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Lattice-Boltzmann simulation of inertial particle-laden flow around an obstacle

Hamed Haddadi

Shahab Shojaei-Zadeh

Jeffrey F. Morris*

  • Department of Bioengineering, University of California at Los Angeles, 420 Westwood Plaza, Los Angeles, California 90095, USA

  • Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, New Jersey 08854, USA

  • Department of Chemical Engineering and Levich Institute for Physico-Chemical Hydrodynamics, City College of New York, New York, New York 10031, USA

  • *morris@ccny.cuny.edu
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Phys. Rev. Fluids 1, 024201 – Published 22 June, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.024201

Abstract

The lattice-Boltzmann method is used to compute the flow of a particle suspension of dilute volume fraction ϕ≤0.08 around obstacles. The work focuses on the interaction of particles with the obstacle and the flow behavior in and around the recirculating wake behind the obstacle. Motivated by microfluidic experiments of dilute suspension flow over obstacles of circular, square, and other shapes showing depletion of particles in the wake behind the obstacle, we focus on the entry and exit from the wake for isolated particles, small groups of particles, and a suspension of many particles. All work is at conditions well below the Reynolds number for the transition to unsteady flow and vortex shedding. The dynamics of an isolated particle inside the recirculating wake flow exhibits motion toward a limit cycle near the outer boundary of the wake. By increasing particle density above the fluid and increasing the size of the particle, we determine the upper limits of these variables yielding a limit cycle trajectory. Hydrodynamic interaction between particles in a many-particle suspension is shown to lead to exchange of particles between the wake zone and free stream.

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Phys. Rev. Fluids 1, 024201– Published 22 June, 2016
  • Received 24 February 2016
Article part of CHORUS

©2016 American Physical Society

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