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Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 36718, 16 pages
http://dx.doi.org/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.