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

Valery Okulov, Y. Fukumoto

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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

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