Table of Contents
ISRN Tribology
Volume 2013, Article ID 724307, 10 pages
Research Article

Numerical Solution of the MHD Reynolds Equation for Squeeze-Film Lubrication between Porous and Rough Rectangular Plates

1Department of Mathematics, Bangalore University, Bangalore 560 001, India
2Department of Mathematics, Sri Siddhartha Institute of Technology, Tumkur 572 105, India
3Department of Mathematics, Siddaganga Institute of Technology (SIT), Tumkur 572 103, India

Received 13 December 2012; Accepted 5 January 2013

Academic Editors: J. H. Jang and S. Xiong

Copyright © 2013 Ramesh B. Kudenatti et al. 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 present theoretical study investigates the effects of surface roughness and couple-stress fluid between two rectangular plates, of which an upper rough plate has a roughness structure and the lower plate has a porous material in the presence of transverse magnetic field. The lubricant in the gap is taken to be a viscous, incompressible, and electrically conducting couple-stress fluid. This gap is separated by a film thickness H which is made up of nominal smooth part and rough part. The modified Reynolds equation in the film region is derived for one-dimensional longitudinal roughness structure and solved numerically using multigrid method. The numerical results for various physical parameters are discussed in terms of pressure distribution, load capacity, and squeeze film time of the bearing surfaces. Our results show that, the pressure distribution, load capacity and squeeze film time are predominant for larger values of Hartman number and roughness parameter, and for smaller values of couple-stress parameters when compared to their corresponding classical cases.