The form of the Reynolds-type equation which governs the macroscopic mechanics of hydrodynamic lubrication interfaces with a microscopic texture is well-accepted. The central role of the ratio of the mean film thickness to the texture period in determining the flow factor tensors that appear in this equation had been highlighted in a pioneering theoretical study through a rigorous two-scale derivation (Bayada and Chambat, 1988, “New Models in the Theory of the Hydrodynamic Lubrication of Rough Surfaces,” ASME J. Tribol., 110, pp. 402–407). However, the resulting homogenization theory still remains to be numerically investigated. For this purpose, after a comprehensive review of the literature, three microscopic regimes of lubrication will be outlined, and the transition between these three regimes for different texture types will be extensively demonstrated. In addition to conventional textures, representative re-entrant textures will also be addressed.
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January 2018
Research-Article
Homogenization in Hydrodynamic Lubrication: Microscopic Regimes and Re-Entrant Textures
İ. N. Yıldıran,
İ. N. Yıldıran
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
Bilkent University,
Ankara 06800, Turkey
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İ. Temizer,
İ. Temizer
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
e-mail: temizer@bilkent.edu.tr
Bilkent University,
Ankara 06800, Turkey
e-mail: temizer@bilkent.edu.tr
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B. Çetin
B. Çetin
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
Bilkent University,
Ankara 06800, Turkey
Search for other works by this author on:
İ. N. Yıldıran
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
Bilkent University,
Ankara 06800, Turkey
İ. Temizer
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
e-mail: temizer@bilkent.edu.tr
Bilkent University,
Ankara 06800, Turkey
e-mail: temizer@bilkent.edu.tr
B. Çetin
Department of Mechanical Engineering,
Bilkent University,
Ankara 06800, Turkey
Bilkent University,
Ankara 06800, Turkey
1Corresponding author.
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 17, 2016; final manuscript received May 11, 2017; published online July 21, 2017. Assoc. Editor: Stephen Boedo.
J. Tribol. Jan 2018, 140(1): 011701 (19 pages)
Published Online: July 21, 2017
Article history
Received:
November 17, 2016
Revised:
May 11, 2017
Citation
Yıldıran, İ. N., Temizer, İ., and Çetin, B. (July 21, 2017). "Homogenization in Hydrodynamic Lubrication: Microscopic Regimes and Re-Entrant Textures." ASME. J. Tribol. January 2018; 140(1): 011701. https://doi.org/10.1115/1.4036770
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