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

被引：70

作者：

Hayat, T.

Khan, M. ^{[1
]}

Asghar, S.

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[2] COMSATS Inst Informat Technol H8, Islamabad 44000, Pakistan

来源：

ACTA MECHANICA SINICA | 2007年 / 23卷 / 03期

关键词：

modeling; generalized Burgers' fluid; fractional calculus; exact solution;

D O I：

10.1007/s10409-007-0078-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：257 / 261

页数：5

共 11 条

[1] Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders [J].