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Mathematical Problems in Engineering
Volume 2006, Article ID 83937, 12 pages

Ion slip effect on unsteady Hartmann flow with heat transfer under exponential decaying pressure gradient

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 22 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.


The unsteady Hartmann flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates is studied with heat transfer taking the ion slip into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates, while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.