A new class of instabilities of rotating flows

DOI10.1016/S0997-7546(98)80015-0zbMath0929.76046OpenAlexW1991774596MaRDI QIDQ1285951

T. Miyazaki, Alexander Lipton-Lifschitz, Bruce R. Fabijonas

Publication date: 11 January 2000

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7546(98)80015-0

zbMATH Keywords

linearized problemcoordinate transformationtransition to turbulenceglobal instabilitieslocal instabilitieslocal small scale perturbationssum of linear flow and transverse standing wavewavelength stability method

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (2)

Craik–Criminale solutions and elliptic instability in nonlinear-reactive closure models for turbulence ⋮ Stability of the Rankine vortex in a multipolar strain field

Cites Work

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• On stability for symmetric hyperbolic systems. I
• On the instability of certain motions of an ideal incompressible fluid
• Three-Dimensional Instabilities of Standing Waves in Rotating Fluids
• Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equations
• The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions
• Three-dimensional stability of elliptical vortex columns in external strain flows
• Local stability conditions in fluid dynamics
• A new class of instabilities of rotating fluids
• Stability analysis and large-eddy simulation of rotating turbulence with organized eddies

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