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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
Article

Abstract

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 

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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

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