dorsal/arxiv
View SchemaGeneration of small-scale structures in the developed turbulence
| Authors | K. P. Zybin, V. A. Sirota, A. S. Ilyin, A. V. Gurevich |
|---|---|
| Categories | |
| ArXiv ID | physics/0612131 |
| URL | https://arxiv.org/abs/physics/0612131 |
| DOI | 10.1134/S1063776107080171 |
Abstract
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 $r^{2/3}$.
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"date_created": "2026-03-02T18:01:14.012000Z",
"date_modified": "2026-03-02T18:01:14.012000Z",
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"abstract": "The Navier-Stokes equation for incompressible liquid is considered in the\nlimit of infinitely large Reynolds number. It is assumed that the flow\ninstability leads to generation of steady-state large-scale pulsations. The\nexcitation and evolution of the small-scale turbulence is investigated. It is\nshown that the developed small-scale pulsations are intermittent. The maximal\namplitude of the vorticity fluctuations is reached along the vortex filaments.\nBasing on the obtained solution, the pair correlation function in the limit\n$r\\to 0$ is calculated. It is shown that the function obeys the Kolmogorov law\n$r^{2/3}$.",
"arxiv_id": "physics/0612131",
"authors": [
"K. P. Zybin",
"V. A. Sirota",
"A. S. Ilyin",
"A. V. Gurevich"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1134/S1063776107080171",
"title": "Generation of small-scale structures in the developed turbulence",
"url": "https://arxiv.org/abs/physics/0612131"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-03-01",
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