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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science + Business Media B.V
About this paper
Cite this paper
Fukumoto, Y. (2008). Analogy of A Vortex-Jet Filament With The Kirchhoff Elastic Rod and Its Dynamical Extension. In: Borisov, A.V., Kozlov, V.V., Mamaev, I.S., Sokolovskiy, M.A. (eds) IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence. IUTAM Bookseries, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6744-0_7
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6744-0_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6743-3
Online ISBN: 978-1-4020-6744-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)