Oscillatory and steady shear viscosity: The Cox-Merz rule, superposition, and application to EHL friction

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Scott Bair
  • Tsuyoshi Yamaguchi
  • Ludwig Brouwer
  • Hubert Schwarze
  • Philippe Vergne
  • Gerhard Poll

External Research Organisations

  • Georgia Institute of Technology
  • Nagoya University
  • Clausthal University of Technology
  • Université de Lyon
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Details

Original languageEnglish
Pages (from-to)126-131
Number of pages6
JournalTribology international
Volume79
Early online date16 Jun 2014
Publication statusPublished - Nov 2014

Abstract

The new quantitative approach to elastohydrodynamic lubrication requires a description of the steady shear dependent viscosity for calculations of film thickness and friction. This property can be obtained from measurements in pressurized thin-film Couette viscometers. However, frequency dependent viscosity can be obtained from a torsionally vibrating quartz crystal viscometer at high pressure or a relatively simple ambient pressure measurement with a shear impedance spectrometer. Here it is shown for squalane and for a cyclic hydrocarbon and for a diester that both the steady shear dependent viscosity and the frequency dependent viscosity obey time-temperature-pressure superposition with the simplest shifting rule over the range of conditions investigated. Flow curves shift along a constant steady stress path or a constant complex modulus path. The Cox-Merz rule has been confirmed only for squalane and then only near the transition. The EHL friction for squalane at low pressure may be predicted with fair accuracy from the frequency dependent viscosity measured at ambient pressure. It appears that the Cox-Merz rule only applies to low-molecular-weight liquids when the molecule is composed of a long chain.

Keywords

    Cox-Merz rule, Elastohydrodynamic lubrication, Shear thinning, Time-temperature-pressure superposition

ASJC Scopus subject areas

Cite this

Oscillatory and steady shear viscosity: The Cox-Merz rule, superposition, and application to EHL friction. / Bair, Scott; Yamaguchi, Tsuyoshi; Brouwer, Ludwig et al.
In: Tribology international, Vol. 79, 11.2014, p. 126-131.

Research output: Contribution to journalArticleResearchpeer review

Bair S, Yamaguchi T, Brouwer L, Schwarze H, Vergne P, Poll G. Oscillatory and steady shear viscosity: The Cox-Merz rule, superposition, and application to EHL friction. Tribology international. 2014 Nov;79:126-131. Epub 2014 Jun 16. doi: 10.1016/j.triboint.2014.06.001
Bair, Scott ; Yamaguchi, Tsuyoshi ; Brouwer, Ludwig et al. / Oscillatory and steady shear viscosity : The Cox-Merz rule, superposition, and application to EHL friction. In: Tribology international. 2014 ; Vol. 79. pp. 126-131.
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