Table of Contents
International Journal of Computational Mathematics
Volume 2014 (2014), Article ID 367618, 9 pages
http://dx.doi.org/10.1155/2014/367618
Research Article

Combined Effect of Surface Roughness and Slip Velocity on Jenkins Model Based Magnetic Squeeze Film in Curved Rough Circular Plates

Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat 388 120, India

Received 17 July 2014; Revised 3 November 2014; Accepted 18 November 2014; Published 3 December 2014

Academic Editor: Anh-Huy Phan

Copyright © 2014 Jimit R. Patel and Gunamani 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.

Linked References

  1. J. L. Neuringer and R. E. Rosensweig, “Magnetic Fluids,” Magnetic Fluid, Physics of Fluids, vol. 7, no. 12, p. 1927, 1964. View at Google Scholar
  2. N. Tipei, “Theory of lubrication with ferrofluids: application to short bearings,” Transactions of ASME, vol. 104, pp. 510–515, 1982. View at Google Scholar
  3. V. K. Agrawal, “Magnetic-fluid-based porous inclined slider bearing,” Wear, vol. 107, no. 2, pp. 133–139, 1986. View at Publisher · View at Google Scholar · View at Scopus
  4. R. C. Shah and M. V. Bhat, “Magnetic fluid based porous inclined slider bearing with velocity slip,” International Journal of Applied Mechanics and Engineering, vol. 18, no. 2, pp. 331–336, 2003. View at Google Scholar
  5. G. S. Nada and T. A. Osman, “Static performance of finite hydrodynamic journal bearings lubricated by magnetic fluids with couple stresses,” Tribology Letters, vol. 27, no. 3, pp. 261–268, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. N. S. Patel, D. P. Vakharia, and G. M. Deheri, “A study on the performance of a magnetic-fluid-based hydrodynamic short journal bearing,” ISRN Mechanical Engineering, vol. 2012, Article ID 603460, 7 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. R. C. Shah and M. V. Bhat, “Squeeze film based on magnetic fluid in curved porous rotating circular plates,” Journal of Magnetism and Magnetic Materials, vol. 208, no. 1, pp. 115–119, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. G. M. Deheri and N. Abhangi, “Numerical modelling of a magnetic fluid-based squeeze film between rotating transversely rough curved circular plates,” International Journal of Computational Materials Science and Surface Engineering, vol. 4, no. 3, pp. 185–204, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. J. T. Jenkins, “A theory of magnetic fluids,” Archive for Rational Mechanics and Analysis, vol. 46, pp. 42–60, 1972. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  10. P. Ram and P. D. S. Verma, “Ferrofluid lubrication in porous inclined slider bearing,” Indian Journal of Pure and Applied Mathematics, vol. 30, no. 12, pp. 1273–1281, 1999. View at Google Scholar · View at Scopus
  11. R. C. Shah and M. V. Bhat, “Ferrofluid lubrication in porous inclined slider bearing with velocity slip,” International Journal of Mechanical Sciences, vol. 44, no. 12, pp. 2495–2502, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. N. Ahmad and J. P. Singh, “Magnetic fluid lubrication of porous-pivoted slider bearing with slip velocity,” Proceedings of the Institution of Mechanical Engineers Part J: Journal of Engineering Tribology, vol. 221, no. 5, pp. 609–613, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. S. T. Tzeng and E. A. Saibel, “Surface roughness effect on slider bearing lubrication,” Transactions ASME, Journal of Lubrication Technology, vol. 10, pp. 334–338, 1967. View at Google Scholar
  14. H. Christensen and K. C. Tonder, “Tribology of rough surfaces: stochastic models of hydrodynamic lubrication,” SINTEF Report 10, 1969. View at Google Scholar
  15. H. Christensen and K. C. Tonder, “Tribology of rough surfaces: parametric study and comparison of lubrication models,” SINTEF Report 22, 1969. View at Google Scholar
  16. H. Christensen and K. C. Tonder, “The hydrodynamic lubrication of rough bearing surfaces of finite width,” in Proceedings of the ASME-ASLE Lubrication Conference, Paper no. 70-lub-7, Cincinnati, Ohio, USA, October 1970.
  17. L. L. Ting, “Engagement behavior of lubricated porous annular disks. Part I: squeeze film phase—surface roughness and elastic deformation effects,” Wear, vol. 34, no. 2, pp. 159–172, 1975. View at Publisher · View at Google Scholar · View at Scopus
  18. J. Prakash and K. Tiwari, “Lubrication of a porous bearing with surface corrugations,” Journal of lubrication technology, vol. 104, no. 1, pp. 127–134, 1982. View at Publisher · View at Google Scholar · View at Scopus
  19. S. K. Guha, “Analysis of dynamic characteristics of hydrodynamic journal bearings with isotropic roughness effects,” Wear, vol. 167, no. 2, pp. 173–179, 1993. View at Publisher · View at Google Scholar · View at Scopus
  20. J. L. Gupta and G. M. Deheri, “Effect of roughness on the behavior of squeeze film in a spherical bearing,” Tribology Transactions, vol. 39, no. 1, pp. 99–102, 1996. View at Publisher · View at Google Scholar · View at Scopus
  21. H.-L. Chiang, C.-H. Hsu, and J.-R. Lin, “Lubrication performance of finite journal bearings considering effects of couple stresses and surface roughness,” Tribology International, vol. 37, no. 4, pp. 297–307, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. G. M. Deheri, H. C. Patel, and R. M. Patel, “Behavior of magnetic fluid based squeeze film between porous circular plates with porous matrix of variable thickness,” International Journal of Fluid Mechanics Research, vol. 34, no. 6, pp. 506–514, 2007. View at Publisher · View at Google Scholar · View at Scopus
  23. N. M. Bujurke, D. P. Basti, and R. B. Kudenatti, “Surface roughness effects on squeeze film behavior in porous circular disks with couple stress fluid,” Transport in Porous Media, vol. 71, no. 2, pp. 185–197, 2008. View at Publisher · View at Google Scholar · View at Scopus
  24. M. E. Shimpi and G. M. Deheri, “Surface roughness and elastic deformation effects on the behaviour of the magnetic fluid based squeeze film between rotating porous circular plates with concentric circular pockets,” Tribology in Industry, vol. 32, no. 2, pp. 21–30, 2010. View at Google Scholar · View at Scopus
  25. R. M. Patel, G. Deheri, and H. C. Patel, “Effect of surface roughness on the behavior of a magnetic fluid-based squeeze film between circular plates with porous matrix of variable thickness,” Acta Polytechnica Hungarica, vol. 8, no. 5, pp. 171–190, 2011. View at Google Scholar · View at Scopus
  26. N. D. Abhangi and G. M. Deheri, “Numerical modelling of squeeze film performance between rotating transversely rough curved circular plates under the presence of a magnetic fluid lubricant,” ISRN Mechanical Engineering, vol. 2012, Article ID 873481, 9 pages, 2012. View at Publisher · View at Google Scholar
  27. R. B. Kudenatti, N. Murulidhara, and H. P. Patil, “Numerical solution of the MHD reynolds equation for squeeze-film lubrication between porous and rough rectangular plates,” ISRN Tribology, vol. 2013, Article ID 724307, 10 pages, 2013. View at Publisher · View at Google Scholar
  28. N. D. Patel and G. M. Deheri, “A ferrofluid lubrication of a rough, porous, inclined slider bearing with slip velocity,” Journal of Mechanical Engineering and Technology, vol. 4, no. 1, pp. 15–34, 2012. View at Google Scholar
  29. R. R. Rao, K. Gouthami, and J. V. Kumar, “Effects of velocity-slip and viscosity variation in squeeze film lubrication of two circular plates,” Tribology in Industry, vol. 35, no. 1, pp. 51–60, 2013. View at Google Scholar · View at Scopus
  30. J. R. Patel and G. M. Deheri, “Shliomis model based ferrofluid lubrication of squeeze film in rotating rough curved circular disks with assorted porous structures,” The American Journal of Industrial Engineering, vol. 1, no. 3, pp. 51–61, 2013. View at Google Scholar
  31. J. R. Patel and G. Deheri, “Theoretical study of shliomis model based magnetic squeeze film in rough curved annular plates with assorted porous structures,” FME Transactions, vol. 42, no. 1, pp. 56–66, 2014. View at Publisher · View at Google Scholar · View at Scopus
  32. M. V. Bhat, Lubrication with a Magnetic Fluid, Team Spirit (India), 2003.
  33. B. L. Prajapati, On certain theoretical studies in hydrodynamic and electro-magneto hydrodynamic lubrication [Ph.D. thesis], S. P. University, Vallabh Vidhyanagar, India, 1995.
  34. J. R. Patel and G. M. Deheri, “Shliomis model based magnetic fluid lubrication of a squeeze film in rotating rough curved circular plates,” Caribbean Journal of Science and Technology, vol. 1, pp. 138–150, 2013. View at Google Scholar
  35. G. M. Deheri, P. I. Andharia, and R. M. Patel, “Transversely rough slider bearings with squeeze film formed by a magnetic fluid,” International Journal of Applied Mechanics and Engineering, vol. 10, no. 1, pp. 53–76, 2005. View at Google Scholar