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Effect of pitch on nonlinear dynamics of helical vortex disturbed by long-wave instability

Published online by Cambridge University Press:  20 August 2024

Yuji Hattori Open the ORCID record for Yuji Hattori [Opens in a new window]  and
Akihiro Hirano
Yuji Hattori*
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan
Akihiro Hirano
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
*
†Email address for correspondence: hattori@ifs.tohoku.ac.jp
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Abstract

The nonlinear dynamics of a helical vortex disturbed by a long-wave-instability mode is studied by direct numerical simulation. Vortex reconnection or self-reconnection of the helical vortex is shown to play a crucial role depending on the pitch of the helical vortex. For the larger pitch, a vortex ring is created after the vortex reconnection; it detaches from the remaining helical vortex, whose pitch is doubled. A vortex ring is also created for the smaller pitch; however, it forms a linked system with the remaining vortex. The topological constraint due to this linkage forces strong interaction between the different parts of the helical vortex, leading to turbulent transition.

JFM classification

Vortex Flows: Vortex dynamics Vortex Flows: Vortex instability Turbulent Flows: Turbulent transition
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 991 , 25 July 2024 , R2
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Hattori and Hirano supplementary movie 1

Time evolution of helical vortex with L/R = 0.3.
Download Hattori and Hirano supplementary movie 1(File)
File 4.3 MB
Supplementary material: File

Hattori and Hirano supplementary movie 2

Time evolution of helical vortex with L/R = 0.2.
Download Hattori and Hirano supplementary movie 2(File)
File 9.3 MB