Short-wavelength stability analysis of a helical vortex tube

DOI10.1063/1.3054150zbMath1183.76241OpenAlexW2023845316MaRDI QIDQ5304367

Yasuhide Fukumoto, Yuji Hattori

Publication date: 18 March 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3054150

zbMATH Keywords

perturbation theoryvorticesflow instability

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (9)

The instability of a helical vortex filament under a free surface ⋮ Modal stability analysis of a helical vortex tube with axial flow ⋮ Curvature instability of a curved Batchelor vortex ⋮ Short-wave stability of a helical vortex tube: The effect of torsion on the curvature instability ⋮ Internal structure of vortex rings and helical vortices ⋮ The self-induced motion of a helical vortex ⋮ Numerical stability analysis of a vortex ring with swirl ⋮ Helical contour dynamics ⋮ Erratum: “Short-wavelength stability analysis of a helical vortex tube” [Phys. Fluids 21, 014104 (2009)]

Cites Work

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• Curvature instability of a vortex ring
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• On the curvature and torsion of an isolated vortex filament
• The stability of a helical vortex filament
• Three-dimensional distortions of a vortex filament with axial velocity
• Self-induced motion and asymptotic expansion of the velocity field in the vicinity of a helical vortex filament

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