The drift velocity of water waves
The drift velocity of water waves
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水波的漂移速度
DOI：
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发表时间：
1982
影响因子：
3.7
通讯作者：
A. Craik
中科院分区：
文献类型：
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作者：
A. Craik
Longuet-Higgins（1953）首先认识到粘性在产生小振幅水波的二阶欧拉漂移流中的重要作用。首先回顾了理论和实验背景。然后表明，与以前的信念，表面污染的存在下，必须大大提高短波的漂移速度。然后，我们解决了与时间衰减波相关的漂移流的初值问题，从而解决了Liu & Davis（1977）的工作所提出的问题，其解表现出异常奇异性。其次，空间衰减波的稳定漂移速度的计算和证明承担一个非常相似的Longuet-Higgins的“传导解决方案”的未衰减波。最后，我们确定了表面波和界面波的单向漂移流对展向周期扰动肯定是不稳定的，其不稳定机制与Craik（1977）首次提出的以及Leibovich & Paolucci（1981）最近提出的解释朗缪尔环流产生的机制相同。
The important role of viscosity in producing second-order Eulerian drift currents in the presence of small-amplitude water waves was first recognized by Longuet-Higgins (1953). The theoretical and experimental background is first reviewed. It is then shown that, contrary to previous belief, the presence of surface contamination must greatly enhance the drift velocity of short waves. We then solve an initial-value problem for the drift current associated with temporally decaying waves, thereby resolving questions raised by the work of Liu & Davis (1977), whose solution exhibits anomalous singularities. Next, the steady drift velocity of spatially decaying waves is calculated and shown to bear a close resemblance to Longuet-Higgins’ ‘conduction solution’ for unattenuated waves. Finally, we establish that unidirectional drift currents of both surface and inter-facial waves are sure to be unstable to spanwise-periodic disturbances; the instability mechanism being identical to that first proposed by Craik (1977), and recently developed by Leibovich & Paolucci (1981), to explain the generation of Langmuir circulations.