| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 775182 | Fluid Dynamics Research | 2007 | 10 Pages |
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.
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Authors
Yasuhide Fukumoto,