2000/01/29 by V. P. Ruban · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Quantum chaos and dynamical systems #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.62.4950
published as Phys. Rev. E 62, 4950 (2000) · LaTeX, 15 pages, 1 eps figure
arxiv created 2000/01/29 · openalex publication_date 2000/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.