Email this article Non-helical exact solutions to the Euler equations for swirling axisymmetric fluid flows
- Authors: Prosviryakov E.Y.1,2
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Affiliations:
- Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
- Ural Federal University named after the First President of Russia B. N. Yeltsin
- Issue: Vol 23, No 4 (2019)
- Pages: 764-770
- Section: Articles
- URL: https://journal-vniispk.ru/1991-8615/article/view/34672
- ID: 34672
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Abstract
Swirling axisymmetric stationary flows of an ideal incompressible fluid are considered within the framework of the Euler equations. A number of new exact solutions to the Euler equations are presented, where, as distinct from the known Gromeka–Beltrami solutions, vorticity is noncollinear with velocity. One of the obtained solutions corresponds to the flow inside a closed volume, with the nonpermeability condition fulfilled at its boundary, the vector lines of vorticity being coiled on revolution surfaces homeomorphic to a torus.
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##article.viewOnOriginalSite##About the authors
Eugenii Yurevich Prosviryakov
Institute of Engineering Science, Urals Branch, Russian Academy of Sciences; Ural Federal University named after the First President of Russia B. N. Yeltsin
Email: evgen_pros@mail.ru
Doctor of physico-mathematical sciences, no status
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