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Analysis of the effects of rough surfaces in compressible thin film flow by homogenization
Narvik University College and Norut Narvik.
Narvik University College, 8505 Narvik, Norway.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2011 (English)In: International Journal of Engineering Science, ISSN 0020-7225, E-ISSN 1879-2197, Vol. 49, no 5, p. 369-377Article in journal (Refereed) Published
Abstract [en]

A classical problem in lubrication theory is to predict the pressure distribution in a thin fluid film between two surfaces which are in relative motion. If one of the surfaces is rough, then the distance between the surfaces is rapidly oscillating. This leads to that the governing Reynolds partial differential equation involves rapidly oscillating coefficients. The branch in mathematics which considers such types of equations is known as homogenization. In this paper we study the effects of surface roughness for a special type of compressible fluid. In particular, we derive homogenization results connected to the friction force and the load carrying capacity

Place, publisher, year, edition, pages
2011. Vol. 49, no 5, p. 369-377
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5431DOI: 10.1016/j.ijengsci.2010.10.005ISI: 000289331600001Scopus ID: 2-s2.0-79952618051Local ID: 3874b8e2-e0fd-4567-9f22-a1cad4ae3fd7OAI: oai:DiVA.org:ltu-5431DiVA, id: diva2:978305
Note
Validerad; 2011; 20110303 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Lukkassen, DagWall, Peter

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