Homotopy perturbation method for nonlinear MHD Jeffery-Hamel problem

Authors:
S. M. Moghimi;D. D. Ganji;H. Bararnia;M. Hosseini;M. Jalaal
Affiliations:
Department of Mechanical Engineering, Islamic Azad University, Qaemshahr Branch, Qaemshahr, Mazandaran, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Islamic Azad University, Qaemshahr Branch, Qaemshahr, Mazandaran, Iran;School of Engineering, The University of British Columbia, Kelowna, BC, Canada V1V1V7
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

The article solves the Jeffery-Hamel flow using the homotopy perturbation method, an explicit analytical solution is obtained, and the effect of external magnetic field is studied. Comparison of the obtained result with the numerical one reveals validity of the used method.