Kinematic variational principle for motion of vortex rings

DOI10.1016/j.physd.2008.02.003zbMath1143.76406OpenAlexW1970529586MaRDI QIDQ942815

Yasuhide Fukumoto, Henry Keith Moffatt

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.02.003

zbMATH Keywords

variational principlevortex ringiso-vortical sheettranslation velocity

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (9)

A model for confined vortex rings with elliptical-core vorticity distribution ⋮ Mechanism and modelling of the secondary baroclinic vorticity in the Richtmyer–Meshkov instability ⋮ A framework for linear stability analysis of finite-area vortices ⋮ Global time evolution of viscous vortex rings ⋮ Dynamics of vortex rings and spray-induced vortex ring-like structures ⋮ Linear stability of Hill’s vortex to axisymmetric perturbations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations ⋮ Determining the stability of steady two-dimensional flows through imperfect velocity-impulse diagrams ⋮ Existence of vortex rings in Beltrami flows

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