On the problem of falling motion of a circular cylinder and a vortex pair in a perfect fluid
- Authors: Sokolov S.V.1
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Affiliations:
- Blagonravov Institute of Machines Science
- Issue: Vol 94, No 2 (2016)
- Pages: 594-597
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/224453
- DOI: https://doi.org/10.1134/S1064562416050173
- ID: 224453
Cite item
Abstract
We consider a system consisting of a heavy circular cylinder in the field of gravity interacting dynamically with a vortex pair in a perfect fluid. The circulation about the cylinder is assumed to be zero. It is shown that, unlike the famous Föppl configuration, the vortices cannot be in a relative equilibrium. An asymptotic system and a suitable regularization are considered.
About the authors
S. V. Sokolov
Blagonravov Institute of Machines Science
Author for correspondence.
Email: sokolovsv72@mail.ru
Russian Federation, Moscow, 101990