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dc.rights.licenseopenen_US
dc.contributor.authorVALDÉS-PARADA, Francisco J.
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorLASSEUX, Didier
IDREF: 131294474
dc.date.accessioned2021-12-21T10:16:06Z
dc.date.available2021-12-21T10:16:06Z
dc.date.issued2021-07-30
dc.identifier.urioai:crossref.org:10.3389/frwa.2021.666279
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/124283
dc.description.abstractEnIn this work, a macroscopic model for incompressible and Newtonian gas flow coupled to Fickian and advective transport of a passive solute in rigid and homogeneous porous media is derived. At the pore-scale, both momentum and mass transport phenomena are coupled, not only by the convective mechanism in the mass transport equation, but also in the solid-fluid interfacial boundary condition. This boundary condition is a generalization of the Kramers-Kistemaker slip condition that includes the Knudsen effects. The resulting upscaled model, applicable in the bulk of the porous medium, corresponds to: 1) A Darcy-type model that involves an apparent permeability tensor, complemented by a dispersive term and 2) A macroscopic convection-dispersion equation for the solute, in which both the macroscopic velocity and the total dispersion tensor are influenced by the slip effects taking place at the pore-scale. The use of the model is restricted by the starting assumptions imposed in the governing equations at the pore scale and by the (spatial and temporal) constraints involved in the upscaling process. The different regimes of application of the model, in terms of the Péclet number values, are discussed as well as its extents and limitations. This new model generalizes previous attempts that only include either Knudsen or diffusive slip effects in porous media.
dc.language.isoENen_US
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.sourcecrossref
dc.subject.enDarcy's law
dc.subject.endiffusive slip
dc.subject.endispersion in porous media
dc.subject.enKnudsen slip
dc.subject.envolume averaging
dc.title.enMacroscopic Model for Passive Mass Dispersion in Porous Media Including Knudsen and Diffusive Slip Effects
dc.typeArticle de revueen_US
dc.identifier.doi10.3389/frwa.2021.666279en_US
dc.subject.halSciences de l'ingénieur [physics]/Matériauxen_US
bordeaux.journalFrontiers in Wateren_US
bordeaux.page666279en_US
bordeaux.volume3en_US
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.institutionINRAEen_US
bordeaux.institutionArts et Métiersen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
bordeaux.import.sourcedissemin
hal.identifierhal-03309031
hal.version1
hal.exporttrue
workflow.import.sourcedissemin
dc.rights.ccPas de Licence CCen_US
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Frontiers%20in%20Water&rft.date=2021-07-30&rft.volume=3&rft.spage=666279&rft.epage=666279&rft.au=VALD%C3%89S-PARADA,%20Francisco%20J.&LASSEUX,%20Didier&rft.genre=article


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