Application of homotopy analysis method to solve MHD Jeffery-Hamel flows in non-parallel walls

Authors:
S. M. Moghimi;G. Domairry;Soheil Soleimani;E. Ghasemi;H. Bararnia
Affiliations:
Department of Mechanical Engineering, Islamic Azad University, Qaemshahr Branch, Qaemshahr, 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;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:
2011

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Abstract

The MHD Jeffery-Hamel flows in non-parallel walls are investigated analytically for strongly nonlinear ordinary differential equations using homotopy analysis method (HAM). Results for velocity profiles in divergent and convergent channels are presented for various values of Hartmann and Reynolds numbers. The convergence of the obtained series solutions is explicitly studied and a proper discussion is given for the obtained results. Comparison between HAM and numerical solutions showed excellent agreement.