Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy

研究成果: Contribution to journalArticle査読

21 被引用数 (Scopus)

抄録

Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated under the localized induction approximation for the Euler equations. Using the method of matched asymptotic expansions in a small parameter e, the ratio of core radius to curvature radius, the velocity of a vortex filament is derived to O(∈3), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. It is found that there is an integrable line in the core whose evolution obeys a summation of the first, and third terms of the localized induction hierarchy.

本文言語英語
ページ(範囲)167-171
ページ数5
ジャーナルEuropean Physical Journal B
29
2
DOI
出版ステータス出版済み - 9 2 2002

All Science Journal Classification (ASJC) codes

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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