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A Comparison of the Roughness Regimes in Hydrodynamic Lubrication
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-1993-8229
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-0799-5285
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-3556-328X
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2017 (English)In: Journal of tribology, ISSN 0742-4787, E-ISSN 1528-8897, Vol. 139, no 5, article id 051702Article in journal (Refereed) Published
Abstract [en]

This work relates to previous studies concerning the asymptotic behavior of Stokes flow in a narrow gap between two surfaces in relative motion. It is assumed that one of the surfaces is rough, with small roughness wavelength l, so that the film thickness h becomes rapidly oscillating. Depending on the limit of the ratio h/l, denoted as k, three different lubrication regimes exist: Reynolds roughness (k-0), Stokes roughness (0<γ<1), and high-frequency roughness (γ = ∞). In each regime, the pressure field is governed by a generalized Reynolds equation, whose coefficients (so-called flow factors) depend on k. To investigate the accuracy and applicability of the limit regimes, we compute the Stokes flow factors for various roughness patterns by varying the parameter k. The results show that there are realistic surface textures for which the Reynolds roughness is not accurate and the Stokes roughness must be used instead.

Place, publisher, year, edition, pages
ASME Press, 2017. Vol. 139, no 5, article id 051702
National Category
Mathematical Analysis Tribology (Interacting Surfaces including Friction, Lubrication and Wear)
Research subject
Mathematics; Machine Elements
Identifiers
URN: urn:nbn:se:ltu:diva-64734DOI: 10.1115/1.4035868ISI: 000406397500016Scopus ID: 2-s2.0-85020933899OAI: oai:DiVA.org:ltu-64734DiVA, id: diva2:1118904
Note

Validerad;2017;Nivå 2;2017-07-03 (andbra)

Available from: 2017-07-03 Created: 2017-07-03 Last updated: 2018-03-08Bibliographically approved

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Fabricius, JohnTsandzana, Afonso FernandoPérez-Ràfols, FrancescWall, Peter

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Mathematical AnalysisTribology (Interacting Surfaces including Friction, Lubrication and Wear)

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