THE DAMPING OF CAPILLARY GRAVITY-WAVES AT A RIGID BOUNDARY
THE DAMPING OF CAPILLARY GRAVITY-WAVES AT A RIGID BOUNDARY
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DOI：
10.1017/s0022112087001514
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发表时间：
1987-06-01
影响因子：
3.7
通讯作者：
HOCKING, LM
中科院分区：
文献类型：
--
作者：
HOCKING, LM
有界区域内表面毛细重力波的频率和阻尼率取决于自由表面与边界接触的条件。极端的情况是当自由表面与边界垂直相交时，如纯重力波的情况，以及接触线在整个运动过程中保持固定。通过使自由表面在接触时的斜率与其速度成正比，给出了一个边缘条件，该条件在一定程度上模拟了与移动接触线相关的动力学，而不是接触角滞后。该模型考虑了两种极端情况，计算了两个平行垂直壁面间驻波的频率和阻尼率。考虑了边界层黏度对壁面的影响，表明与表面力相关的耗散可以超过黏度产生的耗散。这些结果与一些实验研究的结果进行了比较，在这些实验研究中，测量到的阻尼率太大而不能归因于粘性作用。
The frequency and damping rate of surface capillary-gravity waves in a bounded region depend on the conditions imposed where the free surface makes contact with the boundary. Extreme cases are when the free surface meets the boundary orthogonally, as in the case of pure gravity waves, and when the contact line remains fixed throughout the motion. An edge condition that models to some extent the dynamics associated with moving contact lines, but not contact-angle hysteresis, is given by making the slope of the free surface at contact proportional to its velocity. This model, which includes the two extreme cases, is used to obtain the frequency and damping rate of a standing wave between two parallel vertical walls. The effect of viscosity in the boundary layers on the walls is included and it is shown that the dissipation associated with the surface forces can exceed that produced by viscosity. The results are compared with those obtained from a number of experimental investigations, in which damping rates too large to be attributed to viscous action have been measured.