Skip to main content
Log in

Development of algorithm for 3D mixed Elasto-Hydrodynamic lubrication analysis

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

In this study, new 3-dimensional mixed lubrication algorithm is developed. For a converged solution of the mixed lubrication problem, the asperity contact pressure is calculated for the amount of asperity contact occurred due to insufficient lubricant pressure, then the procedure adding the asperity contact pressure to the hydrodynamic pressure is continually iterated until the further asperity contact amount does not occur. This algorithm has advantage that the pressure and the film shape can be calculated from Reynolds equation for all mixed lubrication region without any specific boundary condition for edge of asperity contact region. In order to investigate usefulness of this algorithm, we conducted the mixed lubrication analysis for the spherical contact with a single asperity and a rough surface and showed that the developed algorithm gives a stable convergent solution even in which severe contact takes place due to asperity height being considerably large.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Christensen, H. and Tonder, K., “The Hydrodynamic Lubrication of Rough Journal Bearings,” J. Lubri. Tech. ASME, Vol. 95, pp. 166–172, 1973.

    Article  Google Scholar 

  2. Patir, N. and Cheng, H. S., “An average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial hydrodynamic Lubrication,” J. Lubri. Tech. ASME, Vol. 100, pp. 12–17, 1978.

    Article  Google Scholar 

  3. Lunde, L. and Tonder, K., “Pressure and Shear Flow in a Rough Hydrodynamic Bearing, Flow Factor Calculation,” ASME J. Tribol., Vol. 119, No. 3, pp. 549–555, 1997.

    Article  Google Scholar 

  4. Kim, T. W. and Cho, Y. J., “The flow factors considering the elastic deformation for the rough surface with a non-Gaussian height distribution,” Tribol. Trans., Vol. 51, No. 2, pp. 213–220, 2008.

    Article  Google Scholar 

  5. Kweh, C. C., Patching, M. J., Evans, H. P. and Snidle, R. W., “Simulation of elastohydrodynamic contacts between rough surfaces,” J. Tribol., Vol. 114, No. 3, pp. 412–419, 1992.

    Article  Google Scholar 

  6. Chang, L. and Webster, M. N., “A study of elastohydrodynamic lubrication of rough surfaces,” J. Tribol., Vol. 113, No. 1, pp. 110–115, 1991.

    Article  Google Scholar 

  7. Ai, X. and Cheng, H. S., “The effects of surface texture on EHL point contacts,” J. Tribol., Vol. 118, No. 1, pp. 59–66, 1996.

    Article  Google Scholar 

  8. Venner, C. H. and Lubrecht, A. A., “Numerical analysis of the influence of waviness on the film thickness of a circular EHL contact,” J. Tribol., Vol. 118, No. 1, pp. 153–161, 1996.

    Article  Google Scholar 

  9. Zhu, D. and Ai, X., “Point contact EHL based on optically measured three-dimensional rough surfaces,” J. Tribol., Vol. 119, No. 3, pp. 375–384, 1997.

    Article  Google Scholar 

  10. Wang, Q. J., Zhu, D., Zhou, R. and Hashimoto, F., “Investigating the effect of surface finish on mixed EHL in rolling and rolling-sliding contacts,” Tribol. Trans., Vol. 51, No. 6, pp. 748–761, 2008.

    Article  Google Scholar 

  11. Chang, L., “A deterministic model for line-contact partial elastohydrodynamic lubrication,” Tribol. Int., Vol. 28, No. 2, pp. 75–84, 1995.

    Article  Google Scholar 

  12. Jiang, X., Hua, D. Y., Cheng, H. S., Ai, X. and Lee, S. C., “A mixed elastohydrodynamic lubrication model with asperity contact,” J. Tribol., Vol. 121, No. 3, pp. 481–491, 1999.

    Article  Google Scholar 

  13. Hu, Y. Z. and Zhu, D., “A full numerical solution to the mixed lubrication in point contacts,” J. Tribol., Vol. 122, No. 1, pp. 1–9, 2000.

    Article  MathSciNet  Google Scholar 

  14. Love, A. E. H., “The Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary,” Phil. Trans. Royal Society, Vol. 228, pp. 377–420, 1929.

    Article  MATH  Google Scholar 

  15. Roelands, C. J. A., “Correlational Aspects of the viscosity-temperature-pressure relationship of lubricating oils,” Ph.D. Thesis, Dept. Chem. Eng., Delft University of Technology, 1966.

  16. Dowson, D. and Higginson, G. R., “Elasto-hydrodynamic Lubrication,” Pergamon Press, pp. 88–92, 1966.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tae-Wan Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cho, YY., Kim, TW. Development of algorithm for 3D mixed Elasto-Hydrodynamic lubrication analysis. Int. J. Precis. Eng. Manuf. 12, 1065–1070 (2011). https://doi.org/10.1007/s12541-011-0142-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-011-0142-4

Keywords

Navigation