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Mathematical Problems in Engineering
Volume 2017, Article ID 1259840, 11 pages
https://doi.org/10.1155/2017/1259840
Research Article

Computer Simulation of Three Particles Sedimentation in a Narrow Channel

Institute of Fluid Mechanics, China Jiliang University, Hangzhou 310018, China

Correspondence should be addressed to Deming Nie; moc.liamg@zhniein

Received 3 December 2016; Revised 3 February 2017; Accepted 28 February 2017; Published 15 March 2017

Academic Editor: Claudia Adduce

Copyright © 2017 Rongqian Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The settling of three particles in a narrow channel is simulated via the lattice Boltzmann direct-forcing/fictitious domain (LB-DF/FD) method for the Reynolds number ranging from 5 to 200. The effects of the wall and the Reynolds number are studied. It is interesting to find that at certain Reynolds numbers the left (right) particle is settling at 0.175 (0.825) of the channel width irrespective of its initial position or the channel width. Moreover, numerical results have shown that the lateral particles lead at small Reynolds numbers, while the central particle leads at large Reynolds numbers due to the combined effects of particle-particle and particle-wall interactions. The central particle will leave the lateral ones behind when the Reynolds number is large enough. Finally the effect of the Reynolds number on the trajectory of the lateral particles is presented.