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Search: WFRF:(Koroleva Yulia) > (2014)

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  • Fabricius, John, et al. (author)
  • Asymptotic behaviour of Stokes flow in a thin domain with amoving rough boundary
  • 2014
  • In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. - : The Royal Society. - 1364-5021 .- 1471-2946. ; 470:2167
  • Journal article (peer-reviewed)abstract
    • 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.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Wall, Peter (1)
Fabricius, John (1)
Koroleva, Yulia (1)
Tsandzana, Afonso Fe ... (1)
University
Luleå University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2014 (1)Undo refine

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