Rarefied Pure Gas Transport in Non-Isothermal Porous Media: Effective Transport properties from Homogenization of the Kinetic Equation
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | VIGNOLES, Gérard | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHARRIER, Pierre | |
| hal.structure.identifier | IFP Energies nouvelles [IFPEN] | |
| dc.contributor.author | PREUX, Christophe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUBROCA, Bruno | |
| dc.date.accessioned | 2024-04-04T02:54:02Z | |
| dc.date.available | 2024-04-04T02:54:02Z | |
| dc.date.issued | 2007-10-11 | |
| dc.identifier.issn | 0169-3913 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192238 | |
| dc.description.abstractEn | Viscous 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Knudsen diffusion | |
| dc.subject.en | Thermal transpiration | |
| dc.subject.en | Kinetic equation | |
| dc.subject.en | Homogenization | |
| dc.title.en | Rarefied Pure Gas Transport in Non-Isothermal Porous Media: Effective Transport properties from Homogenization of the Kinetic Equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/S11242-007-9167-7 | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Chimie/Matériaux | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Transport in Porous Media | |
| bordeaux.page | 211-232 | |
| bordeaux.volume | 73 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00269369 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00269369v1 | |
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