Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
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 r...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2015
|
| In: |
Computer methods in applied mechanics and engineering
Year: 2015, Volume: 292, Pages: 195-220 |
| ISSN: | 1879-2138 |
| DOI: | 10.1016/j.cma.2014.10.050 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.cma.2014.10.050 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0045782514004204 
|
| Author Notes: | Thomas Carraro, Christian Goll, Anna Marciniak-Czochra, Andro Mikelić |
| Summary: | 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. |
|---|---|
| Item Description: | Available online 13 November 2014 Gesehen am 08.08.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1879-2138 |
| DOI: | 10.1016/j.cma.2014.10.050 |