Table of Contents
Indian Journal of Materials Science
Volume 2015 (2015), Article ID 159698, 9 pages
http://dx.doi.org/10.1155/2015/159698
Research Article

Combined Effect of Slip Velocity and Surface Roughness on a Magnetic Squeeze Film for a Sphere in a Spherical Seat

Department of Mathematics, Sardar Patel University, Vallabh Vidhyanagar, Gujarat 388120, India

Received 18 May 2015; Accepted 26 July 2015

Academic Editor: Pradeep Lancy Menezes

Copyright © 2015 G. M. Deheri and Sejal J. Patel. 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. M. V. Bhat and G. M. Deheri, “Magnetic-fluid-based squeeze film in curved porous circular discs,” Journal of Magnetism and Magnetic Materials, vol. 127, no. 1-2, pp. 159–162, 1993. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Jan, “Investigation on magnetic fluids as lubricant,” Indian Journal of Engineering and Materials Sciences, vol. 11, no. 4, pp. 338–342, 2004. View at Google Scholar · View at Scopus
  3. J.-R. Lin, R.-F. Lu, M.-C. Lin, and P.-Y. Wang, “Squeeze film characteristics of parallel circular disks lubricated by ferrofluids with non-Newtonian couple stresses,” Tribology International, vol. 61, pp. 56–61, 2013. View at Publisher · View at Google Scholar · View at Scopus
  4. S. T. Tzeng and E. Saibel, “Surface roughness effect on slider bearing lubrication,” ASLE Transactions, vol. 10, pp. 334–342, 1967. View at Google Scholar
  5. H. Christensen and K. C. Tonder, “Tribology of rough surfaces: parametric study and comparison of lubrication models,” Report 22/69-18, SINTEF, Trondheim, Norway, 1969. View at Google Scholar
  6. H. Christensen and K. C. Tonder, “Tribology of rough surfaces: stochastic models of hydrodynamic lubrication,” SINTEF Report 10/69-18, 1969. View at Google Scholar
  7. 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.
  8. B. L. Prajapati, “Squeeze film behaviour between rotating porous circular plates with a concentric circular pocket: surface roughness and elastic deformation effects,” Wear, vol. 152, no. 2, pp. 301–307, 1992. View at Publisher · View at Google Scholar · View at Scopus
  9. 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
  10. P. I. Andharia, J. L. Gupta, and G. M. Deheri, “Effect of transverse surface roughness on the behavior of squeeze film in a spherical bearing,” International Journal of Applied Mechanics and Engineering, vol. 4, pp. 19–24, 1999. View at Google Scholar
  11. P. I. Andharia, G. M. Deheri, and J. L. Gupta, “Effect of longitudinal surface roughness on the behavior of squeeze film in a spherical bearing,” International Journal of Applied Mechanics and Engineering, vol. 6, no. 4, pp. 885–897, 2001. View at Google Scholar
  12. N. B. Naduvinamani, P. S. Hiremath, and G. Gurubasavaraj, “Effect of surface roughness on the couple-stress squeeze film between a sphere and a flat plate,” Tribology International, vol. 38, no. 5, pp. 451–458, 2005. View at Publisher · View at Google Scholar · View at Scopus
  13. T. Pylios and D. E. T. Shepherd, “Prediction of lubrication regimes in wrist implants with spherical bearing surfaces,” Journal of Biomechanics, vol. 37, no. 3, pp. 405–411, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. J. Zueco and O. A. Bég, “Network numerical analysis of hydromagnetic squeeze film flow dynamics between two parallel rotating disks with induced magnetic field effects,” Tribology International, vol. 43, no. 3, pp. 532–543, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. J.-R. Lin, “Inertia force effects in the non-Newtonian couple stress squeeze film between a sphere and a flat plate,” Tribology International, vol. 67, pp. 81–89, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. S. J. Patel and G. M. Deheri, “Ferrofluid lubrication of a squeeze film in rough porous parallel circular disks, considering slip velocity,” Journal of Mechanical and Industrial Engineering Research, vol. 3, no. 2, pp. 9–24, 2014. View at Google Scholar
  17. G. S. Beavers and D. D. Joseph, “Boundary conditions at a naturally permeable wall,” Journal of Fluid Mechanics, vol. 30, no. 01, pp. 197–207, 1967. View at Publisher · View at Google Scholar
  18. W. Hai, “Effect of velocity-slip on the squeeze film between porous reactangular plates,” Wear, vol. 20, no. 1, pp. 67–71, 1972. View at Publisher · View at Google Scholar · View at Scopus
  19. E. M. Sparrow, G. S. Beavers, and I. T. Hwang, “Effect of velocity slip on porous-walled squeeze films,” Journal of Tribology, vol. 94, no. 3, pp. 260–264, 1972. View at Google Scholar
  20. J. Prakash and S. K. Vij, “Effect of velocity slip on the squeeze film between rotating porous annular discs,” Wear, vol. 38, no. 1, pp. 73–85, 1976. View at Publisher · View at Google Scholar · View at Scopus
  21. K. C. Patel, “The hydromagnetic squeeze film between porous circular disks with velocity slip,” Wear, vol. 58, no. 2, pp. 275–281, 1980. View at Publisher · View at Google Scholar · View at Scopus
  22. A. W. Yacout, A. S. Ismaeel, and S. Z. Kassab, “The combined effects of the centripetal inertia and the surface roughness on the hydrostatic thrust spherical bearings performance,” Tribology International, vol. 40, no. 3, pp. 522–532, 2007. View at Publisher · View at Google Scholar · View at Scopus
  23. N. D. Patel and G. M. Deheri, “Effect of surface roughness on the performance of a magnetic fluid based parallel plate porous slider bearing with slip velocity,” Journal of the Serbian Society for Computational Mechanics, vol. 5, no. 1, pp. 104–118, 2011. View at Google Scholar
  24. R. U. Patel and G. M. Deheri, “Effect of slip velocity on the performance of a short bearing lubricated with a magnetic fluid,” Acta Polytechnica, Journal of Advanced Engineering, vol. 53, no. 6, pp. 890–894, 2013. View at Publisher · View at Google Scholar · View at Scopus
  25. J. R. Patel and G. M. Deheri, “Effect of slip velocity and roughness on the performance of Jenkins model based on magnetic squeeze film in curved rough circular plates,” Journal of the Serbian Society for Computational Mechanics, vol. 8, no. 1, pp. 45–63, 2014. View at Google Scholar · View at Scopus
  26. J. R. Patel and G. M. Deheri, “Combined effect of surface roughness and slip velocity on Jenkins model based magnetic squeeze film in curved rough circular plates,” International Journal of Computational Mathematics, vol. 2014, Article ID 367618, 9 pages, 2014. View at Publisher · View at Google Scholar
  27. G. M. Deheri, S. J. Patel, and J. R. Patel, “Effect of surface roughness on a magnetic squeeze film for a sphere in a spherical seat,” Journal of the Serbian Society for Computational Mechanics, vol. 8, no. 2, pp. 1–13, 2014. View at Google Scholar · View at Scopus
  28. B. C. Majumdar, Introduction to Tribology of Bearings, S.Chand & Company Ltd., New delhi, India, 2008.
  29. J. L. Neuringer and R. E. Rosensweig, “Magnetic fluid,” Physics of Fluids, vol. 7, no. 12, pp. 19–27, 1964. View at Google Scholar
  30. M. V. Bhat, Lubrication with a Magnetic Fluid, Team Spirit Private Limited, Mumbai, India, 2003.
  31. B. L. Prajapati, On certain theoretical studies in hydrodynamic and electro-magneto-hydrodynamic lubrication [Ph.D. thesis], Sardar Patel University, Gujarat, India, 1995.
  32. B. Bhushan, Introduction to Tribology, John Wiley & Sons, 2002.