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Multifractal structure of fully developed hydrodynamic turbulence. II. Intermittency effects in the distribution of passive scalar impurities

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Abstract

We discuss intermittency effects in the distribution of scalar passive impurities within fully developed hydrodynamic turbulence. It is shown that the observable stronger intermittency effects in the distribution of passive impurities with respect to that for the energy dissipation rate can naturally be explained in the framework of composite random cascade models. We discuss doubly random bounded and unbounded log-normal models, the doubly randomβ-model, and the two-scale Cantor set approximation. Then the problem of mutual correlations is discussed. The various results are compared with experiments.

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Chechetkin, V.R., Lutovinov, V.S. & Turygin, A.Y. Multifractal structure of fully developed hydrodynamic turbulence. II. Intermittency effects in the distribution of passive scalar impurities. J Stat Phys 61, 589–605 (1990). https://doi.org/10.1007/BF01027293

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  • DOI: https://doi.org/10.1007/BF01027293

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