Water-wave instability induced by a drift layer
Water-wave instability induced by a drift layer
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漂移层引起的水波不稳定性
DOI：
10.1017/s0022112091001064
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发表时间：
1991
影响因子：
3.7
通讯作者：
P. Saffman
中科院分区：
文献类型：
--
作者：
E. Caponi;H. Yuen;F. Milinazzo;P. Saffman
本文用Stern&Adam(1973)首先导出的分段常涡度模型的三次方程，重新研究了一个由切变流动引起的简单水波不稳定性。计算了失稳判据和增长率。研究发现，只有当表面漂移速度超过毛细重力波的最小波速，并且漂移层厚度位于与波长和漂移速度有关的频带内时，这种机制才是有效的。
A simple water-wave instability induced by a shear flow is re-examined, using a cubic equation first derived by Stern & Adam (1973) for a piecewise constant vorticity model. The instability criteria and the growth rate are computed. It is found that this mechanism is effective only if the surface drift velocity exceeds the minimum wave speed for capillary–gravity waves, and only if the drift-layer thickness lies within a band which depends on the wavelength and the drift velocity.