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DC poleHodnotaJazyk
dc.contributor.authorTurjanicová, Jana
dc.contributor.authorRohan, Eduard
dc.contributor.authorLukeš, Vladimír
dc.date.accessioned2020-02-10T11:00:19Z-
dc.date.available2020-02-10T11:00:19Z-
dc.date.issued2019
dc.identifier.citationTURJANICOVÁ, J., ROHAN, E., LUKEŠ, V. Homogenization based two-scale modelling of ionic transport in fluid saturated deformable porous media. Computers & Mathematics with applications, 2019, roč. 78, č. 9, s. 3211-3235. ISSN 0898-1221.en
dc.identifier.issn0898-1221
dc.identifier.uri2-s2.0-85067282401
dc.identifier.urihttp://hdl.handle.net/11025/36434
dc.format25 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesComputers & Mathematics With Applicationsen
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.subjectHomogenizationcs
dc.subjectIonic transportcs
dc.subjectPorous mediacs
dc.titleHomogenization based two-scale modelling of ionic transport in fluid saturated deformable porous mediafr
dc.typečlánekcs
dc.typearticleen
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedThe paper deals with the homogenization and numerical modelling of deformable porous media saturated by two-component electrolytes. The model relevant to the microscopic scale describes steady states of the medium while reflecting essential physical phenomena, namely electrochemical interactions in a dilute Newtonian solvent under assumptions of a small external electrostatic field and slow flow. The homogenization is applied to a linearized micromodel, whereby the thermodynamic equilibrium represents the reference state. Due to the dimensional analysis, scaling of the viscosity and electric permittivityis introduced, so that the limit model retains the characteristic length associated with the pore size and the electric double layer thickness. The homogenized model consists of two weakly coupled parts: the steady flow of the electrolyte can be described in terms of a global pressure and streaming potentials of the two ions, independently of the solid phase deformations which are computed afterwards for the fluid stress acting on pore walls. The two-scale model has been implemented in the Sfepy finite element software. The numerical results show dependence of the homogenized coefficients on the microstructure porosity. By virtue of the corrector result of the homogenization, microscopic responses in a local representative cell can be reconstructed from the macroscopic solutions.en
dc.identifier.doi10.1016/j.camwa.2019.05.028
dc.type.statusPeer-revieweden
dc.identifier.document-number491624900026
dc.identifier.obd43926555
dc.project.IDGA16-03823S/Homogenizace a víceškálové výpočetní modelování proudění a nelineárních interakcí v porézních inteligentních prostředíchcs
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních struktur, modelování a optimalizacecs
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
Vyskytuje se v kolekcích:Články / Articles (KME)
Články / Articles (NTIS)
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