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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-05-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034922000320 |
| Summary: | 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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| ISSN: | 2095-0349 |