Eddy diffusivities of inertial particles in random Gaussian flows

S. Boi, A. Mazzino, and P. Muratore-Ginanneschi
Phys. Rev. Fluids 2, 014602 – Published 6 January 2017

Abstract

We investigate the large-scale transport of inertial particles. We derive explicit analytic expressions for the eddy diffusivities for generic Stokes times. These latter expressions are exact for any shear flow while they correspond to the leading contribution either in the deviation from the shear flow geometry or in the Péclet number of general random Gaussian velocity fields. Our explicit expressions allow us to investigate the role of inertia for such a class of flows and to make exact links with the analogous transport problem for tracer particles.

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  • Received 8 November 2016

DOI:https://doi.org/10.1103/PhysRevFluids.2.014602

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsStatistical Physics & ThermodynamicsFluid Dynamics

Authors & Affiliations

S. Boi1,2, A. Mazzino1,2,3, and P. Muratore-Ginanneschi4

  • 1DICCA, University of Genova, Via Montallegro 1, 16145 Genova, Italy
  • 2INFN, Genova Section, Via Dodecaneso 33, 16146 Genova, Italy
  • 3CINFAI Consortium, Genova Section, Via Montallegro 1, 16146 Genova, Italy
  • 4Department of Mathematics and Statistics, University of Helsinki, Gustaf Haellstroemin katu 2b, Helsinki, Finland

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Vol. 2, Iss. 1 — January 2017

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