Research Papers: Lubricants

Full EHL Simulations Using the Actual Ree–Eyring Model for Shear-Thinning Lubricants

[+] Author and Article Information
Punit Kumar

Department of Mechanical Engineering, Louisiana State University, 2508 Patrick Taylor Hall, Baton Rouge, LA 70803

M. M. Khonsari1

Department of Mechanical Engineering, Louisiana State University, 2508 Patrick Taylor Hall, Baton Rouge, LA 70803khonsari@me.lsu.edu

Scott Bair

Center for High-Pressure Rheology, George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405


Corresponding author.

J. Tribol 131(1), 011802 (Dec 04, 2008) (6 pages) doi:10.1115/1.3002328 History: Received April 16, 2008; Revised September 20, 2008; Published December 04, 2008

The Eyring sinh law, which is the most widely used model to describe the shear-thinning behavior of elastohydrodynamic lubrication (EHL) lubricants, fails to replicate the experimentally measured flow curves for shear-thinning lubricants. Interestingly, this law was rejected by Eyring for shear-thinning fluids and, in fact, it was found useful only for fluids thought to exhibit thixotropy. The “actual Ree–Eyring model” for shear-thinning involves multiple flow units with appropriate relaxation times. This paper presents an extensive set of full EHL line and point contact simulations to investigate the usefulness of the actual Ree–Eyring model in EHL applications with shear-thinning lubricants. Comparisons with published experimental data establish the validity of the actual Ree–Eyring model. Also presented is the application of an appropriate shifting rule expected to improve the agreement between simulations and experiments.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Variation of the central film thickness (hc) with the slide-to-roll ratio (S) in EHL line contact using the actual Ree–Eyring model and the Carreau model for the LF 5346 gear oil

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Figure 2

Comparison of simulated and experimental (20) dimensionless central film thickness (hc/R) for the case of PDMS oil in EHL line contact

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Figure 3

Comparison of simulated and experimental (26) central film thickness (hc) for the case of LF 5346 gear oil in EHL point contact under pure rolling

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Figure 4

Comparison of shifting rules

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Figure 5

Flow curves for the LF 5346 gear oil




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