Abstract:
The aim of this paper is to test the possibility of a secondary solution of the acentric rotation of helical vortex pairs with the same pitch, sign and strength. The investigation addresses the three-dimensional vortex dynamics of thin vortex filaments. As a result of the current investigation, this secondary solution with acentric vortex positions in the helical pairs is found. This fact was not discussed in previous studies, and the existence of the new equilibrium solution for the helical vortex pairs is an original result.
This work was carried out at the Kutateladze Institute of Thermophysics SB RAS and was supported by the Russian Science Foundation (grant No. 14-19-00487).
\Bibitem{Oku16}
\by Valery L. Okulov
\paper An Acentric Rotation of Two Helical Vortices of the Same Circulations
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 3
\pages 267--273
\mathnet{http://mi.mathnet.ru/rcd78}
\crossref{https://doi.org/10.1134/S1560354716030035}
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https://www.mathnet.ru/eng/rcd78
https://www.mathnet.ru/eng/rcd/v21/i3/p267
This publication is cited in the following 5 articles:
V. L. Okulov, Y. Fukumoto, “Review of Analytical Approaches for Simulating Motions of Helical Vortex”, Front. Energy Res., 10 (2022)
V. L. Okulov, Ya. Fukumoto, “Singular approximations for calculating vortex filaments”, J. Appl. Mech. Tech. Phys., 62:3 (2021), 519–524
V. L. Okulov, “Vortex pair of coaxial helical filaments”, J. Appl. Mech. Tech. Phys., 61:3 (2020), 343–349
E. D. Venegas, S. Le Dizes, “Generalized helical vortex pairs”, J. Fluid Mech., 865 (2019), 523–545
V. L. Okulov, “The role of laboratory testing in the development of rotor aerodynamics (review)”, Thermophys. Aeromechanics, 25:1 (2018), 1–20
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