An acentric rotation of two helical vortices of the same circulations

Valery Okulov

doi:10.1134/S1560354716030035

An acentric rotation of two helical vortices of the same circulations

Valery Okulov

Research output: Contribution to journal › Journal article › Research › peer-review

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.

Original language	English
Journal	Regular and Chaotic Dynamics
Volume	21
Issue number	3
Pages (from-to)	267–273
ISSN	1560-3547
DOIs	https://doi.org/10.1134/S1560354716030035
Publication status	Published - 2016

Keywords

Vortex dynamics
Helical vortex
Vortex pair
Equilibrium rotation

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10.1134/S1560354716030035

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title = "An acentric rotation of two helical vortices of the same circulations",

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.",

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AB - 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.

KW - Vortex dynamics

KW - Helical vortex

KW - Vortex pair

KW - Equilibrium rotation

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DO - 10.1134/S1560354716030035

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JO - Regular and Chaotic Dynamics

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IS - 3

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An acentric rotation of two helical vortices of the same circulations

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