Vortex ring eigen-oscillations as a source of sound

DOI10.1017/S0022112097005363zbMath0895.76012OpenAlexW2139682421MaRDI QIDQ4361882

V. K. Kopiev, S. A. Chernyshev

Publication date: 2 September 1998

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

Full work available at URL: https://doi.org/10.1017/s0022112097005363

zbMATH Keywords

system of algebraic equationsBiot-Savart integraleigen-frequencesexpansionin eigenfunctions

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydro- and aero-acoustics (76Q05)

Related Items (6)

Steady vortex ring with isochronous flow in the vortex core ⋮ Development of initial perturbations in the problem of motion of a cylinder in circulation flow ⋮ Basic displacements in the problem of core perturbations of a thin isochronous vortex ring ⋮ Axial core-variations of axisymmetric shape on a curved slender vortex filament with a similar, Rankine, or bubble core ⋮ New instability of a thin vortex ring in an ideal fluid ⋮ Linearized oscillations of a vortex column: the singular eigenfunctions

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