Journal of Applied Mathematics
Volume 2008 (2008), Article ID 570825, 23 pages
doi:10.1155/2008/570825
Research Article
Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Received 2 June 2008; Accepted 29 September 2008
Academic Editor: Jacek Rokicki
Copyright © 2008 Kh. S. Mekheimer. 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
We carry out the effect of the induced magnetic field on peristaltic transport of an
incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines
are further discussed.