Acta Mechanica Sinica

, Volume 6, Issue 4, pp 289–295 | Cite as

A generalized Reynolds equation based on non-Newtonian flow in lubrication mechanics

  • Yang Peiran
  • Wen Shizhu


A generalized Reynolds equation based on non-Newtonian flow is derived in this paper. This equation is suitable for a number of non-Newtonian flow models and can be solved numerically to obtain pressure fields in thermalhydrodynamically or elastohydrodynamically lubricated fluid films. A mathematical approach is given for solving simultaneously the shearing stress, shearing rate, velocity and equivalent viscosity. To show the application of this equation, two rheological models which have been widely used in lubrication mechanics are incorporated into this equation to obtain numerical solutions to the line contact thermal elastohydrodynamic lubrication problem.

Key Words

lubrication Reynolds equation rheology elastohydrodynamic lubrication 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Reynolds, O.,Transactions of the Royal Society, London,177 (1886), 157–243.Google Scholar
  2. [2]
    Dowson, D., and Higginson, G. R., Elastohydrodynamic Lubrication, Pergamon Press, (1966).Google Scholar
  3. [3]
    Hamrock, B. I., and Dowson, D.,ASME Journal of Lubrication Technology,99 (1977), 264–276.Google Scholar
  4. [4]
    Cheng, H. S.,ASLE Transactions,8 (1965), 397–410.Google Scholar
  5. [5]
    Zhu, D., and Wen, S. Z.,ASME Journal of Tribology,106 (1984), 246–254.Google Scholar
  6. [6]
    Dowson, D.,International Journal of Mechanical Science,4 (1962), 159–170.CrossRefGoogle Scholar
  7. [7]
    Najii, B., Bou-Said, B., and Berthe, D.,ASME Journal of Tribology,111 (1989), 29–34.Google Scholar
  8. [8]
    Houpert, L.,ASME Journal of Tribology,107(1985), 241–248.CrossRefGoogle Scholar
  9. [9]
    Johnson, K. L. and Tevaarwerk, J. L.,Proceedings of the Royal Society, London, Series A,356 (1977), 215–236.zbMATHGoogle Scholar
  10. [10]
    Johnson, K. L., an Cameron, R., Proceedings of the Institution of Mechanical Engineering,182, (1967–1968), 307–319.Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1990

Authors and Affiliations

  • Yang Peiran
    • 1
  • Wen Shizhu
    • 1
  1. 1.National Tribology LaboratoryTsinghua UniversityBeijingChina

Personalised recommendations