Non-Newtonian effects on lubricant thin-film flows

  • Xin Kai LiEmail author


A long-standing question is readdressed as to whether the viscoelasticity can have a measurable effect on lubrication characteristics in thin-film flows. Specifically, a perturbation method based on the upper convected Maxwell constitutive equation is employed to analyze thin-film flows of a non-Newtonian fluid between two surfaces. The results show that there is a significant enhancement on the pressure field in the presence of viscoelasticity when the minimum thin-film thickness is sufficiently small. This mechanism suggests that viscoelasticity does indeed produce a beneficial effect on lubrication characteristics, which is consistent with experimental observations.

Key words

lubrication thin-film non-Newtonian fluids viscoelasticity 


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  1. [1]
    TANNER R I. Engineering Rheology [M]. (2nd ed). Oxford: Oxford University Press, 2000.Google Scholar
  2. [2]
    CAMERON A. Basic Lubrication Theory [M]. Chichester: Ellis Horwood, 1981.Google Scholar
  3. [3]
    WILLIAMSON B P, WALTERS K, BATES T, et al. The viscoelastic properties of multigrade oils and their effect on journal-bearing characteristics [J]. J Non-Newtonian Fluid Mech, 1997, 73: 115–126.CrossRefGoogle Scholar
  4. [4]
    BATES T, WILLIAMSON B, SPEAROT J, et al. A correlation between engine oil rheology and oil film thickness in engine journal bearing [R]. Soc Automotive Eng, Paper No. 860376, 1986.Google Scholar
  5. [5]
    TICHY J A. Non-Newtonian lubrication with the convected Maxwell model [J]. Transactions of the ASME, 1996, 118: 344–348.CrossRefGoogle Scholar
  6. [6]
    ZHANG R, LI X K. An analysis of non-Newtonian effects on lubricant thin film flows [J]. J Engineering Mathematics, 2005.Google Scholar

Copyright information

© Central South University Press, Sole distributor outside Mainland China: Springer 2007

Authors and Affiliations

  1. 1.Faculty of Computing Sciences and EngineeringDe Montfort UniversityLeicesterUK

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