Skip to main content
Log in

RETRACTED ARTICLE: Effects of boundary slippage on thin-film lubrication between two nonparallel plane plates

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

This article was retracted on 01 October 2012

Abstract

Hydrodynamic lubrications between two plane plates with an intersection angle θ have been investigated using the boundary slippage theory, and relations are obtained between dimensionless pressures and coordinate x, between bearing capacity, friction force, friction coefficient and dimensionless slipping size factor. The results show that bearing capacity of two plane plates without boundary slippage significantly increases with increasing intersection angle θ when 0 < θ < 1°, whereas decreases with increasing intersection angle θ when θ > 1°. The results also show that negative pressure occurs in fluid entrance region and bearing capacity decreases, and friction force and friction coefficient increase with the increase of dimensionless slipping size factor.

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. Ehret, P., Dowson, D., Taylor, C.M.: On lubricant transport conditions in elastohydrodynamic conjunctions. Proc. R. Soc. London, Ser. A 454, 763–787 (1998)

    Article  MATH  Google Scholar 

  2. Cieplak, M., Koplik, J., Banavar, J.R.: Boundary conditions at a fluid-solid interface. Phys. Rev. Lett. 86, 803–806 (2001)

    Article  Google Scholar 

  3. Zhang, Y.B.: Mixed rheologies in elastohydrodynamic lubrication. Ind. Lubr. Tribol. 56, 88–106 (2004)

    Article  Google Scholar 

  4. Jacobson, B.J., Hamrock, B.J.: Non-Newtonian fluid model incorporated into elastohydrodynamic lubrication of rectangular contacts. J. Tribol. 106, 275–284 (1984)

    Article  Google Scholar 

  5. Shieh, J., Hamrock, B.J.: Film collapse in EHL and micro-EHL. J. Tribol. 113, 372–377 (1991)

    Article  Google Scholar 

  6. Kaneta, M., Nishikawa, H., Kanada, T., et al.: Abnormal phenomena appearing in EHL contacts. J. Tribol. 118, 886–892 (1996)

    Article  Google Scholar 

  7. Zhang, Y.B.: Boundary slippage used to generate hydrodynamic load-carrying capacity. Appl. Math. Mech. 29, 1048–1056 (2008)

    Google Scholar 

  8. Thompson, P.A, Troian, S.M.: A general boundary condition for liquid flow at solid surfaces. Nature 389, 360–362 (1997)

    Article  Google Scholar 

  9. Zhu, Y.X., Granick, S.: Rate-dependent slip of Newtonian liquid at smooth surfaces. Phys. Rev. Lett. 87, 096105 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shu-Hao Ban.

Additional information

This article is retracted at the request of the Editor-in-Chief and the author due to copyright issues concerning all the research data, theory, method and conclusion.

About this article

Cite this article

Ban, SH., Li, XY. RETRACTED ARTICLE: Effects of boundary slippage on thin-film lubrication between two nonparallel plane plates. Acta Mech Sin 28, 625–630 (2012). https://doi.org/10.1007/s10409-012-0086-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-012-0086-7

Keywords

Navigation