International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 573425, 15 pages
doi:10.1155/2008/573425
Research Article

Unsteady Stagnation-Point Flow of a Viscoelastic Fluid in the Presence of a Magnetic Field

F. Labropulu

Luther College - Mathematics, University of Regina, Regina, SK, S4S 0AZ, Canada

Received 26 June 2008; Revised 29 October 2008; Accepted 20 December 2008

Academic Editor: Hans Engler

Copyright © 2008 F. Labropulu. 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 unsteady two-dimensional stagnation point flow of the Walters B' fluid impinging on an infinite plate in the presence of a transverse magnetic field is examined and solutions are obtained. It is assumed that the infinite plate at y=0 is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained for various values of the Hartmann's number and the Weissenberg number.