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Flow in thin domains with a microstructure: Lubrication and thin porous media
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Maskinelement.ORCID-id: 0000-0001-7029-1112
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.ORCID-id: 0000-0003-1993-8229
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Strömningslära och experimentell mekanik.ORCID-id: 0000-0002-1033-0244
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.ORCID-id: 0000-0001-8211-3671
Rekke forfattare: 42017 (engelsk)Inngår i: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1798, artikkel-id 020172Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
AIP Publishing , 2017. Vol. 1798, artikkel-id 020172
HSV kategori
Forskningsprogram
Maskinelement; Matematik; Strömningslära
Identifikatorer
URN: urn:nbn:se:ltu:diva-62224DOI: 10.1063/1.4972764ISI: 000399203000171Scopus ID: 2-s2.0-85013665597OAI: oai:DiVA.org:ltu-62224DiVA, id: diva2:1077788
Konferanse
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 4-8 July 2016
Merknad

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

Tilgjengelig fra: 2017-03-01 Laget: 2017-03-01 Sist oppdatert: 2018-11-20bibliografisk kontrollert

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Almqvist, AndreasFabricius, JohnLundström, StaffanWall, Peter

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