Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity

Dynamics of a spherical particle and the suspending low-Reynolds-number fluid confined by a cubic cavity were studied numerically. We calculated the particle’s hydrodynamic mobilities along x-, y-, and z-directions at various locations in the cavity. The mobility is largest in the cavity center and...

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Main Authors: Gaofeng Chen, Xikai Jiang
Format: Article
Language:English
Published: Elsevier 2022-05-01
Series:Theoretical and Applied Mechanics Letters
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034922000320
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author Gaofeng Chen
Xikai Jiang
author_facet Gaofeng Chen
Xikai Jiang
author_sort Gaofeng Chen
collection DOAJ
description Dynamics of a spherical particle and the suspending low-Reynolds-number fluid confined by a cubic cavity were studied numerically. We calculated the particle’s hydrodynamic mobilities along x-, y-, and z-directions at various locations in the cavity. The mobility is largest in the cavity center and decays as the particle becomes closer to no-slip walls. It was found that mobilities in the entire cubic cavity can be determined by a minimal set in a unit tetrahedron therein. Fluid vortices in the cavity induced by the particle motion were observed and analyzed. We also found that the particle can exhibit a drift motion perpendicular to the external force. Magnitude of the drift velocity normalized by the velocity along the direction of the external force depends on particle location and particle-to-cavity sizes ratio. This work forms the basis to understand more complex dynamics in microfluidic applications such as intracellular transport and encapsulation technologies.
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spelling doaj.art-fdf42a7564ca4c1ca4f61beff37ed2d42022-12-22T03:35:22ZengElsevierTheoretical and Applied Mechanics Letters2095-03492022-05-01124100352Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavityGaofeng Chen0Xikai Jiang1State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, ChinaState Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China; Corresponding author.Dynamics of a spherical particle and the suspending low-Reynolds-number fluid confined by a cubic cavity were studied numerically. We calculated the particle’s hydrodynamic mobilities along x-, y-, and z-directions at various locations in the cavity. The mobility is largest in the cavity center and decays as the particle becomes closer to no-slip walls. It was found that mobilities in the entire cubic cavity can be determined by a minimal set in a unit tetrahedron therein. Fluid vortices in the cavity induced by the particle motion were observed and analyzed. We also found that the particle can exhibit a drift motion perpendicular to the external force. Magnitude of the drift velocity normalized by the velocity along the direction of the external force depends on particle location and particle-to-cavity sizes ratio. This work forms the basis to understand more complex dynamics in microfluidic applications such as intracellular transport and encapsulation technologies.http://www.sciencedirect.com/science/article/pii/S2095034922000320Particle dynamicsLow-Reynolds-number fluidConfinementMobilityDrift
spellingShingle Gaofeng Chen
Xikai Jiang
Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
Theoretical and Applied Mechanics Letters
Particle dynamics
Low-Reynolds-number fluid
Confinement
Mobility
Drift
title Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
title_full Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
title_fullStr Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
title_full_unstemmed Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
title_short Motion of a sphere and the suspending low-Reynolds-number fluid confined in a cubic cavity
title_sort motion of a sphere and the suspending low reynolds number fluid confined in a cubic cavity
topic Particle dynamics
Low-Reynolds-number fluid
Confinement
Mobility
Drift
url http://www.sciencedirect.com/science/article/pii/S2095034922000320
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