Three Simple Stokeslet Trajectories
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917972321239040 |
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| author | Landrum, Benjamin J. |
| author_facet | Landrum, Benjamin J. |
| contents | Exact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time. Second, a horizontal pair of particles sedimenting toward a rigid wall undergo a finite and surprisingly constant horizontal displacement in the limit of large initial separations. Third, a pair of particles sedimenting in a quadratic flow, such as that of a fluid pumped in the direction of gravity, oscillates in a periodic orbit and admits a Hamiltonian formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04965 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three Simple Stokeslet Trajectories Landrum, Benjamin J. Fluid Dynamics Soft Condensed Matter Exact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time. Second, a horizontal pair of particles sedimenting toward a rigid wall undergo a finite and surprisingly constant horizontal displacement in the limit of large initial separations. Third, a pair of particles sedimenting in a quadratic flow, such as that of a fluid pumped in the direction of gravity, oscillates in a periodic orbit and admits a Hamiltonian formulation. |
| title | Three Simple Stokeslet Trajectories |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2501.04965 |