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Stability of a compressible two-dimensional vortex under a three-dimensional perturbation

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Publication:3328985
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DOI10.1098/RSPA.1984.0032zbMath0541.76028OpenAlexW2064202364MaRDI QIDQ3328985

E. G. Broadbent

Publication date: 1984

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1984.0032


zbMATH Keywords

three-dimensional perturbationsdiscrete set of eigenvaluescritical wavelengthMach number of the vortextwo-dimensional disturbancetwo-dimensional Rankine vortex


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Parallel shear flows in hydrodynamic stability (76E05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)


Related Items (2)

Acoustic excitation of vortex instabilities ⋮ Influence of initial conditions on compressible vorticity dynamics







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