Abstract
We investigate the boundary condition between a free fluid and a porous medium, where the interface between the two is given as a periodically curved structure. Using a coordinate transformation, we can employ methods of periodic homogenisation to derive effective boundary conditions for the transformed system. In the porous medium, the fluid velocity is given by Darcy's law with a non-constant permeability matrix. In tangential direction as well as for the pressure, a jump appears. Its magnitudes can be calculated with the help of a generalised boundary layer function. The results can be interpreted as a generalised law of Beavers and Joseph for curved interfaces.
| Translated title of the contribution | Sur les conditions aux limites entre l'équation de Stokes et de Darcy pour une interface courbée |
|---|---|
| Original language | English |
| Journal | Comptes Rendus Mécanique |
| Volume | 342 |
| Issue number | 2 |
| Pages (from-to) | 73-78 |
| Number of pages | 6 |
| ISSN | 1631-0721 |
| DOIs | |
| Publication status | Published - 2014 |
Keywords
- Fluid mechanics
- Homogenisation
- Interfacial exchange
- Porous media