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 hal.structure.identifier
CHAMPMARTIN, Stéphane
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.author
 hal.structure.identifier
AMBARI, Abdelhak
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.author
 hal.structure.identifier
CHHABRA, Raj P.
84417 Department of Chemistry [Kanpur] [IIT Kanpur]
dc.date.accessioned2014
dc.date.available2014
dc.date.issued2012
dc.date.submitted2014
dc.identifier.issn0034-6748
dc.identifier.urihttp://hdl.handle.net/10985/8482
dc.description.abstractIn this study, a theoretical framework is developed to predict the equilibrium conditions of a non-neutrally buoyant sphere placed in a vertical conical tube as encountered in liquid rotameters. The analysis presented herein is applicable for a sphere heavier than the surrounding fluid, situated on the axis of a slightly tapered tube. The sphere is subject to the laminar flow conditions with the Reynolds numbers ranging between the Stokes type regimes up to values corresponding to slightly inertial regimes. In this work, we assume that the aperture angle of the tube is small and that the drag force is mainly due to the dissipation located in the gap between the tube and the sphere. Under these conditions, it is possible to consider the tube as locally cylindrical and we can use the results previously obtained for the correction factor of the Stokes force on a sphere subject to a Poiseuille flow in a tube of constant cross-section. We obtain an equation relating the flow rate to the vertical position of the sphere in the tube and the validity of this analysis is demonstrated by applying it to a commercially available rotameter. The present study provides a simple but sound theoretical method to calibrate such flowmeters.
dc.language.isoen_US
dc.publisherAmerican Institute of Physics
dc.rightsPost-print
dc.subjectPoiseuille flow
dc.subjectReynolds stress modeling
dc.subjectCalibration
dc.subjectStokes flows
dc.subjectFlow rate measurement
dc.titleLevitating spherical particle in a slightly tapered tube at low Reynolds numbers: Application to the low-flow rate rotameters
dc.identifier.doi10.1063/1.4769053
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Angers
dc.subject.halSciences de l'ingénieur: Mécanique: Mécanique des fluides
ensam.audienceInternationale
ensam.page125103.1-125103.7
ensam.journalReview of Scientific Instruments
ensam.volume83
ensam.issue12
hal.identifierhal-01061933
hal.version1
hal.statusaccept
dc.identifier.eissn1089-7623


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