Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

• Verfasst von: Carraro, Thomas [VerfasserIn]
• Verfasst von: Goll, Christian [VerfasserIn]
• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Verfasst von: Mikelić, Andro [VerfasserIn]
• Titel: Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
• Verf.angabe: Thomas Carraro, Christian Goll, Anna Marciniak-Czochra, Andro Mikelić
• Umfang: 6 S.
• Fussnoten: Available online 13 November 2014 ; Gesehen am 08.08.2017
• Titel Quelle: Enthalten in: Computer methods in applied mechanics and engineering
• Jahr Quelle: 2015
• Band/Heft Quelle: 292(2015), S. 195-220
• DOI: doi:10.1016/j.cma.2014.10.050
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1561836117

Abstract

It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers-Joseph slip law. To the contrary, in the case of a forced infiltration of a viscous fluid into a porous medium the interface law has been a subject of controversy. In this paper, we prove rigorously that the effective interface conditions are: (i) the continuity of the normal effective velocities; (ii) zero Darcy’s pressure and (iii) a given slip velocity. The effective tangential slip velocity is calculated from the boundary layer and depends only on the pore geometry. In the next order of approximation, we derive a pressure slip law. An independent confirmation of the analytical results using direct numerical simulation of the flow at the microscopic level is given, as well.