and nanofluid parameters, on the dimensionless velocity, temperature, concentration as well as on the skin friction coefficient, the reduced Nusselt and Sherwood numbers is conducted. It is found out that the flow field is substantially influenced due to unsteadiness, transpiration and magnetic field.