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

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

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.