Interaction of a vortex ring with the free surface of an ideal fluid
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.
Ruban
VP
L. D. Landau Institute for Theoretical Physics, 2 Kosygin Street, 117334 Moscow, Russia and Optics and Fluid Dynamics Department, Riso National Laboratory, DK-4000 Roskilde, Denmark.