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Differential integral equation for the spectrum of isotropic homogeneous turbulence

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Zeitschrift für Physik

Abstract

The double and triple velocity correlations for isotropic homogeneous turbulence are constructed and used in v. Kármán-Howarth differential equation for isotropic correlations; it is reduced to a differential integral equation for the spectrum of turbulence; it contains only one dependent function (5.2).

The equation of energy, which follows from the above equation, can be reduced toHeisenberg's type of equation for the spectrum of turbulence (5.6).

Eddies of the same order of magnitudeinteract; they partly generate partly destroy votricity.

Small eddies (large wave numbersk)act on large eddies by mainly destroying them.

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Authors and Affiliations

  1. Mathematics Department, Royal College of Science Exhibition Road, London

    D. Meksyn

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  1. D. Meksyn
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I wish to thank SirGeoffray Taylor, F. R. S. for stimulating discussions.

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Meksyn, D. Differential integral equation for the spectrum of isotropic homogeneous turbulence. Z. Physik 174, 301–313 (1963). https://doi.org/10.1007/BF01378604

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  • DOI: https://doi.org/10.1007/BF01378604

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