Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 898720, 17 pages
Research Article

Unsteady Flow and Heat Transfer of a Dusty Fluid through a Rectangular Channel

Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka 577 451, India

Received 3 August 2010; Accepted 30 December 2010

Academic Editor: J. Jiang

Copyright © 2010 B. J. Gireesha et al. 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 present discussion deals with the study of an unsteady flow and heat transfer of a dusty fluid through a rectangular channel under the influence of pulsatile pressure gradient along with the effect of a uniform magnetic field. The analytical solutions of the problem are obtained using variable separable and Fourier transform techniques. The graphs are drawn for the velocity fields of both fluid and dust phases under the effect of Reynolds number. Further, changes in the Nusselt number are shown graphically, and, on the basis of these, the conclusions and discussions are given.