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Enhanced Energy Dissipation by Parasitic Capillaries on Short Gravity-Capillary Waves

机译:短重力毛细管波上的寄生毛细管增强了能量耗散

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摘要

The increased energy dissipation caused by the formation of parasitic capillary wavelets on moderately short, steep gravity-capillary waves is studied numerically. This study focuses on understanding the mechanism leading to dissipation enhancement and on exploring the possible correlation between the enhanced dissipation rate and the characteristic parameters of the parasitic capillaries. The interaction between the parasitic capillary wave train and the underlying dominant flow of the carrier wave induces strong vortex shedding and imposes large straining immediately underneath the troughs of the capillary ripples. These localized strains are very effective in dissipating energy of the carrier gravity-capillary wave. The attenuation rate of the carrier wave can increase by more than one order of magnitude in the presence of capillary wavelets. Systematic simulations for various carrier wavelengths and steepnesses reveal that the enhanced dissipation rate can be quantified well by a simple parameter: the average of all the difference between the local maximum and minimum slopes along the entire carrier wave surface, which is equivalent to the mean slope of the parasitic capillary wave train. The enhanced dissipation rate increases approximately linearly with the carrier gravity-capillary wavenumber for a given mean slope of the capillary wave train. The increased energy dissipation caused by the formation of parasitic capillaries is also found to significantly impact on the characteristics of three-dimensional instabilities of finite-amplitude, uniform gravity-capillary waves.
机译:数值研究了在中等短的陡峭重力毛细管波上形成寄生毛细管小波导致的能量耗散增加。这项研究的重点是了解导致耗散增强的机制,并探讨提高的耗散率与寄生毛细管的特征参数之间可能的相关性。寄生毛细管波列与潜在的载波主流之间的相互作用会引起强烈的涡旋脱落,并在毛细管波纹的波谷下方立即施加较大的应变。这些局部应变在耗散载流子重力毛细管波的能量方面非常有效。在存在毛细管小波的情况下,载波的衰减率可以增加一个数量级以上。对各种载波波长和陡度的系统仿真表明,可以通过一个简单的参数很好地量化增强的耗散率:一个简单的参数:沿着整个载波表面的局部最大和最小斜率之间的所有差的平均值,即平均斜率的寄生毛细管波列。对于给定的毛细管波列平均斜率,提高的耗散率随载流子重力-毛细管波数近似线性增加。还发现由寄生毛细管的形成引起的能量耗散的增加对有限振幅,均匀重力毛细管波的三维不稳定性的特征有显着影响。

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  • 来源
    《Journal of Physical Oceanography》 |2010年第11期|p.2435-2450|共16页
  • 作者

    Wu-ting Tsai; Li-ping Hung;

  • 作者单位

    Graduate Institute of Hydrological and Oceanic Sciences, National Central Univer-sity, Taoyuan 32001, Taiwan;

    Graduate Institute of Hydrological and Oceanic Sciences, National Central University,Taoyuan, Taiwan;

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