Asymptotic analysis of the laminar viscous flow over a porous bed
We consider the laminar viscous channel flow over a porous surface. The size of the pores is much smaller than the size of the channel, and it is important to determine the effective boundary conditions at the porous surface. We study the corresponding boundary layers, and, by a rigorous asymptotic...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
March 20, 2001
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| In: |
SIAM journal on scientific computing
Year: 2001, Volume: 22, Issue: 6, Pages: 2006-2028 |
| ISSN: | 1095-7197 |
| DOI: | 10.1137/S1064827599360339 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1137/S1064827599360339 Verlag, Volltext: https://epubs.siam.org/doi/abs/10.1137/S1064827599360339 
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| Author Notes: | Willi Jäger, Andro Mikelic, and Nicolas Neuss |
| Summary: | We consider the laminar viscous channel flow over a porous surface. The size of the pores is much smaller than the size of the channel, and it is important to determine the effective boundary conditions at the porous surface. We study the corresponding boundary layers, and, by a rigorous asymptotic expansion, we obtain Saffman’s modification of the interface condition observed by Beavers and Joseph. |
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| Item Description: | Published online: 25 July 2006 Gesehen am 28.08.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1095-7197 |
| DOI: | 10.1137/S1064827599360339 |