Hermite-Pade approximation approach to MHD Jeffery-Hamel flows

被引:69
|
作者
Makinde, O. D. [1 ]
Mhone, P. Y. [1 ]
机构
[1] Univ Limpopo, Dept Appl Math, ZA-0727 Sovenga, South Africa
关键词
Jeffery-Hamel flows; magnetic field; Hermite-Pade approximants; bifurcation study;
D O I
10.1016/j.amc.2006.02.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we studied the problem of nonlinear flow of an incompressible conducting viscous fluid in convergent-divergent channels under the influence of an externally applied homogeneous magnetic field. The governing equations is obtained and solved using a special type of Hermite-Pade approximation semi-numerical approach. This technique offers some advantages over solutions obtained by using traditional methods such as finite differences, spectral method, shooting method, etc. It reveals the analytical structure of the solution function and the important properties of overall flow structure including velocity field, flow reversal control and bifurcations are discussed. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:966 / 972
页数:7
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