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Asymptotic behaviou...
Asymptotic behaviour of Stokes flow in a thin domain with amoving rough boundary
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- Fabricius, John (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Koroleva, Yulia (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Tsandzana, Afonso Fernando (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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visa fler...
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- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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visa färre...
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(creator_code:org_t)
- 2014-07-08
- 2014
- Engelska.
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Ingår i: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. - : The Royal Society. - 1364-5021 .- 1471-2946. ; 470:2167
- Relaterad länk:
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https://europepmc.or...
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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 consider a problem that models fluid flow in a thin domain bounded by two surfaces. One of the surfaces is rough and moving, whereas the other is flat and stationary. The problem involves two small parameters ε and μ that describe film thickness and roughness wavelength, respectively. Depending on the ratio λ = ε/μ, three different flow regimes are obtained in the limit as both of them tend to zero. Time-dependent equations of Reynolds type are obtained in all three cases (Stokes roughness, Reynolds roughness and high-frequency roughness regime). The derivations of the limiting equations are based on formal expansions in the parameters ε and μ.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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