Sedimentation Dynamics of Bodies with Two Planes of Symmetry
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929669044961280 |
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| author | Joshi, Harshit Govindarajan, Rama |
| author_facet | Joshi, Harshit Govindarajan, Rama |
| contents | We show that bodies with two planes of symmetry can display a range of behaviors even without inertia. Any such body supports a conserved quantity in its dynamics, and is either a settler, a drifter or a flutterer, depending only on its shape. At large time, settlers and drifters, respectively, fall vertically and obliquely, while flutterers rotate forever while executing intricate patterns. The dynamics of flutterers decouples into a periodic and a Floquet part with different timescales, giving periodicity or quasiperiodicity. We design a set of bodies and use the boundary integral method to show that settlers, drifters, and flutterers, all lie in this set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sedimentation Dynamics of Bodies with Two Planes of Symmetry Joshi, Harshit Govindarajan, Rama Fluid Dynamics We show that bodies with two planes of symmetry can display a range of behaviors even without inertia. Any such body supports a conserved quantity in its dynamics, and is either a settler, a drifter or a flutterer, depending only on its shape. At large time, settlers and drifters, respectively, fall vertically and obliquely, while flutterers rotate forever while executing intricate patterns. The dynamics of flutterers decouples into a periodic and a Floquet part with different timescales, giving periodicity or quasiperiodicity. We design a set of bodies and use the boundary integral method to show that settlers, drifters, and flutterers, all lie in this set. |
| title | Sedimentation Dynamics of Bodies with Two Planes of Symmetry |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2403.10643 |