On the interface boundary condition of Beavers, Joseph, and Saffman
On the interface boundary condition of Beavers, Joseph, and Saffman
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DOI：
10.1137/s003613999833678x
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发表时间：
2000-03-25
影响因子：
1.9
通讯作者：
Mikelic, A
中科院分区：
文献类型：
--
作者：
Jäger, W;Mikelic, A
本文考虑多孔表面上的层流粘性通道流。正如比弗斯和约瑟夫的实验一样，假设在通道和多孔介质中沿纵向保持均匀的压力梯度。在研究了相应的边界层后，我们严格地得到了Saffman对Beavers和Joseph观察到的界面条件的修正。当多孔介质的孔隙尺寸趋于零时，它是有效的。此外，在法律的系数是通过一个辅助的边界层型问题。
We consider the laminar viscous channel ow 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.