Short-wavelength stability analysis of a helical vortex tube?

Y. Hattori, Y. Fukumoto

研究成果: Contribution to journalArticle査読

19 被引用数 (Scopus)

抄録

The stability of a helical vortex tube is studied by short-wavelength stability analysis. The ratio € of the core to the curvature radius is assumed to be small but finite. The base flow of the helical vortex tube is obtained by perturbation expansion which exhibits rotational and translational motions as a whole. It is shown that the helical vortex tube is subject to curvature instability, which was first found for the vortex ring. The growth rates of the curvature instability are obtained both analytically and numerically. The effects of torsion and rotation are investigated. Both torsion and rotation appear as second-order correction to the growth rate of the curvature instability which is first order in €. They break symmetry so that the maximal growth rates are larger than the vortex ring of which all the parameters but torsion and rotation are the same.

本文言語英語
論文番号014104
ジャーナルPhysics of Fluids
21
1
DOI
出版ステータス出版済み - 1 1 2009

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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