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Inertial-particle dynamics in turbulent flows: caustics, concentration fluctuations and random uncorrelated motion

Lookup NU author(s): Elena Meneguz, Emeritus Professor Mike Reeks

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Abstract

We have performed numerical simulations of inertial particles inrandom model flows in the white-noise limit (at zero Kubo number, Ku = 0) andat finite Kubo numbers. Our results for the moments of relative inertial-particlevelocities are in good agreement with recent theoretical results (Gustavsson andMehlig 2011a) based on the formation of phase-space singularities in the inertial-particle dynamics (caustics). We discuss the relation between three recentapproaches describing the dynamics and spatial distribution of inertial particlessuspended in turbulent flows: caustic formation, real-space singularities of thedeformation tensor and random uncorrelated motion. We discuss how the phase-and real-space singularities are related. Their formation is well understood interms of a local theory. We summarise the implications for random uncorrelatedmotion

Publication metadata

Author(s): Gustavsson K, Meneguz E, Reeks MW, Mehlig B

Publication type: Article

Publication status: Published

Journal: New Journal of Physics

Year: 2012

Volume: 14

Print publication date: 22/11/2012

Date deposited: 30/04/2013

ISSN (electronic): 1367-2630

Publisher: Institute of Physics Publishing Ltd.

URL: http://dx.doi.org/10.1088/1367-2630/14/11/115017

DOI: 10.1088/1367-2630/14/11/115017

Notes: Article no. 115017 is 19 pp.

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