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dc.rights.licenseopenen_US
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorMACKAYA, Terence Emery
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorAHMADI-SENICHAULT, Azita
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorOMARI, Abdelaziz
hal.structure.identifierMechanics surfaces and materials processing [MSMP]
dc.contributor.authorRODRÍGUEZ DE CASTRO, Antonio
dc.date.accessioned2021-09-03T11:04:11Z
dc.date.available2021-09-03T11:04:11Z
dc.date.issued2021-01-01
dc.identifier.issn0169-3913en_US
dc.identifier.urioai:crossref.org:10.1007/s11242-020-01531-9
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/112059
dc.description.abstractEnThe aim of the present work is to investigate the flow rate/pressure gradient relationship for the flow of yield stress fluids through rectilinear capillaries of non-circular cross-sections. These capillaries very often serve as basic elements in the modeling of porous media as bundles of capillaries or pore-network models. Based on the notions of shape coefficient and critical Bingham number, empirical flow rate/pressure gradient relationships have been proposed for both Bingham and Herschel–Bulkley fluids. The reliability of these relationships has been assessed by performing numerical simulations with the open-source Computational Fluid Dynamics (CFD) package OpenFOAM. For the considered cross-sectional shapes (equilateral triangle and square), and for a wide range of Bingham numbers, the predictions of the proposed empirical relationships have shown to be in very good agreement with the results of the current numerical simulations, as well as with previous results from the literature. An interesting feature of the proposed empirical relationships is the possibility to easily predict the total flow rate under a given imposed pressure gradient in a bundle of non-circular capillaries having any random distribution of inscribed circle radii. Furthermore, in the context of the yield stress fluid porosimetry method (YSM), experimental data may now be processed based upon bundles of capillaries with non-circular cross-sections.
dc.language.isoENen_US
dc.sourcecrossref
dc.subject.enYield stress fluids
dc.subject.enPore-size distribution
dc.subject.enNon-circular cross-sections
dc.subject.enShape coefficient
dc.subject.enCritical Bingham number
dc.title.enEmpirical Flow Rate/Pressure Drop Relationships for Capillaries of Triangular and Rectangular Cross-Sections to be Used in Yield Stress Fluid Porosimetry
dc.typeArticle de revueen_US
dc.identifier.doi10.1007/s11242-020-01531-9en_US
dc.subject.halSciences de l'ingénieur [physics]/Matériaux
bordeaux.journalTransport in Porous Mediaen_US
bordeaux.page587–605en_US
bordeaux.volume136en_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-03307476
hal.exportfalse
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=Transport%20in%20Porous%20Media&rft.date=2021-01-01&rft.volume=136&rft.spage=587%E2%80%93605&rft.epage=587%E2%80%93605&rft.eissn=0169-3913&rft.issn=0169-3913&rft.au=MACKAYA,%20Terence%20Emery&AHMADI-SENICHAULT,%20Azita&OMARI,%20Abdelaziz&RODR%C3%8DGUEZ%20DE%20CASTRO,%20Antonio&rft.genre=article


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