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

被引：11
作者：
Lu, Lei [1 ,2 ]
Duan, Junsheng [1 ]
Fan, Longzhen [2 ]
机构：
[1] Shanghai Inst Technol, Sch Sci, Shanghai 201418, Peoples R China
[2] Fudan Univ, Sch Management, Shanghai 200433, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2015年 / 7卷 / 05期
基金：
上海市自然科学基金;
关键词：
Jeffery-Hamel flow; magnetohydrodynamics; nonlinear differential equation; Adomian decomposition method; Adomian polynomials; DIFFERENTIAL-EQUATIONS; VISCOUS-FLUID; PLANE WALLS; POLYNOMIALS; ALGORITHM; CONVERGENCE; OPERATORS;
D O I：
10.4208/aamm.2014.m543
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：675 / 686
页数：12
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