On the stability of a columnar vortex to disturbances with large azimuthal wavenumber: the lower neutral points

DOI10.1017/S002211208700137XzbMath0634.76057MaRDI QIDQ3773594

Keith Stewartson, Sidney Leibovich

Publication date: 1987

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

zbMATH Keywords

asymptotic expansionmarginal stabilityinviscid instabilityaxially symmetric swirling fluid motioncolumnar trailing-line vortexneutral conditions

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30)

Related Items

On the downstream development and breakup of systems of trailing-line vortices, Nonaxisymmetric instability in slowly swirling jet flows, Non-parallel effects in the instability of Long's vortex, Viscous and inviscid instabilities of a trailing vortex, A note on the effects of viscosity on the stability of a trailing-line vortex, Viscous and inviscid centre modes in the linear stability of vortices: the vicinity of the neutral curves, Nonlinear mode selection in a model of trailing line vortices, The dominant wave mode within a trailing line vortex, On the viscous modes of instability of a trailing line vortex, The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex, Plumes in rotating fluid and their transformation into tornados, Stability of Long's vortex at large flow force, A unified criterion for the centrifugal instabilities of vortices and swirling jets

Cites Work

• A note on the stability of columnar vortices
• A sufficient condition for the instability of columnar vortices
• On the stability of ring modes in a trailing line vortex: the upper neutral points
• The inviscid stability of Long’s vortex
• The stability of a trailing line vortex. Part 1. Inviscid theory
• Axial flow in trailing line vortices
• On the hydrodynamic and hydromagnetic stability of swirling flows