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Rarefied Pure Gas Transport in Non-isothermal Porous Media: Validation and Tests of the Model

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]
hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine [CESTA]
dc.contributor.authorDUBROCA, Bruno
dc.date.accessioned2024-04-04T02:54:00Z
dc.date.available2024-04-04T02:54:00Z
dc.date.issued2008-04-08
dc.identifier.issn0169-3913
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192233
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 presents a numerical method based on the homogenization of kinetic equations producing effective transport properties (permeability, Knudsen diffusivity, thermal transpiration ratio) in any porous medium sample, as described by a digitized 3D image. The homogenization procedure -- neglecting the effect of gas density gradients on heat transfer through the solid -- leads to closure problems in R^6 for the obtention of effective properties ; they are then simplified using a Galerkin method based on a 21-element basis set. The kinetic equations are then discretized in R^3 space with a finite-volume scheme. The method is validated against experimental data in the case of a closed test tube. It shows to be coherent with past approaches of thermal transpiration. Then, it is applied to several 3D images of increasing complexity. Another validation is brought by comparison with other distinct numerical approaches for the evaluation of the Darcian permeability tensor and of the Knudsen diffusion tensor. Results show that thermal transpiration has to be described by an effective transport tensor which is distinct from the other tensors.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enKnudsen diffusion
dc.subject.enThermal transpiration
dc.subject.enKinetic equation
dc.subject.enHomogenization
dc.subject.enNumerical methods
dc.title.enRarefied Pure Gas Transport in Non-isothermal Porous Media: Validation and Tests of the Model
dc.typeArticle de revue
dc.identifier.doi10.1007/s11242-008-9223-y
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.page295-317
bordeaux.volume75
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00270403
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00270403v1
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