On Integral Invariants for Vortex Motion under the Localized Induction Approximation

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Abstract

Integral invariants associated with the motion of a vortex filament in an incompressible inviscid fluid are explored, under the assumption of localized induction. It is shown that the moment of the fluid impulse and the helicity are both invariant with respect to time. A sufficient condition for a closed filament to be unknotted is presented by using the concept of the total curvature of a closed curve.

Original languageEnglish
Pages (from-to)4207-4209
Number of pages3
JournalJournal of the Physical Society of Japan
Volume56
Issue number12
DOIs
Publication statusPublished - Jan 1 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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