The effects of hydraulic resistance in the dam-break problem
The effects of hydraulic resistance in the dam-break problem
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DOI：
10.1098/rspa.1955.0019
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发表时间：
1955-01
期刊：
影响因子：
--
通讯作者：
G. Whitham
中科院分区：
文献类型：
--
作者：
G. Whitham
当忽略阻力时，简单溃坝问题的解很容易根据浅水理论得到，其结果是众所周知的。然而，在波的头部附近，即水面与地面接触的地方，阻力效应不能被忽略;事实上，在波阵面附近存在一种边界层。在本文中，Pohlhausen方法（这是用于传统的边界层问题）适用于这种“边界层”的效果的研究。特别是，延迟的波前后面的位置预测的简单理论被发现。
When resistance is neglected, the solution of the simple dam-break problem is readily obtained on the basis of shallow-water theory, and the results are well known. However, near the head of the wave, where the water surface meets the ground, resistance effects cannot be neglected; there is, in fact, a type of boundary layer near the wave-front. In this paper, the Pohlhausen method (which is used in conventional boundary-layer problems) is applied to a study of the effect of this ‘boundary layer’. In particular, the retardation of the wave-front behind the position predicted by the simple theory is found.