Analogy of A Vortex-Jet Filament With The Kirchhoff Elastic Rod and Its Dynamical Extension

  • Yasuhide Fukumoto
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 6)


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.


Vortex filament axial flow localized induction hierarchy Kirchhoff elastic rod variational principle 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Yasuhide Fukumoto
    • 1
  1. 1.Graduate School of Mathematics and Space Environment Research CenterFukuokaJapan

Personalised recommendations