On the MHD flow of fractional generalized Burgers＇ fluid with modified Darcy＇s law On the MHD flow of fractional generalized Burgers’ fluid with modified Darcy’s law期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the MHD flow of fractional generalized Burgers＇ fluid with modified Darcy＇s law

摘要：
关键词：	建模管道流体微积分磁流体动力
收稿时间：	18 August 2006
修稿时间：	23 January 2007
On the MHD flow of fractional generalized Burgers’ fluid with modified Darcy’s law

Authors:	T Hayat M Khan S Asghar

Affiliation:	(1) Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan;(2) COMSATS Institute of Information Technology H-8, Islamabad, 44000, Pakistan

Abstract:	This work is concerned with applying the fractional calculus approach to the magnetohydrodynamic (MHD) pipe flow of a fractional generalized Burgers’ fluid in a porous space by using modified Darcy’s relationship. The fluid is electrically conducting in the presence of a constant applied magnetic field in the transverse direction. Exact solution for the velocity distribution is developed with the help of Fourier transform for fractional calculus. The solutions for a Navier–Stokes, second grade, Maxwell, Oldroyd-B and Burgers’ fluids appear as the limiting cases of the present analysis.

Keywords:	Modeling Generalized Burgers’ fluid Fractional calculus Exact solution
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