论文标题
分层流体中内波湍流过渡的实验观察结果
Experimental observations of internal wave turbulence transition in a stratified fluid
论文作者
论文摘要
应用于内部波的弱湍流理论的最新发展表现出接近海洋Garrett \&munk光谱的动能方程的幂律解决方案,这证实了弱非线性波相互作用,可能是对观察到的海洋光谱的解释。但是,有限大小的效应可能会阻碍有界域中的波浪相互作用,并且观察结果通常与理论预测不同。本文研究了五角大楼域内内部重力波强迫的分层流体中实验发展的动力学机制。我们发现,通过更改形状并增加域的尺寸,有限尺寸的效果会降低和波湍流。在这个制度中,颞谱衰减与坡度与Garrett-Munk Spectra兼容。通过改变强迫条件,即波动湍流,弱波湍流和强烈分层的湍流来出现不同的机制。浮力雷诺数$ re_b $很好地标志着政权之间的过渡,波浪湍流的发生为$ 1 \ Lessim re_b \ Lessim 3.5 $ 3.5 $,并且对于更高的$ re_b $而言,强烈的非线性分层湍流。
Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely explanation of the observed oceanic spectra. However, finite-size effects can hinder wave interactions in bounded domains, and observations often differ from theoretical predictions. This article studies the dynamical regimes experimentally developing in a stratified fluid forced by internal gravity waves in a pentagonal domain. We find that by changing the shape and increasing the dimensions of the domain, finite-size effects diminish and wave turbulence is observed. In this regime, the temporal spectra decay with a slope compatible with the Garrett-Munk spectra. Different regimes appear by changing the forcing conditions, namely discrete wave turbulence, weak wave turbulence, and strongly stratified turbulence. The buoyancy Reynolds number $Re_b$ marks well the transitions between the regimes, with weak wave turbulence occurring for $1\lesssim Re_b\lesssim 3.5$ and strongly non-linear stratified turbulence for higher $Re_b$.