Discussion on a Common Assumption of the Lubricant Rheology

  • YANG Ping ,
  • CUI Jinlei ,
  • LIU Xiaoling ,
  • YANG Peiran
Expand
  • School of Mechanical Engineering, Qingdao Technological University, Qingdao 266033

Received date: 2016-06-07

  Revised date: 2016-12-11

  Online published: 2017-10-05

Abstract

Using a new proposed algorithm for the effective viscosity η* of an Eyring fluid, a common assumption γ=△u/h is discussed in the analysis of lubricant rheology, the relations of the friction coefficient μ of heavily loaded line contact thermal elastohydrodynamic lubrication with the Newtonian viscosity η, the effective viscosity η*, and the shear-strain rate γ of the Eyring fluid are studied theoretically through a strict numerical solution of a thermal elastohydrodynamic lubrication problem. Results show that, when the size of a contact is very small or in other similar cases with low temperatures, the traditional assumption of γ=△u/h can hold approximately, the friction coefficient, therefore, is dominated by the effective viscosity of the lubricant. However, when the size of the contact is very large or in other similar cases with high temperatures, γ=△u/h can no longer hold, the friction coefficient is mainly controlled not only by the effective viscosity but also by the change of the shear-strain rate, so the previous studies are inaccurate.

Cite this article

YANG Ping , CUI Jinlei , LIU Xiaoling , YANG Peiran . Discussion on a Common Assumption of the Lubricant Rheology[J]. Journal of Mechanical Engineering, 2017 , 53(19) : 195 -200 . DOI: 10.3901/JME.2017.19.195

References

[1] CROOK A W. The lubrication of rollers, IV-measure ments of friction and effective viscosity[J]. Phil. Trans. R. Soc.,1963,255:281-312.
[2] JOHNSON K L,CAMERON R. Fourth paper:Shear behaviour of elastohydrodynamic oil films at high rolling contact pressures[J]. Proc. Inst. Mech. Eng.,1967,182:307-330.
[3] SPIKES H,ZHANG J. History,origins and prediction of elastohydrodynamic friction[J]. Tribol. Lett.,2014,56:1-25.
[4] BAIR S,VERGNE P,KUMAR P,et al. Comment on "History,origins and prediction of elastohydrodynamic friction" by spikes and jie[J]. Tribol. Lett.,2015,58(16):1-8.
[5] LIU X L,CUI J L,YANG P R. Size effect on the behavior of thermal elastohydrodynamic lubrication of roller pairs[J]. ASME J. Tribol.,2012,134(1):011502-1-10.
[6] YANG P,WEN S. A generalized Reynolds equation for non-Newtonian thermal elastohydrodynamic lubrication[J]. ASME J. Tribol.,1990,112:631-636.
[7] ROELANDS C J A. Correlation aspects of viscosity-temperature-pressure relationship of lubricating oils[D]. Delft University of Technology,1996.
[8] DOWSON D,HIGGINSON G R. Elasto-hydrodynamic lubrication[M]. London:Pergamon Press,1977.
[9] EYRING H. Viscosity,plasticity and diffusion as examples of absolute reaction rates[J]. J. Chem. Phys.,1936,4:283-291.
[10] LIU Yuchuan,WANG Q J,BAIR S,et al. A quantitative solution for the full shear-thinning EHL point contact problem including traction[J]. Tribol. Lett.,2007,28:171-181.
[11] 杨萍,杨沛然. 斜齿圆柱齿轮的热弹流润滑理论[J]. 机械工程学报,2006,42(10):43-48. YANG Ping,YANG Peiran. Theory of thermal elastohydrodynamic lubrication for helical gears[J]. Chinese Journal of Mechanical Engineering,2006,42(10):43-48.
Outlines

/