Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (9): 1147-1158.doi: https://doi.org/10.1007/s10483-011-1488-7

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Numerical simulation of particle sedimentation in 3D rectangular channel

刘马林   

  1. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, P. R. China
  • 收稿日期:2010-11-24 修回日期:2011-06-23 出版日期:2011-09-02 发布日期:2011-09-02

Numerical simulation of particle sedimentation in 3D rectangular channel

 LIU Ma-Lin   

  1. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, P. R. China
  • Received:2010-11-24 Revised:2011-06-23 Online:2011-09-02 Published:2011-09-02

摘要: The 3D lattice Boltzmann method is used to simulate particle sedimentation in a rectangular channel. The results of single particle sedimentation indicate that the last position of the particle is along the center line of the channel regardless of the initial position, the particle diameter, and the particle Reynolds number. The wall effect on the terminal velocity is in good agreement with experimental results quantitatively. The drafting, kissing, and tumbling (DKT) process is reproduced and analyzed by simulating  two-particle cluster sedimentation. The effects of the diameter ratio, initial position, and wall on the DKT process are investigated. When the two particles have equal diameter sediment in the rectangular channel, a periodical DKT process and the spiraling trajectory are found. The last equilibrium configuration is obtained from the simulation results. The interesting regular sedimentation phenomena are found when 49 particles fall down under gravity.

Abstract: The 3D lattice Boltzmann method is used to simulate particle sedimentation in a rectangular channel. The results of single particle sedimentation indicate that the last position of the particle is along the center line of the channel regardless of the initial position, the particle diameter, and the particle Reynolds number. The wall effect on the terminal velocity is in good agreement with experimental results quantitatively. The drafting, kissing, and tumbling (DKT) process is reproduced and analyzed by simulating  two-particle cluster sedimentation. The effects of the diameter ratio, initial position, and wall on the DKT process are investigated. When the two particles have equal diameter sediment in the rectangular channel, a periodical DKT process and the spiraling trajectory are found. The last equilibrium configuration is obtained from the simulation results. The interesting regular sedimentation phenomena are found when 49 particles fall down under gravity.

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