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

Yasuhide Fukumoto

doi:10.1016/j.fluiddyn.2006.12.004

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

Yasuhide Fukumoto

Division of Applied Mathematics

Research output: Contribution to journal › Article

4 Citations (Scopus)

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 language	English
Pages (from-to)	511-520
Number of pages	10
Journal	Fluid Dynamics Research
Volume	39
Issue number	7
DOIs	https://doi.org/10.1016/j.fluiddyn.2006.12.004
Publication status	Published - Jul 1 2007

All Science Journal Classification (ASJC) codes

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

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10.1016/j.fluiddyn.2006.12.004

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Fukumoto, Y. (2007). Analogy between a vortex-jet filament and the Kirchhoff elastic rod. Fluid Dynamics Research, 39(7), 511-520. https://doi.org/10.1016/j.fluiddyn.2006.12.004

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