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Relative velocities in bidisperse turbulent aerosols: Simulations and theory

Journal article
Authors Akshay Bhatnagar
Kristian Gustavsson
Bernhard Mehlig
Dhrubaditya Mitra
Published in Physical Review E
Volume 98
ISSN 2470-0045
Publication year 2018
Published at Department of Physics (GU)
Language en
Subject categories Other Physics Topics


© 2018 American Physical Society. We perform direct numerical simulations of a bidisperse suspension of heavy spherical particles in forced, homogeneous, and isotropic three-dimensional turbulence. We compute the joint distribution of relative particle distances and longitudinal relative velocities between particles of different inertia. For a pair of particles with small difference in their inertias we compare our results with recent theoretical predictions [Meibohm et al., Phys. Rev. E 96, 061102 (2017)2470-004510.1103/PhysRevE.96.061102] for the shape of this distribution. We also compute the moments of relative velocities as a function of particle separation and compare with the theoretical predictions. We observe good agreement. For a pair of particles that are very different from each other - one is heavy and the other one has negligible inertia - we give a theory to calculate their root-mean-square relative velocity. This theory also agrees well with the results of our simulations.

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