Some exact solutions for fractional generalized Burgers' fluid in a porous space

摘要

This work is concerned with deriving the equation for describing the magnetohydrodynamic (MHB) flow of a fractional generalized Burgers' fluid in a porous space. Modified Darcy's law has been taken into account. Closed form solutions for velocity are obtained in three problems. The solutions for Navier-Stokes, second grade, Maxwell, Oldroyd-B and Burgers' fluids appear as the limiting cases of the obtained solutions. A parametric study of some physical parameters involved in the problems is performed to illustrate the influence of these parameters on the velocity profiles. (c) 2007 Elsevier Ltd. All rights reserved.