Richardson Pair Dispersion in Two-Dimensional Turbulence

Richardson Pair Dispersion in Two-Dimensional Turbulence
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DOI:
10.1103/physrevlett.82.2872
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发表时间:
1999-04
影响因子:
8.6
通讯作者:
Marie-Caroline Jullien;J. Paret;P. Tabeling
Marie-Caroline Jullien;J. Paret;P. Tabeling
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Marie-Caroline Jullien;J. Paret;P. Tabeling

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我们报告了第一个在受控二维湍流中进行的被动粒子对色散的实验研究,其中 Kolmogorov-Kraichnan 标度 $E(k)\ensuremath{\sim}{k}^{\ensuremath{-}5/3}$ 成立。遵守理查森 ${t}^{3}$ 定律,并且对于分离的拉格朗日分布获得了强烈的非高斯行为。该过程被证明是各向同性的,并且在时间上是自相似的。这些观察结果非常适合柯尔莫哥洛夫框架,但却危及了利维行走方法的相关性。
We report the first experimental study of the dispersion of pairs of passive particles, performed in a controlled two-dimensional turbulent flow, in which Kolmogorov-Kraichnan scaling $E(k)\ensuremath{\sim}{k}^{\ensuremath{-}5/3}$ holds. The Richardson ${t}^{3}$ law is observed, and strongly non-Gaussian behavior is obtained for the Lagrangian distributions of separations. The process is shown to be isotropic, and self-similar in time. The observations, which fit well in the Kolmogorov framework, jeopardize the relevance of the L\'evy walk approach.