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Interaction of a vortex ring with the free surface of ideal fluid

V. P. Ruban
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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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V. P. Ruban. 2000-01-29. Interaction of a vortex ring with the free surface of ideal fluid. https://doi.org/10.1103/physreve.62.4950

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