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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.

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Authors and Affiliations

  1. Blagonravov Institute of Machines Science, Russian Academy of Sciences, Moscow, 101990, Russia

    S. V. Sokolov

Authors
  1. S. V. Sokolov
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Correspondence to S. V. Sokolov.

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Original Russian Text © S.V. Sokolov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 470, No. 4, pp. 393–396.

The article was translated by the author.

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Sokolov, S.V. On the problem of falling motion of a circular cylinder and a vortex pair in a perfect fluid. Dokl. Math. 94, 594–597 (2016). https://doi.org/10.1134/S1064562416050173

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  • DOI: https://doi.org/10.1134/S1064562416050173

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