Effects of axial flow on the stability of a helical vortex tube

Y. Hattori, Y. Fukumoto

研究成果: Article査読

10 被引用数 (Scopus)

抄録

The effects of axial flow on the stability of a helical vortex tube are studied by short-wavelength stability analysis. By axial flow we mean the flow along the helical tube inside the vortex core. At the leading order the base flow is set to the Rankine vortex with uniform velocity along the helical tube. The exponential growth rate is obtained analytically as the magnitude of the sum of three O(ε) and five O(ε2) complex numbers, where ε is the ratio of the core to curvature radius. At O(ε) the effect of axial flow can be regarded as the effect of the Coriolis force; as a result the instability is the superposition of the curvature instability and the Coriolis or precessional instability since the two instabilities occur under the same resonance condition. At O(ε2) combined effects of the axial flow and the torsion appear; the maximum growth rate increases when the period of particle motion increases.

本文言語English
論文番号054102
ジャーナルPhysics of Fluids
24
5
DOI
出版ステータスPublished - 2012 5 1

ASJC Scopus subject areas

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

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