Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 840203, 23 pages
http://dx.doi.org/10.1155/2012/840203
Research Article

Hall Currents and Heat Transfer Effects on Peristaltic Transport in a Vertical Asymmetric Channel through a Porous Medium

E. Abo-Eldahab,1 E. Barakat,1 and Kh. Nowar2

1Department of Mathematics, Faculty of Science, Helwan University, Helwan 11795, Egypt
2Department of Mathematics, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received 28 December 2011; Accepted 27 February 2012

Academic Editor: Hung Nguyen-Xuan

Copyright © 2012 E. Abo-Eldahab 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.

Abstract

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.