Quasi-equilibrium states for helical vortices with swirl

DOI10.1017/jfm.2022.500zbMath1505.76027OpenAlexW4289705415MaRDI QIDQ5087743

Yonghui Xu, Maurice Rossi, Ivan Delbende

Publication date: 1 July 2022

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2022.500

zbMATH Keywords

Navier-Stokes equationsEuler equationscirculationasymptotic theoryhelical pitchhelix radiusvortex core size

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscous vortex flows (76D17)

Cites Work

• Unnamed Item
• DNS of flows with helical symmetry
• Internal structure of vortex rings and helical vortices
• Modal stability analysis of a helical vortex tube with axial flow
• The velocity field induced by a helical vortex tube
• The velocity field induced by a helical vortex filament
• Viscous and inviscid instabilities of a trailing vortex
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• The effect of torsion on the motion of a helical vortex filament
• The stability of a trailing line vortex. Part 1. Inviscid theory
• Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
• Local and global pairing instabilities of two interlaced helical vortices
• On the stability of multiple helical vortices
• The structure of the vortices in freely decaying two-dimensional turbulence
• Viscous interactions of two co-rotating vortices before merging
• Rapid relaxation of an axisymmetric vortex
• The self-induced motion of a helical vortex
• Curvature instability of a curved Batchelor vortex
• Axial flow in trailing line vortices
• The motion of a vortex filament with axial flow
• 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

This page was built for publication: Quasi-equilibrium states for helical vortices with swirl