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Generation of small-scale structures in well-developed turbulence

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

The incompressible Navier-Stokes equations are considered in the limit of infinite Reynolds number. Flow instability is supposed to give rise to steady large-scale structures. The onset and development of small-scale turbulence is analyzed. It is shown that the developing small-scale fluctuations are characterized by intermittency. The highest intensity of vorticity fluctuations is attained in vortex filaments. The solution obtained is used to calculate the velocity pair correlation function in the limit of r → 0. The result agrees with the Kolmogorov law K(r) ∝ r 2/3.

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    K. P. Zybin, V. A. Sirota, A. S. Il’in & A. V. Gurevich

Authors
  1. K. P. Zybin
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  2. V. A. Sirota
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  3. A. S. Il’in
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  4. A. V. Gurevich
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Correspondence to K. P. Zybin.

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Original Russian Text © K.P. Zybin, V.A. Sirota, A.S. Il’in, A.V. Gurevich, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 2, pp. 510–523.

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Zybin, K.P., Sirota, V.A., Il’in, A.S. et al. Generation of small-scale structures in well-developed turbulence. J. Exp. Theor. Phys. 105, 455–466 (2007). https://doi.org/10.1134/S1063776107080171

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  • DOI: https://doi.org/10.1134/S1063776107080171

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