Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer

Attia, Hazem A.

doi:https://doi.org/10.1155/DENM/2006/75290

International Journal of Differential Equations

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Volume 2006 | Article ID 075290 | https://doi.org/10.1155/DENM/2006/75290

Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer

Hazem A. Attia¹

Received23 Dec 2005

Revised21 Feb 2006

Accepted29 May 2006

Published17 Jul 2006

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.

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Copyright

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.

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