Short-wavelength stability analysis of a helical vortex tube?

Y. Hattori, Yasuhide Fukumoto

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number014104
JournalPhysics of Fluids
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 1 2009

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vortex tubes
curvature
torsion
vortex rings
wavelengths
base flow
translational motion
perturbation
radii
expansion
symmetry

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Short-wavelength stability analysis of a helical vortex tube? / Hattori, Y.; Fukumoto, Yasuhide.

In: Physics of Fluids, Vol. 21, No. 1, 014104, 01.01.2009.

Research output: Contribution to journalArticle

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