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Influence of Spontaneous Fluctuations on the Emergence and Development of Turbulence: 1. Calculation of the Contribution of Spontaneous Fluctuations

  • DYNAMICS OF TRANSPORTATION PROCESSES
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Abstract

The equations of multimoment hydrodynamics are used to study the process of distortion of regular flow modes in the problem of the flow around a sphere at rest. The influence on these distortions of spontaneous fluctuations, which are constantly present in the medium, regardless of the external effect, is investigated. After crossing the critical value of the Reynolds number, the stationary solution of the equations of multimoment hydrodynamics loses its stability. The loss of stability is accompanied by a qualitative change in the behavior of spontaneous fluctuations. Independence in their behavior disappears. The conservation laws force spontaneous fluctuations to adjust their behavior in time and space to the behavior of hydrodynamic values. In the absence of disordered perturbations, the fulfillment of conservation laws in a system that has lost stability is ensured by spontaneous fluctuations.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, Russia

    I. V. Lebed

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  1. I. V. Lebed
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Lebed, I.V. Influence of Spontaneous Fluctuations on the Emergence and Development of Turbulence: 1. Calculation of the Contribution of Spontaneous Fluctuations. Russ. J. Phys. Chem. B 16, 197–206 (2022). https://doi.org/10.1134/S1990793122010092

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  • DOI: https://doi.org/10.1134/S1990793122010092

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