On the problem of falling motion of a circular cylinder and a vortex pair in a perfect fluid


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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


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