On the interface boundary condition of Beavers, Joseph, and Saffman
We consider the laminar viscous channel flow over a porous surface. It is supposed, as in the experiment by Beavers and Joseph, that a uniform pressure gradient is maintained in the longitudinal direction in both the channel and the porous medium. After studying the corresponding boundary layers, we...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
March 23, 2000
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| In: |
SIAM journal on applied mathematics
Year: 2000, Volume: 60, Issue: 4, Pages: 1111-1127 |
| ISSN: | 1095-712X |
| DOI: | 10.1137/S003613999833678X |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1137/S003613999833678X Verlag, Volltext: https://epubs.siam.org/doi/abs/10.1137/S003613999833678X 
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| Author Notes: | Willi Jäger and Andro Mikelić |
| Summary: | We consider the laminar viscous channel flow over a porous surface. It is supposed, as in the experiment by Beavers and Joseph, that a uniform pressure gradient is maintained in the longitudinal direction in both the channel and the porous medium. After studying the corresponding boundary layers, we obtain rigorously Saffman's modification of the interface condition observed by Beavers and Joseph. It is valid when the pore size of the porous medium tends to zero. Furthermore, the coefficient in the law is determined through an auxiliary boundary-layer type problem. |
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| Item Description: | Gesehen am 28.08.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1095-712X |
| DOI: | 10.1137/S003613999833678X |