The damping of surface gravity waves in a bounded liquid
The damping of surface gravity waves in a bounded liquid
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有界液体中表面重力波的阻尼
DOI：
10.1017/s0022112073001540
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发表时间：
1973
影响因子：
3.7
通讯作者：
L. F. Liu
中科院分区：
文献类型：
--
作者：
C. Mei;L. F. Liu
在推导侧壁限制的表面波的粘性阻尼率时，乌塞尔在一个例子中发现，两种不同的计算，一种是通过内部的能量耗散，另一种是通过作用在侧壁边界层边缘的压力，给出了不同的答案。这种差异也出现在其他示例中，并且在这里通过检查自由表面弯月面附近的能量转移来解决。在弯液面附近适当小心的情况下，采用边界层庞加莱方法来给出衰减率的替代推导，并另外获得由于粘度引起的频率（或波数）偏移。不考虑表面张力。
In deducing the viscous damping rate in surface waves confined by side walls, Ursell found in an example that two different calculations, one by energy dissipation within and the other by pressure working on the edge of the side-wall boundary layers, gave different answers. This discrepancy occurs in other examples also and is resolved here by examining the energy transfer in the neighbourhood of the free-surface meniscus. With due care near the meniscus a boundary-layer–Poincaré method is employed to give an alternative derivation for the rate of attenuation and to obtain in addition the frequency (or wave-number) shift due to viscosity. Surface tension is not considered.