Homotopy analysis for stagnation slip flow and heat transfer on a moving plate

The development of two-dimensional or axisymmetric stagnation flow of an incompressible viscous fluid over a moving plate with partial slip has been investigated. The effects of partial slip on the flow and heat transfer characteristics are considered. The equations of conservation of mass, momentum, and energy, which govern the flow and heat transfer, are solved analytically using homotopy analysis method. The convergence of the series solution is analyzed explicitly. Comparison of the present homotopy results is made with the existing numerical and asymptotic solution (Wang, 2006, "Stagnation Slip Flow and Heat Transfer on a Moving Plate," Chem. Eng. Sci., 23, pp. 7668-7672) and an excellent agreement is achieved.