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arXiv physics/0612131physics.flu-dyn
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在已开发的turbulence中生成小尺度结构

Generation of small-scale structures in the developed turbulence

K. P. Zybin, V. A. Sirota, A. S. Ilyin, A. V. Gurevich

摘要:

在无限大雷诺数的极限下,考虑了不可压缩液体的纳维-斯托克斯方程。假设流动不稳定性导致稳态大尺度脉动的产生。研究了小尺度湍流的激发和演化。结果表明,小尺度脉动的发展是间歇性的。涡度波动的最大振幅沿涡丝方向达到。在此基础上,计算了在极限$r\to 0$范围内的对关联函数.证明了该函数服从Kolmogorov定律$r^{2/3}$。

英文摘要:

The Navier-Stokes equation for incompressible liquid is considered in the limit of infinitely large Reynolds number. It is assumed that the flow instability leads to generation of steady-state large-scale pulsations. The excitation and evolution of the small-scale turbulence is investigated. It is shown that the developed small-scale pulsations are intermittent. The maximal amplitude of the vorticity fluctuations is reached along the vortex filaments. Basing on the obtained solution, the pair correlation function in the limit $r\to 0$ is calculated. It is shown that the function obeys the Kolmogorov law $r^{2/3}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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