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Simplified description of small-scale turbulence

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Abstract

A simplified description of small-scale anisotropic turbulence is developed in the form of a set of three integrodifferential equations in one-dimensional momentum space or in the form of a set of three partial differential equations in a modified one-dimensional physical space. In the first case, the unknown functions are three coefficients in the Taylor expansion of an unstable polarization Fourier harmonic of the pulsating component of the velocity near the most unstable direction, the independent variables being time and the absolute value of the wave vector.

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Authors and Affiliations

  1. St. Petersburg State University of Engineering and Economics, St. Petersburg, 197002, Russia

    A. M. Balonishnikov

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  1. A. M. Balonishnikov
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 11, 2003, pp. 47–52.

Original Russian Text Copyright © 2003 by Balonishnikov.

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Balonishnikov, A.M. Simplified description of small-scale turbulence. Tech. Phys. 48, 1407–1412 (2003). https://doi.org/10.1134/1.1626771

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  • DOI: https://doi.org/10.1134/1.1626771

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