Relative velocities in bidisperse turbulent aerosols: Simulations and theory

Akshay Bhatnagar, K. Gustavsson, B. Mehlig, and Dhrubaditya Mitra
Phys. Rev. E 98, 063107 – Published 13 December 2018

Abstract

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)] 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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  • Received 14 September 2018

DOI:https://doi.org/10.1103/PhysRevE.98.063107

©2018 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Akshay Bhatnagar1,*, K. Gustavsson2, B. Mehlig2, and Dhrubaditya Mitra1,†

  • 1Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691 Stockholm, Sweden
  • 2Department of Physics, Gothenburg University, 41296 Gothenburg, Sweden

  • *akshayphy@gmail.com
  • dhruba.mitra@gmail.com

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Vol. 98, Iss. 6 — December 2018

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