ENTANGLEMENT OF TWO VORTEX FILAMENTS.

Ryuji Takaki, A. K.M.F. Hussain

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The motions of two co-rotating vortex filaments in an infinite fluid are analysed in order to model the progress of their entanglement and the evolution of three-dimensionality in turbulent shear flows. An equation governing motions of the two filaments is derived on the assumption that the filaments have small curvatures and thin cores. The equation consists of terms representing self-induction and mutal induction expressed via the Biot-Savart law. A particular solution for large deformations of the filaments into a double helix is obtained.

Original languageEnglish
Title of host publicationUnknown Host Publication Title
EditorsTomomasa Tatsumi
PublisherNorth-Holland
Pages245-249
Number of pages5
ISBN (Print)0444875948
StatePublished - 1984

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