Volume 7, Issue 5
Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

Lei Lu, Junsheng Duan & Longzhen Fan

Adv. Appl. Math. Mech., 7 (2015), pp. 675-686.

Published online: 2018-05

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  • Abstract

In this paper, the nonlinear boundary value problem (BVP) for the JefferyHamel 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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@Article{AAMM-7-675, author = {Lei Lu, Junsheng Duan and Longzhen Fan}, title = {Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {5}, pages = {675--686}, abstract = {

In this paper, the nonlinear boundary value problem (BVP) for the JefferyHamel 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m543}, url = {http://global-sci.org/intro/article_detail/aamm/12070.html} }
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