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 hal.structure.identifier
ABBASIAN ARANI, Ali Akbar
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.author
 hal.structure.identifier
LASSEUX, Didier
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
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 hal.structure.identifier
AHMADI-SENICHAULT, Azita
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.date.accessioned2015
dc.date.available2015
dc.date.issued2009
dc.date.submitted2015
dc.identifier.urihttp://hdl.handle.net/10985/9981
dc.description.abstractThe purpose of this work is to propose a derivation of a macroscopic model for a certain class of inertial two-phase, incompressible, Newtonian fluid flow through homogenous porous media. The starting point of the procedure is the pore-scale boundary value problem given by the continuity and Navier–Stokes equations in each phase β and γ along with boundary conditions at interfaces. The method of volume averaging is employed subjected to a series of constraints for the development to hold. These constraints are on the length- and time-scales, as well as, on some quantities involving capillary, Weber and Reynolds numbers that define the class of two-phase flow under consideration. The development also assumes that fluctuations of the curvature of the fluid–fluid interfaces are unimportant over the unit cell representing the porous medium. Under these circumstances, the resulting macroscopic momentum equation, for the -phase (=, ) relates the gradient of the phase-averaged pressure to the filtration or Darcy velocity in a coupled nonlinear form. All tensors appearing in the macroscopic equation can be determined from closure problems that are to be solved using a spatially periodic model of a porous medium. Some indications to compute these tensors are provided.
dc.language.isoen
dc.rightsPre-print
dc.subjectPorous media
dc.subjectTwo-phase flow
dc.subjectInertial effects
dc.subjectUp-scaling
dc.titleDerivation of a macroscopic model for two-phase non-Darcy flow in homogeneous porous media using volume averaging
dc.typdocCommunication sans acte
dc.localisationCentre de Bordeaux-Talence
dc.subject.halSciences de l'ingénieur: Mécanique: Mécanique des fluides
ensam.conference.titleInternational Conf. on Challenges of Porous Media
ensam.conference.date2009-03-11
ensam.countryAllemagne
ensam.cityKaiserslautern
hal.identifierhal-01196725
hal.version1
hal.submission.permittedupdateMetadata
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