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Turbulent particle pair diffusion: A theory based on local and non-local diffusional processes

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  • Nadeem A Malik

Abstract

A re-appraisal of the Richardson’s 1926 dataset [Richardson, L. F. Proc. Roy. Soc. Lond. A 100, 709–737, (1926)] displays an unequivocal non-local scaling for the pair diffusion coefficient, K ∼ σ l 1 . 564, quite different to the previously assumed locality scaling law ∼ σ l 4 / 3, where σl is the pair separation. Consequently, the foundations of turbulent pair diffusion theory are re-examined here and it is shown that pair diffusion is governed by both local and non-local diffusional processess inside the inertial subrange. In the context of generalised energy spectra, E(k) ∼ k−p for 1

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  • Nadeem A Malik, 2018. "Turbulent particle pair diffusion: A theory based on local and non-local diffusional processes," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-29, October.
  • Handle: RePEc:plo:pone00:0202940
    DOI: 10.1371/journal.pone.0202940
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    1. Nadeem A Malik, 2019. "Turbulent particle pair diffusion: Numerical simulations," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-28, May.

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