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

Research output: Contribution to journalArticle

3 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 languageEnglish
Pages (from-to)511-520
Number of pages10
JournalFluid Dynamics Research
Volume39
Issue number7
DOIs
Publication statusPublished - Jul 1 2007

Fingerprint

filaments
induction
Vortex flow
rods
vortices
vortex filaments
axial flow
translating
variational principles
hierarchies
Axial flow
cross sections
approximation

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 journalArticle

@article{f982d0e8fb8b43979d8d19d56c35aa2a,
title = "Analogy between a vortex-jet filament and the Kirchhoff elastic rod",
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.",
author = "Yasuhide Fukumoto",
year = "2007",
month = "7",
day = "1",
doi = "10.1016/j.fluiddyn.2006.12.004",
language = "English",
volume = "39",
pages = "511--520",
journal = "Fluid Dynamics Research",
issn = "0169-5983",
publisher = "IOP Publishing Ltd.",
number = "7",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=34250674162&partnerID=8YFLogxK

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 -