Table of Contents
ISRN Tribology
Volume 2013 (2013), Article ID 640178, 8 pages
Research Article

Effect of Surface Roughness and Couple Stresses on Squeeze Films between Curved Annular Plates

Department of Mathematics, S.D.M. College of Engineering & Technology, Dharwad 580 002, India

Received 18 May 2013; Accepted 7 July 2013

Academic Editors: J. H. Jang, C. Lin, G. Nikas, and J. Wang

Copyright © 2013 Dhanapal P. Basti. 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.


The combined effects of couple stresses and surface roughness patterns on the squeeze film characteristics of curved annular plates are studied. The Stokes (1966) couple stress fluid model is included to account for the couple stresses arising due to the presence of microstructure additives in the lubricant. In the context of Christensen's (1969) stochastic theory for the lubrication of rough surfaces, two types of one-dimensional roughness patterns (circumferential and radial) are considered. The governing modified stochastic Reynolds type equations are derived for these roughness patterns. Expressions for the mean squeeze film characteristics are obtained. Numerical computations of the results show that the circumferential roughness pattern on the curved annular plate results in more pressure buildup whereas performance of the squeeze film suffers due to the radial roughness pattern for both concave and convex pads. Further the squeeze film time is longer (shorter) for the circumferential (radial) roughness patterns. Improved squeeze film characteristics are predicted for the couple stress lubricant.