Analogy between a vortex-jet filament and the Kirchhoff elastic rod

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Abstract

Motion of a vortex filament with axial flow in the core, i.e. a vortex-jet filament, is governed, in the localized induction approximation, by the first two terms of the localized induction hierarchy. It is shown that permanent form of a steadily translating vortex-jet filament is identical with equilibrium form of an inextensible elastic rod of circular cross-section. A variational principle is presented for the statics of an elastic rod with respect to the director field, which manifests the origin of this analogy.

Original languageEnglish
Pages (from-to)511-520
Number of pages10
JournalFluid Dynamics Research
Volume39
Issue number7
DOIs
Publication statusPublished - Jul 1 2007

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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