Table of Contents
ISRN Mechanical Engineering
Volume 2012, Article ID 873481, 9 pages
http://dx.doi.org/10.5402/2012/873481
Research Article

Numerical Modelling of Squeeze Film Performance between Rotating Transversely Rough Curved Circular Plates under the Presence of a Magnetic Fluid Lubricant

1Department of Mathematics, Faculty of Engineering, Marwadi Foundation Group of Institutions, Rajkot 360 003, Gujarat State, India
2Department of Mathematics, Sardar Patel University, V. V. Nagar-388120, Gujarat State, India

Received 13 May 2012; Accepted 8 August 2012

Academic Editors: S. Cartmell, J. Hu, and R. Nagaosa

Copyright © 2012 Nikhilkumar D. Abhangi 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 endeavour has been made to study and analyze the behaviour of a magnetic fluid-based squeeze film between curved transversely rough rotating circular plates when the curved upper plate lying along a surface determined by an exponential function approaches the curved lower plate along the surface governed by a secant function. A magnetic fluid is used as the lubricant in the presence of an external magnetic field oblique to the radial axis. The random roughness of the bearing surfaces is characterised by a stochastic random variable with nonzero mean, variance, and skewness. The associated nondimensional averaged Reynolds equation is solved with suitable boundary conditions in dimensionless form to obtain the pressure distribution, leading to the expression for the load carrying capacity. The results establish that the bearing system registers an enhanced performance as compared to that of the bearing system dealing with a conventional lubricant. This investigation proves that albeit the bearing suffers due to transverse surface roughness, there exist sufficient scopes for obtaining a relatively better performance in the case of negatively skewed roughness by properly choosing curvature parameters and the rotation ratio. It is appealing to note that the negative variance further enhances this positive effect.