Application of He's homotopy perturbation method to boundary layer flow, convection heat and mass transfer over a flat plate

The problem of forced convection from a horizontal flat plate at high mass transfer rates is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations. In this study the set of boundary layer equations is extended by adding the equation of continuity for one species soluble in the flowing fluid and solving the differential equations of continuity, motion, energy and mass so that the concentration profile can be evaluated. It has been attempted to show the capabilities and applications of the homotopy perturbation method in comparison with the previous ones in solving mass transfer problems. A clear conclusion can be drawn from the numerical and analytical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. The high acuity is guaranteed in the case that the Schmidt number (Sc) equals one.

Keywords:

convection , mass transfer , nonlinear equations , homotopy perturbation method (HPM) , numerical method