Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core

Valery Okulov, Y. Fukumoto

Research output: Contribution to conferencePaperResearchpeer-review

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Abstract

Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated for the Euler equations. Using the method of matched asymptotic expansions in a small parameter ߳, the ratio of core radius to curvature radius, the velocity of a vortex tube is derived to ܱ(߳ଷ), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. Some detailed analysis is made of motion of a helical vortex tube.
Original languageEnglish
Publication date2018
Publication statusPublished - 2018
Event4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) - Kutateladze Institute of Thermophysics, Novosibirsk, Russian Federation
Duration: 1 Oct 20183 Oct 2018

Conference

Conference4th International Retreat on Vortical Flow and Aerodynamics (IRVA4)
LocationKutateladze Institute of Thermophysics
CountryRussian Federation
CityNovosibirsk
Period01/10/201803/10/2018

Cite this

Okulov, V., & Fukumoto, Y. (2018). Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core. 25-28. Paper presented at 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) , Novosibirsk, Russian Federation.
Okulov, Valery ; Fukumoto, Y. / Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core. Paper presented at 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) , Novosibirsk, Russian Federation.
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abstract = "Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated for the Euler equations. Using the method of matched asymptotic expansions in a small parameter ߳, the ratio of core radius to curvature radius, the velocity of a vortex tube is derived to ܱ(߳ଷ), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. Some detailed analysis is made of motion of a helical vortex tube.",
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Okulov, V & Fukumoto, Y 2018, 'Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core' Paper presented at 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) , Novosibirsk, Russian Federation, 01/10/2018 - 03/10/2018, pp. 25-28.

Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core. / Okulov, Valery; Fukumoto, Y.

2018. 25-28 Paper presented at 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) , Novosibirsk, Russian Federation.

Research output: Contribution to conferencePaperResearchpeer-review

TY - CONF

T1 - Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core

AU - Okulov, Valery

AU - Fukumoto, Y.

PY - 2018

Y1 - 2018

N2 - Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated for the Euler equations. Using the method of matched asymptotic expansions in a small parameter ߳, the ratio of core radius to curvature radius, the velocity of a vortex tube is derived to ܱ(߳ଷ), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. Some detailed analysis is made of motion of a helical vortex tube.

AB - Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated for the Euler equations. Using the method of matched asymptotic expansions in a small parameter ߳, the ratio of core radius to curvature radius, the velocity of a vortex tube is derived to ܱ(߳ଷ), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. Some detailed analysis is made of motion of a helical vortex tube.

M3 - Paper

SP - 25

EP - 28

ER -

Okulov V, Fukumoto Y. Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core. 2018. Paper presented at 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) , Novosibirsk, Russian Federation.