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Upscaling Reactive Transport Under Hydrodynamic Slip Conditions in Homogeneous Porous Media

dc.contributor.authorVALDÉS-PARADA, Francisco
dc.contributor.authorLASSEUX, Didier
IDREF: 131294474
dc.contributor.authorWHITAKER, Stephen
dc.date.accessioned2021-05-14T09:30:55Z
dc.date.available2021-05-14T09:30:55Z
dc.date.issued2020-01
dc.identifier.issn0043-1397
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/75850
dc.description.abstractEnReactive transport of a dilute species in a Newtonian fluid saturating a homogeneous porous medium for slip flow is analyzed in this work. Incompressible Newtonian flow with a first-order (Navier) slip boundary condition is considered together with a first-order heterogeneous reaction. Kinetic numbers range up to unity while Knudsen numbers, characteristic of slip-flow, are smaller than approximately 0.1. The pore-scale problem is upscaled, using the volume averaging method, to obtain a macroscopic transport equation (referred to as the complete upscaled model) operating at the Darcy scale. Using order of magnitude estimates and an expansion in terms of the Kinetic number, simplifications in the expressions of the effective coefficients are explored. The conditions under which the effective convective velocity and the total dispersion tensor are independent of reaction are derived. Under such conditions, a simplified version of the macroscopic transport equation is obtained. This is referred to as the simplified model. Numerical results for a simple structure indicate that the longitudinal dispersion coefficient decreases with decreasing Knudsen number, while the opposite holds for the transverse component of the total dispersion tensor, the effective convective velocity, and the effective reaction rate coefficient. These effects are more evident when the Péclet number increases (i.e., in the convective-favored regime) and when slip effects are more pronounced. Results predicted by the simplified and the complete versions of the upscaled model are validated with direct numerical simulations of the pore-scale problem on a two-dimensional model structure.
dc.language.isoen
dc.publisherAmerican Geophysical Union
dc.title.enUpscaling Reactive Transport Under Hydrodynamic Slip Conditions in Homogeneous Porous Media
dc.typeArticle de revue
dc.identifier.doi10.1029/2019WR025954
dc.subject.halSciences de l'ingénieur [physics]
dc.subject.halSciences de l'ingénieur [physics]/Milieux fluides et réactifs
dc.subject.halSciences de l'ingénieur [physics]/Génie des procédés
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]
dc.subject.halSciences de l'environnement
dc.subject.halPlanète et Univers [physics]
dc.subject.halChimie/Génie chimique
bordeaux.journalWater Resources Research
bordeaux.volume56
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-03151320
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03151320v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Water%20Resources%20Research&rft.date=2020-01&rft.volume=56&rft.issue=1&rft.eissn=0043-1397&rft.issn=0043-1397&rft.au=VALD%C3%89S-PARADA,%20Francisco&LASSEUX,%20Didier&WHITAKER,%20Stephen&rft.genre=article


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