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Homogenization of a mathematical model for cavitation in thin film flow
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-3685-2072
Number of Authors: 1
2017 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1798, 020163Article in journal (Refereed) Published
Abstract [en]

This paper is a contribution to mathematical modeling of thin film flow between two surfaces which are in relative motion. In particular such flows are important in lubrication theory. For many shapes of the surfaces and boundary conditions the pressure in the fluid will be so low that the continuous fluid film ruptures and air bubbles are formed. This phenomenon is known as cavitation and have a huge impact on the hydrodynamic performance. We derive a mathematical model of thin film flow between two close surfaces which takes into account cavitation, surface roughness and pressure dependent density. Moreover, we use two-scale convergence to homogenize the model. In addition, we compute the coefficients of the homogenized equation for a simple class of functions that describe the film thickness.

Place, publisher, year, edition, pages
2017. Vol. 1798, 020163
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-62207DOI: 10.1063/1.4972755ScopusID: 2-s2.0-85013638718OAI: oai:DiVA.org:ltu-62207DiVA: diva2:1077625
Conference
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 4-8 July 2016
Note

Konferensartikel i tidskrift 2017-03-16 (andbra)

Available from: 2017-02-28 Created: 2017-02-28 Last updated: 2017-03-16Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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