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Divergence and convergence of inertial particles in high-Reynolds-number turbulence

Published online by Cambridge University Press:  26 October 2020

Thibault Oujia Open the ORCID record for Thibault Oujia [Opens in a new window] ,
Keigo Matsuda Open the ORCID record for Keigo Matsuda [Opens in a new window]  and
Kai Schneider Open the ORCID record for Kai Schneider [Opens in a new window]
Thibault Oujia*
Affiliation:
Institut de Mathématiques de Marseille (I2M), Aix-Marseille Université, CNRS and Centrale Marseille, 39 rue F. Joliot-Curie, 13453Marseille Cedex 13, France
Keigo Matsuda
Affiliation:
Institut de Mathématiques de Marseille (I2M), Aix-Marseille Université, CNRS and Centrale Marseille, 39 rue F. Joliot-Curie, 13453Marseille Cedex 13, France Research Institute for Value-Added-Information Generation (VAiG), Japan Agency for Marine-Earth Science and Technology (JAMSTEC), 3173-25 Showa-machi, Kanazawa-ku, Yokohama, 236-0001Japan
Kai Schneider
Affiliation:
Institut de Mathématiques de Marseille (I2M), Aix-Marseille Université, CNRS and Centrale Marseille, 39 rue F. Joliot-Curie, 13453Marseille Cedex 13, France
*
†Email address for correspondence: thibault.oujia@etu.univ-amu.fr
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Abstract

Inertial particle data from three-dimensional direct numerical simulations of particle-laden homogeneous isotropic turbulence at high Reynolds number are analysed using Voronoi tessellation of the particle positions and considering different Stokes numbers. A finite-time measure to quantify the divergence of the particle velocity by determining the volume change rate of the Voronoi cells is proposed. For inertial particles, the probability distribution function of the divergence deviates from that for fluid particles. Joint probability distribution functions of the divergence and the Voronoi volume illustrate that the divergence is most prominent in cluster regions and less pronounced in void regions. For larger volumes, the results show negative divergence values which represent cluster formation (i.e. particle convergence) and, for small volumes, the results show positive divergence values which represents cluster destruction/void formation (i.e. particle divergence). Moreover, when the Stokes number increases the divergence takes larger values, which gives some evidence why fine clusters are less observed for large Stokes numbers.

JFM classification

Turbulent Flows: Isotropic turbulence Multiphase and Particle-laden Flows: Multiphase flow Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 905 , 25 December 2020 , A14
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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