About: Effective slip law for general viscous flows over oscillating surface

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider the non-stationary three-dimensional viscous flow in a bounded domain, with the lateral surface containing microscopic surface irregularities. Under the assumption of a smooth flow in the domain without roughness, we prove that there is a smooth solution to a problem with the rough boundary. In the papers by Jäger and Mikelić, the friction law was obtained as a perturbation of the Poiseuille flows. Here, the situation is more complicated. Nevertheless, after studying the corresponding boundary layers and using the results on solenoidal vector fields in domains with rough boundaries, we obtain rigorously the Navier friction condition. It is valid when the size and amplitude of the imperfections tend to zero. Furthermore, the friction matrix in the law is determined through a family of auxiliary boundary-layer type problems. Effective equations approximate velocity at order O (ε) in the H1-norm, uniformly in time, and O(ε3 2) in the L2-norm, also uniformly in time. We consider the non-stationary three-dimensional viscous flow in a bounded domain, with the lateral surface containing microscopic surface irregularities. Under the assumption of a smooth flow in the domain without roughness, we prove that there is a smooth solution to a problem with the rough boundary. In the papers by Jäger and Mikelić, the friction law was obtained as a perturbation of the Poiseuille flows. Here, the situation is more complicated. Nevertheless, after studying the corresponding boundary layers and using the results on solenoidal vector fields in domains with rough boundaries, we obtain rigorously the Navier friction condition. It is valid when the size and amplitude of the imperfections tend to zero. Furthermore, the friction matrix in the law is determined through a family of auxiliary boundary-layer type problems. Effective equations approximate velocity at order O (ε) in the H1-norm, uniformly in time, and O(ε3 2) in the L2-norm, also uniformly in time. (en)
Title	Effective slip law for general viscous flows over oscillating surface Effective slip law for general viscous flows over oscillating surface (en)
skos:prefLabel	Effective slip law for general viscous flows over oscillating surface Effective slip law for general viscous flows over oscillating surface (en)
skos:notation	RIV/67985840:_____/13:00398436!RIV14-GA0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA13-00522S)
http://linked.open...iv/cisloPeriodika	15
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Nečasová, Šárka
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	71873
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00398436
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	boundary with irregularities; roughness; boundary homogenization (en)
http://linked.open.../riv/klicoveSlovo	boundary homogenization boundary with irregularities roughness
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[4E271AA1C66C]
http://linked.open...i/riv/nazevZdroje	Mathematical Methods in the Applied Sciences
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	36
http://linked.open...iv/tvurceVysledku	Nečasová, Šárka Mikelić, A. Neuss-Radu, M.
http://linked.open...ain/vavai/riv/wos	000325111100010
issn	0170-4214
number of pages	25 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/mma.2923

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