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Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

Published online by Cambridge University Press:  21 July 2015

Lei Lu ,
Junsheng Duan  and
Longzhen Fan
Lei Lu
Affiliation:
School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China School of Management, Fudan University, Shanghai 200433, China
Junsheng Duan*
Affiliation:
School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China
Longzhen Fan
Affiliation:
School of Management, Fudan University, Shanghai 200433, China
*
*Corresponding author. Email: [email protected] (L. Lu), [email protected] (J. S. Duan)
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Abstract

In this paper, the nonlinear boundary value problem (BVP) for the Jeffery-Hamel flow equations taking into consideration the magnetohydrodynamics (MHD) effects is solved by using the modified Adomian decomposition method. We first transform the original two-dimensional MHD Jeffery-Hamel problem into an equivalent third-order BVP, then solve by the modified Adomian decomposition method for analytical approximations. Ultimately, the effects of Reynolds number and Hartmann number are discussed.

Keywords

76W0534B15Jeffery-Hamel flowmagnetohydrodynamicsnonlinear differential equationAdomian decomposition methodAdomian polynomials
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 5 , October 2015 , pp. 675 - 686
Copyright
Copyright © Global-Science Press 2015 

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