Slow viscous flow around two particles in a cylinder

This article describes the motion of two arbitrarily located free moving particles in a cylindrical tube with background Poiseuille flow at low Reynolds number. We employ the Lamb’s general solution based on spherical harmonics and construct a framework based on cylindrical harmonics to solve the fl...

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Main Authors: Yao, Xin, Marcos, Wong, Teck Neng
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/159965
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1599652022-07-07T02:10:32Z Slow viscous flow around two particles in a cylinder Yao, Xin Marcos Wong, Teck Neng School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Low Reynolds Number Particle Flow Stokesian Dynamics This article describes the motion of two arbitrarily located free moving particles in a cylindrical tube with background Poiseuille flow at low Reynolds number. We employ the Lamb’s general solution based on spherical harmonics and construct a framework based on cylindrical harmonics to solve the flow field around the particles and the flow within the tube, respectively. The two solutions are performed in an iterated framework using the method of reflections. We compute the drag force and torque coefficients of the particles which are dependent on the distances among the cylinder wall and the two particles. In addition, we provide detailed flow field in the vicinity of the two particles including streamlines and velocity contour. Our analysis reveals that the particle–particle interaction can be neglected when the separation distance is three times larger than the sum of particles radii when the two particles are identical. Furthermore, the direction of Poiseuille flow, the particle position relative to the axis and the particle size can make the two particles attract or repel. Unlike the single particle case, the two particles can move laterally due to the hydrodynamic interaction. Such analysis can give insights to understand the mechanisms of collision and aggregation of particles in microchannels. Ministry of Education (MOE) Submitted/Accepted version This study is supported by the Academic Research Fund Tier 2 (2011-T2-1-036) and Academic Research Fund Tier1 (RG 96/15), Ministry of Education, Singapore. 2022-07-07T02:10:31Z 2022-07-07T02:10:31Z 2017 Journal Article Yao, X., Marcos & Wong, T. N. (2017). Slow viscous flow around two particles in a cylinder. Microfluidics and Nanofluidics, 21(10), 161-. https://dx.doi.org/10.1007/s10404-017-1996-2 1613-4982 https://hdl.handle.net/10356/159965 10.1007/s10404-017-1996-2 2-s2.0-85029949121 10 21 161 en 2011-T2-1-036 RG 96/15 Microfluidics and Nanofluidics © 2017 Springer-Verlag GmbH Germany. All rights reserved. This paper was published in Microfluidics and Nanofluidics and is made available with permission of Springer-Verlag GmbH Germany. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10404-017-1996-2. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering
Low Reynolds Number
Particle Flow
Stokesian Dynamics
spellingShingle Engineering::Mechanical engineering
Low Reynolds Number
Particle Flow
Stokesian Dynamics
Yao, Xin
Marcos
Wong, Teck Neng
Slow viscous flow around two particles in a cylinder
description This article describes the motion of two arbitrarily located free moving particles in a cylindrical tube with background Poiseuille flow at low Reynolds number. We employ the Lamb’s general solution based on spherical harmonics and construct a framework based on cylindrical harmonics to solve the flow field around the particles and the flow within the tube, respectively. The two solutions are performed in an iterated framework using the method of reflections. We compute the drag force and torque coefficients of the particles which are dependent on the distances among the cylinder wall and the two particles. In addition, we provide detailed flow field in the vicinity of the two particles including streamlines and velocity contour. Our analysis reveals that the particle–particle interaction can be neglected when the separation distance is three times larger than the sum of particles radii when the two particles are identical. Furthermore, the direction of Poiseuille flow, the particle position relative to the axis and the particle size can make the two particles attract or repel. Unlike the single particle case, the two particles can move laterally due to the hydrodynamic interaction. Such analysis can give insights to understand the mechanisms of collision and aggregation of particles in microchannels.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Yao, Xin
Marcos
Wong, Teck Neng
format Article
author Yao, Xin
Marcos
Wong, Teck Neng
author_sort Yao, Xin
title Slow viscous flow around two particles in a cylinder
title_short Slow viscous flow around two particles in a cylinder
title_full Slow viscous flow around two particles in a cylinder
title_fullStr Slow viscous flow around two particles in a cylinder
title_full_unstemmed Slow viscous flow around two particles in a cylinder
title_sort slow viscous flow around two particles in a cylinder
publishDate 2022
url https://hdl.handle.net/10356/159965
_version_ 1738844950575972352