Macroscopic and microscopic hydrodynamic mixing of stratified suspensions

Yasufumi Yamamoto, Koki Yamada, Yohsuke Tanaka, and Shusaku Harada
Phys. Rev. E 104, 025111 – Published 27 August 2021
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Abstract

We conducted numerical experiments to investigate the mixing of stratified suspensions containing different types of particles. We used a point-force two-way coupling method. We studied the mixing behavior of stratified suspensions and we discovered two types of mixing: microscopic (individual-particle-level) and macroscopic (vessel-scale) collective mixing. In addition, we examined the vertical mixing speed of the stratified suspension. We used a simple theoretical model to analyze the fingering settling velocity. Then we introduced a nondimensional number representing the difference in collectivities of the upper and lower suspensions while accounting for particle terminal velocities. We discovered that the proposed nondimensional parameter has a negative sign that distinguishes the mixing form of only microscopic individual-particle-level mixing and a positive value that predicts the speed of macroscopic collective mixing of stratified suspensions.

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  • Received 24 June 2021
  • Accepted 17 August 2021

DOI:https://doi.org/10.1103/PhysRevE.104.025111

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Yasufumi Yamamoto* and Koki Yamada

  • Department of Mechanical Engineering, Kansai University, 3-35 Yamate-cho 3-chome, Suita, Osaka 564-8680, Japan

Yohsuke Tanaka

  • Faculty of Mechanical Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan

Shusaku Harada

  • Division of Sustainable Resources Engineering, Faculty of Engineering, Hokkaido University, N13-W8 Sapporo, Hokkaido 060-8628, Japan

  • *yamayasu@kansai-u.ac.jp

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Issue

Vol. 104, Iss. 2 — August 2021

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