dorsal/arxiv
View SchemaInteraction of a vortex ring with the free surface of ideal fluid
| Authors | V. P. Ruban |
|---|---|
| Categories | |
| ArXiv ID | physics/0001070 |
| URL | https://arxiv.org/abs/physics/0001070 |
| DOI | 10.1103/PhysRevE.62.4950 |
| Journal | Phys. Rev. E 62, 4950 (2000) |
Abstract
The interaction of a small vortex ring with the free surface of a perfect fluid is considered. In the frame of the point ring approximation the asymptotic expression for the Fourier-components of radiated surface waves is obtained in the case when the vortex ring comes from infinity and has both horizontal and vertical components of the velocity. The non-conservative corrections to the equations of motion of the ring, due to Cherenkov radiation, are derived.
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"abstract": "The interaction of a small vortex ring with the free surface of a perfect\nfluid is considered. In the frame of the point ring approximation the\nasymptotic expression for the Fourier-components of radiated surface waves is\nobtained in the case when the vortex ring comes from infinity and has both\nhorizontal and vertical components of the velocity. The non-conservative\ncorrections to the equations of motion of the ring, due to Cherenkov radiation,\nare derived.",
"arxiv_id": "physics/0001070",
"authors": [
"V. P. Ruban"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.62.4950",
"journal_ref": "Phys. Rev. E 62, 4950 (2000)",
"title": "Interaction of a vortex ring with the free surface of ideal fluid",
"url": "https://arxiv.org/abs/physics/0001070"
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