Abstract
We discuss intermittency effects in fully developed hydrodynamic turbulence. It is shown that the application of the bounded log-normal distribution to the fluctuations of the local energy dissipation rate resolves some basic difficulties related to Kolmogorov's third hypothesis and gives a good agreement with experiment. The nonlinear interaction of the large-scale and inertial-range turbulent pulsations of the velocities may explain the observable characteristics of the intermittency. We give also a detailed comparison of the results obtained with the use of the bounded log-normal distribution with that obtained in the framework of the homogeneous and randomβ-models, a two-scale Cantor set approximation, and the original unbounded log-normal distribution suggested by Kolmogorov and Obukhov.
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Chechetkin, V.R., Lutovinov, V.S. & Turygin, A.Y. Multifractal structure of fully developed hydrodynamic turbulence. I. Kolmogorov's third hypothesis revisited. J Stat Phys 61, 573–588 (1990). https://doi.org/10.1007/BF01027292
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DOI: https://doi.org/10.1007/BF01027292