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Clustering of the low-inertia particle number density field in random divergence-free hydrodynamic flows

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Abstract

We consider the diffusion of the low-inertia particle number density field in random divergence-free hydrodynamic flows. The principal feature of this diffusion is the divergence of the particle velocity field, which results in clustering of the particle number density field. This phenomenon is coherent, occurs with a unit probability, and must show up in almost all realizations of the process dynamics. We calculate the statistical parameters that characterize clustering in three-dimensional and two-dimensional random fluid flows and in a rapidly rotating two-dimensional random flow. In the former case, the vortex component of the random divergence-free flow generates a vortex component of the low-inertia particle velocity field, which generates a potential component of the velocity field through advection. By contrast, in the case of rapid rotation, a potential component of the velocity field is generated directly by the vortex component of the random divergence-free flow (linear problem).

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Authors and Affiliations

  1. Oboukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russia

    V. I. Klyatskin

  2. Pacific Institute of Oceanology, Far East Division, Russian Academy of Sciences, ul. Baltiiskaya 43, Vladivostok, 690041, Russia

    V. I. Klyatskin

  3. Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of Negev, P.O. Box 653, Beer-Sheva, 84105, Israel

    T. Elperin

Authors
  1. V. I. Klyatskin
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  2. T. Elperin
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 2, 2002, pp. 328–340.

Original Russian Text Copyright © 2002 by Klyatskin, Elperin.

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Klyatskin, V.I., Elperin, T. Clustering of the low-inertia particle number density field in random divergence-free hydrodynamic flows. J. Exp. Theor. Phys. 95, 282–293 (2002). https://doi.org/10.1134/1.1506436

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  • DOI: https://doi.org/10.1134/1.1506436

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