Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 75290, 14 pages
doi:10.1155/DENM/2006/75290
Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer
Department of Mathematics, College of Science, Al-Qasseem University, P.O. Box 237, Buraidah 81999, Saudi Arabia
Received 23 December 2005; Revised 21 February 2006; Accepted 29 May 2006
Copyright © 2006 Hazem A. Attia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper studies the effect of variable viscosity on the
transient Couette flow of dusty fluid with heat transfer between
parallel plates. The fluid is acted upon by a constant pressure
gradient and an external uniform magnetic field is applied
perpendicular to the plates. The parallel plates are assumed to be
porous and subjected to a uniform suction from above and injection
from below. The upper plate is moving with a uniform velocity
while the lower is kept stationary. The governing nonlinear
partial differential equations are solved numerically and some
important effects for the variable viscosity and the uniform
magnetic field on the transient flow and heat transfer of both the
fluid and dust particles are indicated.