Abstract

This work is devoted to a theoretical study of the hydrodynamic instability of the water–air interface. The development of this instability may result in “bag-breakup” fragmentation, which is one of the main sources of droplets in hurricane winds. A hypothesis according to which the initial water surface elevations subjected to fragmentation are formed by the hydrodynamic instability of disturbances of the wind drift current in the water is proposed. The weakly nonlinear stage of instability in the form of a resonant three-wave interaction is considered. It is found that the nonlinear resonant interaction of a triad of wind drift perturbations, one wave of which is directed along the flow and two other waves are directed at an angle to the flow, leads to an explosive increase in amplitudes. As part of the piecewise continuous model of the drift current profile, the characteristic time and spatial scales of disturbances are found and it is shown that their characteristic dependences on the air friction velocity agree with previously obtained experimental data.

中文翻译：

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强风中喷雾产生初期三个表面波的爆炸相互作用的作用

摘要

这项工作致力于对水-空气界面的水动力不稳定性进行理论研究。这种不稳定性的发展可能导致“袋子破裂”碎裂，这是飓风中飞沫的主要来源之一。提出了一种假说，根据该假说，水中的风漂流扰动的水动力不稳定性形成了遭受破碎的初始水面高度。考虑了共振三波相互作用形式的不稳定的弱非线性阶段。已经发现，三重风漂移扰动的非线性共振相互作用导致了振幅的爆炸性增长，其中一个波动沿水流方向导引，而另外两个波动与水流成角度地导引。