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

Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method
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Year:    2015

Author:    Lei Lu, Junsheng Duan, Longzhen Fan

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 675–686

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m543

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 675–686

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:   

Author Details

Lei Lu

Junsheng Duan

Longzhen Fan

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