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Flow in thin domains with a microstructure: Lubrication and thin porous media
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.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-1033-0244
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
Number of Authors: 4
2017 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1798, 020172Article in journal (Refereed) Published
Abstract [en]

This paper is devoted to homogenization of different models of flow in thin domains with a microstructure. The focus is on applications connected to the effect of surface roughness in full film lubrication, but a parallel to flow in thin porous media is also discussed. Mathematical models of such flows naturally include two small parameters. One is connected to the fluid film thickness and the other to the microstructure. The corresponding asymptotic analysis is a delicate problem, since the result depends on how fast the two small parameters tend to zero relative to each other. We give a review of the current status in this area and point out some future challenges.

Place, publisher, year, edition, pages
2017. Vol. 1798, 020172
National Category
Mathematical Analysis Tribology Fluid Mechanics and Acoustics
Research subject
Machine Elements; Mathematics; Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-62224DOI: 10.1063/1.4972764ISI: 000399203000171Scopus ID: 2-s2.0-85013665597OAI: oai:DiVA.org:ltu-62224DiVA: diva2:1077788
Conference
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 4-8 July 2016
Note

2017-03-03 (andbra);Konferensartikel i tidskrift

Available from: 2017-03-01 Created: 2017-03-01 Last updated: 2017-11-24Bibliographically approved

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Almqvist, AndreasFabricius, JohnLundström, StaffanWall, Peter

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