Solution of the Falkner-Skan wedge flow by HPM-Pade' method

Authors:
H. Bararnia;E. Ghasemi;Soheil Soleimani;Abdoul R. Ghotbi;D. D. Ganji
Affiliations:
Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, University of Idaho, 1776 Science Center Dr, Idaho Falls, ID 83402, USA;Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran
Venue:
Advances in Engineering Software
Year:
2012

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Abstract

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.