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 nonconservative corrections to the equations of motion of the ring, due to Cherenkov radiation, are derived.
Original language | English |
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Journal | Physical Review E |
Volume | 62 |
Issue number | 4 |
Pages (from-to) | 4950-4958 |
ISSN | 1063-651X |
DOIs | |
Publication status | Published - 2000 |