Table of Contents
ISRN Tribology
Volume 2013, Article ID 482604, 6 pages
http://dx.doi.org/10.5402/2013/482604
Research Article

Performance of Magnetic-Fluid-Based Squeeze Film between Longitudinally Rough Elliptical Plates

1Department of Mathematics, M. K. Bhavnagar University, Bhavnagar, Gujarat 364002, India
2Department of Mathematics, S. P. University, Vallabh Vidyanagar, Gujarat 388120, India

Received 20 November 2012; Accepted 17 December 2012

Academic Editors: J. De Vicente, N. Gerolymos, and J. H. Jang

Copyright © 2013 P. I. Andharia and G. M. Deheri. 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

An attempt has been made to analyze the performance of a magnetic fluid-based-squeeze film between longitudinally rough elliptical plates. A magnetic fluid is used as a lubricant while axially symmetric flow of the magnetic fluid between the elliptical plates is taken into consideration under an oblique magnetic field. Bearing surfaces are assumed to be longitudinally rough. The roughness of the bearing surface is characterized by stochastic random variable with nonzero mean, variance, and skewness. The associated averaged Reynolds’ equation is solved with appropriate boundary conditions in dimensionless form to obtain the pressure distribution leading to the calculation of the load-carrying capacity. The results are presented graphically. It is clearly seen that the magnetic fluid lubricant improves the performance of the bearing system. It is interesting to note that the increased load carrying capacity due to magnetic fluid lubricant gets considerably increased due to the combined effect of standard deviation and negatively skewed roughness. This performance is further enhanced especially when negative variance is involved. This paper makes it clear that the aspect ratio plays a prominent role in improving the performance of the bearing system. Besides, the bearing can support a load even when there is no flow.