Table of Contents
Journal of Fluids
Volume 2015 (2015), Article ID 253504, 5 pages
http://dx.doi.org/10.1155/2015/253504
Research Article

Suction/Injection Effects on the Swirling Flow of a Reiner-Rivlin Fluid near a Rough Surface

1Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India
2Faculté de Génie, Université de Sherbrooke, Sherbrooke, QC, Canada J1K 2R1
3Aix-Marseille Université, CNRS, École Centrale, Laboratoire M2P2 UMR 7340, 13451 Marseille, France
4Department of Mathematics, Luther College, University of Regina, Regina, SK, Canada S4S 0A2

Received 25 August 2014; Accepted 16 December 2014

Academic Editor: Robert M. Kerr

Copyright © 2015 Bikash Sahoo 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 similarity equations for the Bödewadt flow of a non-Newtonian Reiner-Rivlin fluid, subject to uniform suction/injection, are solved numerically. The conventional no-slip boundary conditions are replaced by corresponding partial slip boundary conditions, owing to the roughness of the infinite stationary disk. The combined effects of surface slip (), suction/injection velocity (), and cross-viscous parameter () on the momentum boundary layer are studied in detail. It is interesting to find that suction dominates the oscillations in the velocity profiles and decreases the boundary layer thickness significantly. On the other hand, injection has opposite effects on the velocity profiles and the boundary layer thickness.