Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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. Permanent form of a steadily translating vortexjet filament is found to be identical with equilibrium form of a thin inextensible elastic rod of circular cross section, and, as a dynamical extension, traveling waves on an extensible rod is sought. We establish a variational principle for motion of an elastic rod with respect to material frames.

Original languageEnglish
Title of host publicationIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium
PublisherSpringer Verlag
Pages77-87
Number of pages11
ISBN (Print)9781402067433
DOIs
Publication statusPublished - 2008
EventIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Moscow, Russian Federation
Duration: Aug 25 2006Aug 30 2006

Publication series

NameSolid Mechanics and its Applications
Volume6
ISSN (Print)1875-3507

Other

OtherIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence
CountryRussian Federation
CityMoscow
Period8/25/068/30/06

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension'. Together they form a unique fingerprint.

Cite this