Wrap, tilt and stretch of vorticity lines around a strong thin straight vortex tube in a simple shear flow

Genta Kawahara, Shigeo Kida, Mitsuru Tanaka, Shinichiro Yanase

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The mechanism of wrap, tilt and stretch of vorticity lines around a strong thin straight vortex tube in a simple shear flow is analytically investigated. An asymptotic expressions for the vorticity field is obtained at a large Reynolds number and during the initial time S t≪1 of evolution as well as S t≪(Γ/ν)1/2. The asymptotic solutions are expected to be closely related to the flow structures around intense vortex tubes observed in various kinds of turbulence such as helical winding of vorticity lines around a vortex tube, the dominance of cyclonic vortex tubes, the appearance of opposite-signed vorticity, and the zig-zag arrangement of streamwise vortices in homogeneous isotropic turbulence, shear turbulence and near-wall turbulence.

Original languageEnglish
Pages (from-to)115-162
Number of pages48
JournalJournal of Fluid Mechanics
Volume353
DOIs
Publication statusPublished - Jan 1 1997
Externally publishedYes

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vortex tubes
wrap
Shear flow
Vorticity
shear flow
vorticity
Vortex flow
Turbulence
turbulence
helical windings
homogeneous turbulence
isotropic turbulence
Reynolds number
Flow structure
vortices
shear

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Wrap, tilt and stretch of vorticity lines around a strong thin straight vortex tube in a simple shear flow. / Kawahara, Genta; Kida, Shigeo; Tanaka, Mitsuru; Yanase, Shinichiro.

In: Journal of Fluid Mechanics, Vol. 353, 01.01.1997, p. 115-162.

Research output: Contribution to journalArticle

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