Slow viscous flow of two porous spherical particles translating along the axis of a cylinder

We describe the motion of two freely moving porous spherical particles located along the axis of a cylindrical tube with background Poiseuille flow at low Reynolds number. The stream function and a framework based on cylindrical harmonics are adopted to solve the flow field around the particles and...

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Main Authors: Yao, Xin, Ng, Chyi Huey, Teo, Amanda Jia Rui, Marcos, Wong, Teck Neng
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/144565
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1445652023-03-04T17:11:54Z Slow viscous flow of two porous spherical particles translating along the axis of a cylinder Yao, Xin Ng, Chyi Huey Teo, Amanda Jia Rui Marcos Wong, Teck Neng School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Low-Reynolds-number Flows Porous Media We describe the motion of two freely moving porous spherical particles located along the axis of a cylindrical tube with background Poiseuille flow at low Reynolds number. The stream function and a framework based on cylindrical harmonics are adopted to solve the flow field around the particles and the flow within the tube, respectively. The two solutions are employed in an iterated framework using the method of reflections. We first consider the case of two identical particles, followed by two particles with different dimensions. In both cases, the drag force coefficients of the particles are solved as functions of the separation distance between the particles and the permeability of the particles. The detailed flow field in the vicinity of the two particles is investigated by plotting the streamlines and velocity contours. We find that the particle–particle interaction is dependent on the separation distance, particle sizes and permeability of the particles. Our analysis reveals that when the permeability of the particles is large, the streamlines are more parallel and the particle–particle interaction has less effect on the particle motion. We further show that a smaller permeability and bigger particle size generally tend to squeeze the streamlines and velocity contour towards the wall. Accepted version 2020-11-13T01:16:27Z 2020-11-13T01:16:27Z 2018 Journal Article Yao, X., Ng, C. H., Teo, A. J. R., Marcos, & Wong, T. N. (2019). Slow viscous flow of two porous spherical particles translating along the axis of a cylinder. Journal of Fluid Mechanics, 861, 643-678. doi:10.1017/jfm.2018.918 0022-1120 https://hdl.handle.net/10356/144565 10.1017/jfm.2018.918 861 643 678 en Journal of Fluid Mechanics © 2018 Cambridge University Press. All rights reserved. This paper was published in Journal of Fluid Mechanics and is made available with permission of Cambridge University Press. 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 Flows
Porous Media
spellingShingle Engineering::Mechanical engineering
Low-Reynolds-number Flows
Porous Media
Yao, Xin
Ng, Chyi Huey
Teo, Amanda Jia Rui
Marcos
Wong, Teck Neng
Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
description We describe the motion of two freely moving porous spherical particles located along the axis of a cylindrical tube with background Poiseuille flow at low Reynolds number. The stream function and a framework based on cylindrical harmonics are adopted to solve the flow field around the particles and the flow within the tube, respectively. The two solutions are employed in an iterated framework using the method of reflections. We first consider the case of two identical particles, followed by two particles with different dimensions. In both cases, the drag force coefficients of the particles are solved as functions of the separation distance between the particles and the permeability of the particles. The detailed flow field in the vicinity of the two particles is investigated by plotting the streamlines and velocity contours. We find that the particle–particle interaction is dependent on the separation distance, particle sizes and permeability of the particles. Our analysis reveals that when the permeability of the particles is large, the streamlines are more parallel and the particle–particle interaction has less effect on the particle motion. We further show that a smaller permeability and bigger particle size generally tend to squeeze the streamlines and velocity contour towards the wall.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Yao, Xin
Ng, Chyi Huey
Teo, Amanda Jia Rui
Marcos
Wong, Teck Neng
format Article
author Yao, Xin
Ng, Chyi Huey
Teo, Amanda Jia Rui
Marcos
Wong, Teck Neng
author_sort Yao, Xin
title Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
title_short Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
title_full Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
title_fullStr Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
title_full_unstemmed Slow viscous flow of two porous spherical particles translating along the axis of a cylinder
title_sort slow viscous flow of two porous spherical particles translating along the axis of a cylinder
publishDate 2020
url https://hdl.handle.net/10356/144565
_version_ 1759853395983728640