Numerical study of the wall effect on particle sedimentation

Liang Hsia Tsai; Chien Cheng Chang; Tsorng Whay Pan; Roland Glowinski

doi:10.1080/10618562.2018.1492115

Numerical study of the wall effect on particle sedimentation

Liang Hsia Tsai, Chien Cheng Chang, Tsorng Whay Pan^*, Roland Glowinski

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

11 Citations (Scopus)

Abstract

In 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.

Original language	English
Pages (from-to)	158-166
Number of pages	9
Journal	International Journal of Computational Fluid Dynamics
Volume	32
Issue number	2-3
DOIs	https://doi.org/10.1080/10618562.2018.1492115
Publication status	Published - 16 Mar 2018

Scopus Subject Areas

Computational Mechanics
Aerospace Engineering
Condensed Matter Physics
Energy Engineering and Power Technology
Mechanics of Materials
Mechanical Engineering

User-Defined Keywords

chain of disks
critical Reynolds number
dual-particle settling
long body settling
low Reynolds number
Wall effect

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10.1080/10618562.2018.1492115

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title = "Numerical study of the wall effect on particle sedimentation",

abstract = "In 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.",

keywords = "chain of disks, critical Reynolds number, dual-particle settling, long body settling, low Reynolds number, Wall effect",

author = "Tsai, {Liang Hsia} and Chang, {Chien Cheng} and Pan, {Tsorng Whay} and Roland Glowinski",

note = "Funding Information: T.-W. Pan and R. Glowinski were supported by National Science Foundation (NSF) (grant DMS?1418308). C.-C. Chang was supported by the Ministry of Science and Technology (Taiwan) Contract No. MOST 105-2221-E-002-105-MY3. Funding Information: T.-W. Pan and R. Glowinski were supported by National Science Foundation (NSF) (grant DMS–1418308). C.-C. Chang was supported by the Ministry of Science and Technology (Taiwan) Contract No. MOST 105-2221-E-002-105-MY3.",

year = "2018",

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doi = "10.1080/10618562.2018.1492115",

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T1 - Numerical study of the wall effect on particle sedimentation

AU - Tsai, Liang Hsia

AU - Chang, Chien Cheng

AU - Pan, Tsorng Whay

AU - Glowinski, Roland

N1 - Funding Information: T.-W. Pan and R. Glowinski were supported by National Science Foundation (NSF) (grant DMS?1418308). C.-C. Chang was supported by the Ministry of Science and Technology (Taiwan) Contract No. MOST 105-2221-E-002-105-MY3. Funding Information: T.-W. Pan and R. Glowinski were supported by National Science Foundation (NSF) (grant DMS–1418308). C.-C. Chang was supported by the Ministry of Science and Technology (Taiwan) Contract No. MOST 105-2221-E-002-105-MY3.

PY - 2018/3/16

Y1 - 2018/3/16

N2 - In 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.

AB - In 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.

KW - chain of disks

KW - critical Reynolds number

KW - dual-particle settling

KW - long body settling

KW - low Reynolds number

KW - Wall effect

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DO - 10.1080/10618562.2018.1492115

M3 - Journal article

AN - SCOPUS:85049556387

SN - 1061-8562

VL - 32

SP - 158

EP - 166

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

IS - 2-3

ER -

Numerical study of the wall effect on particle sedimentation

Abstract

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