Asymptotic behaviour of Stokes flow in a thin domain with amoving rough boundary

Validerad; 2014; 20140610 (johsod)
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.

Koroleva, YuliaLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)yulkor (författare)
Tsandzana, Afonso FernandoLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)afotsa (författare)
Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall (författare)
Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)

Ingår i:Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences: The Royal Society470:21671364-50211471-2946

Av författaren/redakt...: Fabricius, John; Koroleva, Yulia; Tsandzana, Afons ...; Wall, Peter

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