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The homogenization process of the Reynolds equation describing compressible liquid flow
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0001-7029-1112
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2006 (English)In: Tribology International, ISSN 0301-679X, E-ISSN 1879-2464, Vol. 39, no 9, p. 994-1002Article in journal (Refereed) Published
Abstract [en]

This paper summarizes the homogenization process of rough, hydrodynamic lubrication problems governed by the Reynolds equation used to describe compressible liquid flow. Here, the homogenized equation describes the limiting result when the wavelength of a modeled surface roughness goes to zero. The lubricant film thickness is modeled by one part describing the geometry/shape of the bearing and a periodic part describing the surface topography/roughness. By varying the periodic part as well as its wavelength, we can try to systematically investigate the applicability of homogenization on this type of problem. The load carrying capacity is the target parameter; deterministic solutions are compared to homogenized by this measure. We show that the load carrying capacity rapidly converges to the homogenized results as the wavelength decreases, proving that the homogenized solution gives a very accurate representation of the problem when real surface topographies are considered

Place, publisher, year, edition, pages
2006. Vol. 39, no 9, p. 994-1002
National Category
Mathematical Analysis Tribology (Interacting Surfaces including Friction, Lubrication and Wear)
Research subject
Mathematics; Machine Elements
Identifiers
URN: urn:nbn:se:ltu:diva-2394DOI: 10.1016/j.triboint.2005.09.036ISI: 000239981200019Scopus ID: 2-s2.0-33746300511Local ID: 001b0310-c264-11db-9ea3-000ea68e967bOAI: oai:DiVA.org:ltu-2394DiVA, id: diva2:975246
Note

Validerad; 2006; 20061109 (cira)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Almqvist, AndreasDasht, Johan

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CiteExportLink to record
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  • apa
  • ieee
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  • Other style
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  • de-DE
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  • en-US
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Output format
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