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Homogenization of a...
Homogenization of a Reynolds equation describing compressible flow
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- Almqvist, Andreas (författare)
- Luleå tekniska universitet,Maskinelement
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- Fabricius, John (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Elsevier BV, 2012
- 2012
- Engelska.
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 390:2, s. 456-471
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We homogenize a Reynolds equation with rapidly oscillating film thickness function hε, assuming a constant compressiblity factor in the pressure-density relation. The oscillations are due to roughness on the bounding surfaces of the fluid film. As shown by previous studies, homogenization is an effective approach for analyzing the effects of surface roughness in hydrodynamic lubrication. By two-scale convergence theory we obtain the limit problem (homogenized equation) and strong convergence in L2 for the unknown density ρε. By adding a small corrector term we also obtain strong convergence in the Sobolev norm.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Tribologi (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Tribology (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Machine Elements
- Maskinelement
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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