Two-phase inertial flow in homogeneous porous media: A theoretical derivation of a macroscopic model
dc.contributor.author
hal.structure.identifier | LASSEUX, Didier
|
dc.contributor.author
hal.structure.identifier | AHMADI-SENICHAULT, Azita
|
dc.contributor.author
hal.structure.identifier | ABBASIAN ARANI, Ali Akbar
|
dc.date.accessioned | 2015 |
dc.date.available | 2015 |
dc.date.issued | 2008 |
dc.date.submitted | 2015 |
dc.identifier.issn | 0169-3913 |
dc.identifier.uri | http://hdl.handle.net/10985/9745 |
dc.description.abstract | The purpose of this article is to derive a macroscopic model for a certain class of inertial two-phase, incompressible, Newtonian fluid flow through homogenous porous media. Starting from the continuity and Navier–Stokes equations in each phase β and γ , the method of volume averaging is employed subjected to constraints that are explicitly provided to obtain the macroscopic mass and momentum balance equations. 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 resulting macroscopic momentum equation relates the phase-averaged pressure gradient ∇ pα α to the filtration or Darcy velocity vα in a coupled nonlinear form explicitly given by : (equations) In these equations, Fαα and Fακ are the inertial and coupling inertial correction tensors that are functions of flow-rates. The dominant and coupling permeability tensors K∗αα and K∗ακ and the permeability and viscous drag tensors Kα and Kακ are intrinsic and are those defined the conventional manner as in (Whitaker, Chem Eng Sci 49:765–780, 1994) and (Lasseux et al., Transport Porous Media 24(1):107–137, 1996). All these tensors can be determined from closure problems that are to be solved using a spatially periodic model of a porous medium. The practical procedure to compute these tensors is provided. |
dc.language.iso | en |
dc.publisher | Springer Verlag |
dc.rights | Post-print |
dc.subject | Homogeneous porous media |
dc.subject | Two-phase flow |
dc.subject | Inertial or non-Darcian flow |
dc.subject | Up-scaling |
dc.subject | Volume averaging |
dc.title | Two-phase inertial flow in homogeneous porous media: A theoretical derivation of a macroscopic model |
dc.identifier.doi | 10.1007/s11242-008-9231-y |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Bordeaux-Talence |
dc.subject.hal | Sciences de l'ingénieur: Mécanique: Mécanique des fluides |
ensam.audience | Internationale |
ensam.page | 371-400 |
ensam.journal | Transport in Porous Media |
ensam.volume | 75 |
ensam.issue | 3 |
hal.identifier | hal-01174658 |
hal.version | 1 |
hal.submission.permitted | updateFiles |
hal.status | accept |
dc.identifier.eissn | 1573-1634 |