MAGNETO-HYDRO-DYNAMICS BOUNDARY LAYER VISCOUS FLOW OVER A STRETCHING SHEET: AN APPROACH BASED ON HOMOTOPY PERTURBATION ME

In this paper by means of homotopy perturbation method an approximate solution of the steady magneto-hydrodynamics flow under slip condition over a permeable stretching sheet has been studied. The homotopy perturbation method (HPM) has been used to solve the governing non linear equation to derive an approximate analytical solution. The main feature of the HPM is that it produces analytic expression for the solution to nonlinear differential equations and the obtained analytic solution is in the form of an infinite power series. In this work the analytic solution obtained by using first two terms from HPM solution. The solution is given in a closed form equation and is an approximate solution of the full governing Navier–Stokes equations. The effects of the slip, the magnetic and the mass transfer parameters are discussed. Results show that there is only one physical solution for any combination of the slip, the magnetic, and the mass transfer parameters. The velocity and shear stress profiles are greatly influenced by these parameters