Interaction of a vortex ring with the free surface of ideal fluid
Fluid Dynamics
2009-11-06 v1
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.
Cite
@article{arxiv.physics/0001070,
title = {Interaction of a vortex ring with the free surface of ideal fluid},
author = {V. P. Ruban},
journal= {arXiv preprint arXiv:physics/0001070},
year = {2009}
}
Comments
LaTeX, 15 pages, 1 eps figure