Journal
JOURNAL OF FLUID MECHANICS
Volume 755, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2014.445
Keywords
mixing; turbulent flows; turbulent mixing
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Funding
- European Research Council under the European Community's Seventh Framework Program (FP7) [240579]
- French Agence Nationale de la Recherche [ANR-12-BS09-011-04]
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The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between tracers self-averages and performs a continuous-time random walk. This leads to specific predictions for the probability distribution of separations, which differ from those obtained using scale-dependent eddy-diffusivity models (e.g. in the framework of Richardson's approach). These predictions are tested against high-resolution simulations and shed new light on the explosive separation between tracers.
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