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

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.

LaTeX, 15 pages, 1 eps figure

Cited by in corpus (2)

• Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems
• Finite time singularities in a class of hydrodynamic models