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The Mutual Influence of the Turbulence Coefficient and Reynolds Number on the Formation of a Turbulent Process: 2. Existing Scenarios for the Occurrence and Development of Turbulence

  • DYNAMICS OF TRANSPORT PROCESSES
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Abstract

Some characteristic features of three scenarios for the occurrence and development of turbulence are presented: the Landau–Hopf scenario, the scenario of transition to turbulence on a strange attractor, and the scenario followed by the solutions of the multimoment hydrodynamics equations. The analysis of the presented characteristic features allows us to draw a conclusion about the possibility of using these scenarios for the interpretation of turbulence. It is shown that only one of the scenarios satisfactorily interprets the experimental data: the scenario followed by the solutions of the multimoment hydrodynamics equations supplemented with stochastic components. The Landau–Hopf scenario leads to a system that has lost stability in the wrong direction. The scenario of the transition to turbulence on a strange attractor correctly reproduces only the initial stage of the evolution of the liquid layer in the Bénard experiment, namely, heat transfer in the resting layer and convective rolls. Analysis of the behavior of solutions of the Lorentz model leaves no hope for the ability of this scenario to interpret turbulence.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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

    I. V. Lebed

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Lebed, I.V. The Mutual Influence of the Turbulence Coefficient and Reynolds Number on the Formation of a Turbulent Process: 2. Existing Scenarios for the Occurrence and Development of Turbulence. Russ. J. Phys. Chem. B 17, 1414–1421 (2023). https://doi.org/10.1134/S1990793123060179

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  • DOI: https://doi.org/10.1134/S1990793123060179

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