Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 513717, 8 pages
http://dx.doi.org/10.5402/2012/513717
Research Article

Unsteady Rotational Motion of a Slip Spherical Particle in a Viscous Fluid

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria 21511, Egypt

Received 21 September 2011; Accepted 13 October 2011

Academic Editors: A. Stefanov and G. F. Torres del Castillo

Copyright © 2012 E. A. Ashmawy. 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 rotational motion of a slip spherical particle with a nonuniform angular velocity in an incompressible viscous fluid flow is discussed. The technique of Laplace transform is used. The slip boundary condition is applied at the surface of the sphere. A general formula for the resultant torque acting on the surface of the sphere is deduced. Special fluid flows are considered and their results are represented graphically.