Homogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluid

dc.contributor.authorRohan, Eduard
dc.contributor.authorNaili, Salah
dc.date.accessioned2020-11-02T11:00:18Z
dc.date.available2020-11-02T11:00:18Z
dc.date.issued2020
dc.description.abstract-translatedThis paper aims to clarify the homogenization results of the fluid–structure interaction in porous structures under the quasi-static and dynamic loading regimes. In the latter case, the acoustic fluctuations yield naturally a linear model which can be introduced in the configuration deformed as the consequence of the steady permanent flow. We consider a Newtonian slightly compressible fluid under the barotropic acoustic approximation. In contrast with usual simplifications, the advection phenomenon of the Navier–Stokes equations is accounted for. The homogenization results are based on the periodic unfolding method combined with the asymptotic expansion technique which provide a straight procedure leading the local problems for corrector functions yielding the effective model parameters and the macroscopic model. We show that the local problems for the solid and fluid parts are decoupled even in the dynamic interactions including the wall shear stress on the periodic interfaces. The dynamic permeability depends on the fluid flow properties including the advection effects associated with an assumed stationary perfusion of the porous structure.en
dc.format28 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E., NAILI, S. Homogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluid. Zeitschrift für angewandte Mathematik und Physik, 2020, roč. 71, č. 4, s. 1-28. ISSN 0044-2275.en
dc.identifier.document-number552198900001
dc.identifier.doi10.1007/s00033-020-01361-1
dc.identifier.issn0044-2275
dc.identifier.obd43930164
dc.identifier.uri2-s2.0-85088557658
dc.identifier.urihttp://hdl.handle.net/11025/39875
dc.language.isoenen
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
dc.project.IDGA17-01618S/Akustika kapalin v periodických mikroarchitekturáchcs
dc.publisherBirkhäuser Verlagde
dc.relation.ispartofseriesZeitschrift Fur Angewandte Mathematik Und Physikde
dc.rightsPlný text není přístupný.cs
dc.rights© Birkhäuser Verlagde
dc.rights.accessclosedAccessen
dc.subjectmodelování a optimalizacecs
dc.subjectHomogenizationen
dc.subjectporous mediaen
dc.subjectacoustic wavesen
dc.subjectNavier Stokes equationsen
dc.subjectfluid structure interactionen
dc.subjectdynamic permeabilityen
dc.subjectadvectionen
dc.titleHomogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluiden
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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