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

Y. Hattori, Y. Fukumoto

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number054102
JournalPhysics of Fluids
Volume24
Issue number5
DOIs
Publication statusPublished - May 1 2012

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'Effects of axial flow on the stability of a helical vortex tube'. Together they form a unique fingerprint.

  • Cite this