Asymptotic analysis of the laminar viscous flow over a porous bed

We consider the laminar viscous channel flow over a porous surface. The size of the pores is much smaller than the size of the channel, and it is important to determine the effective boundary conditions at the porous surface. We study the corresponding boundary layers, and, by a rigorous asymptotic...

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Hauptverfasser: Jäger, Willi (VerfasserIn) , Mikelić, Andro (VerfasserIn) , Neuß, Nicolas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: March 20, 2001
In: SIAM journal on scientific computing
Year: 2001, Jahrgang: 22, Heft: 6, Pages: 2006-2028
ISSN:1095-7197
DOI:10.1137/S1064827599360339
Online-Zugang:Resolving-System, Volltext: http://dx.doi.org/10.1137/S1064827599360339
Verlag, Volltext: https://epubs.siam.org/doi/abs/10.1137/S1064827599360339
Volltext
Verfasserangaben:Willi Jäger, Andro Mikelic, and Nicolas Neuss
Beschreibung
Zusammenfassung:We consider the laminar viscous channel flow over a porous surface. The size of the pores is much smaller than the size of the channel, and it is important to determine the effective boundary conditions at the porous surface. We study the corresponding boundary layers, and, by a rigorous asymptotic expansion, we obtain Saffman’s modification of the interface condition observed by Beavers and Joseph.
Beschreibung:Published online: 25 July 2006
Gesehen am 28.08.2018
Beschreibung:Online Resource
ISSN:1095-7197
DOI:10.1137/S1064827599360339