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 | |
| Publication status | Published - Jul 1 2007 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
Cite this
Analogy between a vortex-jet filament and the Kirchhoff elastic rod. / Fukumoto, Yasuhide.
In: Fluid Dynamics Research, Vol. 39, No. 7, 01.07.2007, p. 511-520.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Analogy between a vortex-jet filament and the Kirchhoff elastic rod
AU - Fukumoto, Yasuhide
PY - 2007/7/1
Y1 - 2007/7/1
N2 - 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.
AB - 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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UR - http://www.scopus.com/inward/citedby.url?scp=34250674162&partnerID=8YFLogxK
U2 - 10.1016/j.fluiddyn.2006.12.004
DO - 10.1016/j.fluiddyn.2006.12.004
M3 - Article
AN - SCOPUS:34250674162
VL - 39
SP - 511
EP - 520
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
SN - 0169-5983
IS - 7
ER -