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Rarefied Pure Gas Transport in Non-Isothermal Porous Media: Effective Transport properties from Homogenization of the Kinetic Equation

hal.structure.identifierLaboratoire des Composites Thermostructuraux [LCTS]
dc.contributor.authorVIGNOLES, Gérard
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCHARRIER, Pierre
hal.structure.identifierIFP Energies nouvelles [IFPEN]
dc.contributor.authorPREUX, Christophe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUBROCA, Bruno
dc.date.accessioned2024-04-04T02:54:02Z
dc.date.available2024-04-04T02:54:02Z
dc.date.issued2007-10-11
dc.identifier.issn0169-3913
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192238
dc.description.abstractEnViscous flow, effusion, and thermal transpiration are the main gas transport modalities for a rarefied gas in a macro-porous medium. They have been well quantified only in the case of simple geometries. This paper develops a model based on the homogenization of kinetic equations producing effective transport properties (permeability, Knudsen diffusivity, thermal transpiration ratio) in any porous medium sample, as described e. g. by a digitized 3D image. The homogenization procedure -- neglecting the effect of gas density gradients on heat transfer through the solid -- leads to macroscopic transfer relations, and to closure problems in R^6 for the obtention of effective properties. Coherence of the approach with previous literature on the subject is discussed. The asymptotic limits of the model (rarefied and continuum regimes) are also studied. One of the main results is that the effect of the geometry on thermal transpiration has to be described by a tensor which is distinct from the permeability and Knudsen diffusion tensors.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enKnudsen diffusion
dc.subject.enThermal transpiration
dc.subject.enKinetic equation
dc.subject.enHomogenization
dc.title.enRarefied Pure Gas Transport in Non-Isothermal Porous Media: Effective Transport properties from Homogenization of the Kinetic Equation
dc.typeArticle de revue
dc.identifier.doi10.1007/S11242-007-9167-7
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halChimie/Matériaux
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalTransport in Porous Media
bordeaux.page211-232
bordeaux.volume73
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00269369
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00269369v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Transport%20in%20Porous%20Media&rft.date=2007-10-11&rft.volume=73&rft.spage=211-232&rft.epage=211-232&rft.eissn=0169-3913&rft.issn=0169-3913&rft.au=VIGNOLES,%20G%C3%A9rard&CHARRIER,%20Pierre&PREUX,%20Christophe&DUBROCA,%20Bruno&rft.genre=article


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