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

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

2000-01-29

arxiv.org/abs/physics/0001070v1

Phys. Rev. E 62, 4950 (2000)

Physics

Fluid Dynamics

LaTeX, 15 pages, 1 eps figure

Scientific paper

10.1103/PhysRevE.62.4950

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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