Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 42651, 11 pages
doi:10.1155/2007/42651
Research Article

On the Steady Flow of a Second-Grade Fluid between Two Coaxial Porous Cylinders

M. Emin Erdoğan and C. Erdem İmrak

Mechanical Engineering Department, Faculty of Mechanical Engineering, Istanbul Technical University, Gümüşsuyu, Istanbul 34437, Turkey

Received 8 February 2007; Accepted 3 June 2007

Recommended by Kumbakonam Rajagopal

Abstract

An exact solution of an incompressible second-grade fluid for flow between two coaxial porous cylinders is given. The velocity profiles for various values of the cross-Reynolds number and the elastic number are plotted. It is found that for large values of the cross-Reynolds number, the velocity variation near boundaries shows a different behaviour than that of the Newtonian fluid.