Long-wave instability of a vortex ring

DOI10.1007/BF02078201zbMath0858.76036OpenAlexW2090933063MaRDI QIDQ1925301

V. F. Kop'ev, S. A. Chernyshev

Publication date: 15 December 1996

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02078201

zbMATH Keywords

energy balance equationnegative energypositive energybarrel-shaped vibrationscurvature of vortex ringsmooth vorticity profile

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)

Related Items (2)

Axial core-variations of axisymmetric shape on a curved slender vortex filament with a similar, Rankine, or bubble core ⋮ Optimal transient growth on a vortex ring and its transition via cascade of ringlets

Cites Work

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• Small disturbances of steady vortices
• On the generation of surface waves by shear flows
• The velocity of a vortex ring with a thin core of elliptical cross section
• On steady vortex rings of small cross-section in an ideal fluid

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