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Conception of Chaotic Distortion of Coherent Structures for Interpreting Turbulence: 1. Influence of Disordered Perturbations

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Abstract

The equations of multimoment hydrodynamics are used to numerically simulate the chaotic distortion of regular regimes in the problem of the flow around an immovable rigid spherical body. The influence of disordered perturbations arising in a medium due to external stimuli is investigated. After crossing the critical value of the Reynolds number, the steady-state solution of the equations of multimoment hydrodynamics loses stability. Each deviation from the steady-state solution that has lost stability begins to behave in a purely individual way over time. A certain average solution suitable for the interpretation of all initially close unstable solutions ceases to exist. The Gibbs ensemble falls apart. The loss of stability is accompanied by a qualitative change in the behavior of disordered perturbations. Independence in their behavior disappears. Conservation laws make disordered perturbations to adjust their behavior in time and space to the behavior of hydrodynamic values.

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Authors and Affiliations

  1. Zhukovskii Central Aerohydrodynamic Institute, 140181, Zhukovskii, Russia

    A. Ph. Kiselev

  2. Institute of Applied Mechanics, Russian Academy of Sciences, 125040, Moscow, Russia

    I. V. Lebed

Authors
  1. A. Ph. Kiselev
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  2. I. V. Lebed
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Correspondence to I. V. Lebed.

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Translated by O. Kadkin

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Kiselev, A.P., Lebed, I.V. Conception of Chaotic Distortion of Coherent Structures for Interpreting Turbulence: 1. Influence of Disordered Perturbations. Russ. J. Phys. Chem. B 15, 189–198 (2021). https://doi.org/10.1134/S199079312101005X

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