An Optimal Homotopy Asymptotic Approach Applied to Nonlinear MHD Jeffery‐Hamel Flow | Zendy

Vasile Marinca | Zendy; Nicolae Herişanu | Zendy

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An Optimal Homotopy Asymptotic Approach Applied to Nonlinear MHD Jeffery‐Hamel Flow

Author(s) -

Vasile Marinca,

Nicolae Herişanu

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/169056

Subject(s) - magnetohydrodynamics , homotopy analysis method , nonlinear system , homotopy , flow (mathematics) , mathematics , mathematical analysis , calculus (dental) , mechanics , physics , pure mathematics , geometry , plasma , medicine , quantum mechanics , dentistry

A simple and effective procedure is employed to propose a new analytic approximate solution for nonlinear MHD Jeffery-Hamel flow. This technique called the Optimal Homotopy Asymptotic Method (OHAM) does not depend upon any small/large parameters and provides us with a convenient way to control the convergence of the solution. The examples given in this paper lead to the conclusion that the accuracy of the obtained results is growing along with increasing the number of constants in the auxiliary function, which are determined using a computer technique. The results obtained through the proposed method are in very good agreement with the numerical results

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