Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
- 1 September 1985
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 28 (9) , 2921-2922
- https://doi.org/10.1063/1.865213
Abstract
The Hamiltonian equations for the trajectories of fluid particles in axisymmetric vortex flows are obtained. On the basis of these equations, the system of thin vortex rings is considered. The problem of the interaction of two vortex rings has a general analytic solution. The problems of stochastization of the system of three and more vortex rings as well as stochastization of trajectories of fluid particles in the system of two and more vortex rings (with appropriate initial conditions) are discussed.Keywords
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