This paper presents a thermal elastohydrodynamic lubrication (EHL) model for analyzing crowned roller lubrication performances under the influence of frictional heating. In this thermal EHL model, the Reynolds equation is solved to obtain the film thickness and pressure results while the energy equation and temperature integration equation are evaluated for the temperature rise in the lubricant and at the surfaces. The discrete convolution fast Fourier transform (DC-FFT) method is utilized to calculate the influence coefficients for both the elastic deformation and the temperature integration equations. The influences of the slide-to-roll ratio (SRR), load, crowning radius, and roller length on the roller lubrication and temperature rise are investigated. The results indicate that the thermal effect becomes significant for the cases with high SRRs or heavy loads. The proposed thermal EHL model is used to study the thermal-tribology behavior of an apex seal–housing interface in a rotary engine, and to assist the design of the apex seal crown geometry. A simplified crown design equation is obtained from the analysis results, validated through comparison with the optimal results calculated using the current crowned-roller thermo-EHL (TEHL) model.
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April 2019
Research-Article
A Thermal Elastohydrodynamic Lubrication Model for Crowned Rollers and Its Application on Apex Seal–Housing Interfaces
Zhong Liu,
Zhong Liu
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
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David Pickens III,
David Pickens III
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Search for other works by this author on:
Tao He,
Tao He
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Search for other works by this author on:
Xin Zhang,
Xin Zhang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
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Yuchuan Liu,
Yuchuan Liu
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
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Takayuki Nishino,
Takayuki Nishino
Powertrain Division,
Mazda Motor Corporation,
3-1 Shinchi, Fuchu-cho, Aki-gun,
Hiroshima 730-8670, Japan
Mazda Motor Corporation,
3-1 Shinchi, Fuchu-cho, Aki-gun,
Hiroshima 730-8670, Japan
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Q. Jane Wang
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Search for other works by this author on:
Zhong Liu
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
David Pickens III
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Tao He
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Xin Zhang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Yuchuan Liu
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Takayuki Nishino
Powertrain Division,
Mazda Motor Corporation,
3-1 Shinchi, Fuchu-cho, Aki-gun,
Hiroshima 730-8670, Japan
Mazda Motor Corporation,
3-1 Shinchi, Fuchu-cho, Aki-gun,
Hiroshima 730-8670, Japan
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
1Present address: GM Powertrain, Pontiac, MI 48340.
2Corresponding author.
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 30, 2018; final manuscript received December 26, 2018; published online February 13, 2019. Assoc. Editor: Liming Chang.
J. Tribol. Apr 2019, 141(4): 041501 (14 pages)
Published Online: February 13, 2019
Article history
Received:
September 30, 2018
Revised:
December 26, 2018
Citation
Liu, Z., Pickens III, D., He, T., Zhang, X., Liu, Y., Nishino, T., and Jane Wang, Q. (February 13, 2019). "A Thermal Elastohydrodynamic Lubrication Model for Crowned Rollers and Its Application on Apex Seal–Housing Interfaces." ASME. J. Tribol. April 2019; 141(4): 041501. https://doi.org/10.1115/1.4042503
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