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Numerical study of collisional particle dynamics in cluster-induced turbulence

Published online by Cambridge University Press:  23 April 2014

Jesse Capecelatro ,
Olivier Desjardins  and
Rodney O. Fox
Jesse Capecelatro*
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853-7501, USA
Olivier Desjardins
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853-7501, USA
Rodney O. Fox
Affiliation:
Department of Chemical and Biological Engineering, 2114 Sweeney Hall, Iowa State University, Ames, IA 50011-2230, USA EM2C-UPR CNRS 288, Ecole Centrale Paris, Grande vois des Vignes, 92295 Chatenay Malabry, France
*
†Email address for correspondence: jsc359@cornell.edu
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Abstract

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We present a computational study of cluster-induced turbulence (CIT), where the production of fluid-phase kinetic energy results entirely from momentum coupling with finite-size inertial particles. A separation of length scales must be established when evaluating the particle dynamics in order to distinguish between the continuous mesoscopic velocity field and the uncorrelated particle motion. To accomplish this, an adaptive spatial filter is employed on the Lagrangian data with an averaging volume that varies with the local particle-phase volume fraction. This filtering approach ensures sufficient particle sample sizes in order to obtain meaningful statistics while remaining small enough to avoid capturing variations in the mesoscopic particle field. Two-point spatial correlations are computed to assess the validity of the filter in extracting meaningful statistics. The method is used to investigate, for the first time, the properties of a statistically stationary gravity-driven particle-laden flow, where particle–particle and fluid–particle interactions control the multiphase dynamics. Results from fully developed CIT show a strong correlation between the local volume fraction and the granular temperature, with maximum values located at the upstream boundary of clusters (i.e. where maximum compressibility of the particle velocity field exists), while negligible particle agitation is observed within clusters.

JFM classification

Turbulent Flows: Homogeneous turbulence Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Multiphase and Particle-laden Flows: Particle/fluid flow
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 747 , 25 May 2014 , R2
Copyright
© 2014 Cambridge University Press 

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Capecelatro et al. supplementary movie

Simulation of Re=1 cluster-induced turbulence. The particles are initially randomly distributed suspended in a gas phase at rest. The mesh size is 1024 x 256 x 256, corresponding to 7 million particles. Left: particle-phase volume fraction, middle: vertical fluid-phase velocity, right: granular temperature.

Download Capecelatro et al. supplementary movie(Video)
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