Solution of the Falkner–Skan wedge flow by HPM–Pade’ method

In this paper, the temperature and velocity fields associated with the Falkner–Skan boundary-layer problem have been studied. The nonlinear boundary-layer equations are solved analytically by homotopy Perturbation method (HPM) employing Pade’ technique. Analytical results for the temperature and velocity of the flow are presented through graphs and tables for various values of the wedge angle and Prandtl number. It is seen that the current results in comparison with the numerical ones are in excellent agreement and the HPM–Pade’ solution provides a convenient way to control and adjust the convergence region of a system of nonlinear boundary-layer problems.

► In this paper, the temperature and velocity fields associated with a boundary-layer problem have been studied. ► The nonlinear boundary-layer equations are solved analytically by HPM–Pade’. ► HPM–Pade’ provides a convenient way to solve nonlinear partial differential equations.