Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 36718, 16 pages
doi:10.1155/2007/36718
Research Article
An Approximate Solution for Flow between Two Disks Rotating about Distinct Axes at Different Speeds
Department of Mechanical Engineering, Yıldız Technical University, İstanbul 34349, Turkey
Received 19 September 2006; Revised 17 January 2007; Accepted 18 January 2007
Academic Editor: Kumbakonam Rajagopal
Copyright © 2007 H. Volkan Ersoy. 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 flow of a linearly viscous fluid between two disks rotating about two distinct vertical axes is
studied. An approximate analytical solution is obtained by taking into account the case of rotation with
a small angular velocity difference. It is shown how the velocity components depend on the position, the
Reynolds number, the eccentricity, the ratio of angular speeds of the disks, and the parameters satisfying
the conditions u=0 and ν=0 in midplane.