arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.10865physics.flu-dyn
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风驱动水流中表面条纹的产生和破裂

Generation and Breakdown of Surface Streaks in Wind-Driven Aqueous Flow

Asim Önder, Philip L. -F. Liu, Wu-ting Tsai

摘要:

本文用一个随时间发展的具有加速表面漂移速度的边界层模式分析了风应力驱动水流中的旁路转捩方案。模型的参数被选择为模仿波浪水槽实验,参考风速为5 m/s。为了研究孤立的边界层过程,采用了一个平坦的自由表面,它抑制了波浪的产生。首先,首选的初始扰动,其中边界层是最敏感的使用线性非正常增长理论。这些扰动被布置为位于自由表面附近的流向恒定涡对。随后,直接数值模拟初始化这些最佳扰动和流向条纹的产生。高速条纹渗透到更深的水层,并经历蜿蜒的不稳定性,让人想起在壁面有界流动中低速条纹上发展的不稳定性。条纹不稳定性引起的横向波动在自由表面,这非常类似的染料图案在风浪池实验波发病前。本分析提供了这些实验观察的理论背景。

英文摘要:

A bypass transition scenario in a wind-stress driven aqueous flow is analysed using a temporally developing boundary layer model with accelerating surface drift velocity. The parameters of the model are selected to mimic a wave-tank experiment with a reference wind speed of 5 m/s. To study the boundary layer processes in isolation, a flat free surface is adapted, which inhibits the initiation of waves. First, preferred initial perturbations to which the boundary layer is the most sensitive are identified using linear non-normal growth theory. These perturbations are arranged as streamwise-constant vortex pairs located adjacent to the free surface. Subsequently, direct numerical simulations are initialized with these optimal perturbations and streamwise streaks are generated. High-speed streaks penetrate into deeper water layers and undergo sinuous instabilities reminiscent of the instabilities developing on low-speed streaks in wall-bounded flows. Streak instabilities induce lateral undulations at the free surface, which closely resemble the dye patterns before the onset of waves in wind-wave-tank experiments. The present analysis provides a theoretical background for these experimental observations.

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