Numerical study of the wall effect on particle sedimentation |
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| Authors: | Liang-Hsia Tsai Chien-Cheng Chang Roland Glowinski |
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| Affiliation: | 1. Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan;2. Department of Mathematics and Taida Institute of Mathematical Sciences, National Taiwan University, Taipei, Taiwan;3. Department of Mathematics, University of Houston, Houston, TX, USA;4. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong |
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| Abstract: | ABSTRACTIn this article, we investigate the abnormal settling of two-disk systems and elliptical shaped particles in infinite two-dimensional channels filled with an incompressible viscous fluid. We apply a distributed Lagrange multiplier/fictitious domain method (DLM/FDM) for the direct numerical simulation of these particulate flows. Due to the wall effect, the two-disk systems can form chains which settle stably instead of having the particles moving apart. Also, sedimentation with the long axis moving to vertical positions in the middle of the infinite channel has been observed for the elliptic shaped particles. The critical Reynolds number for having such an abnormal settling behaviour decreases as the width of the channel increases. |
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| Keywords: | Wall effect dual-particle settling chain of disks low Reynolds number long body settling critical Reynolds number |
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