On the stability of ring modes in a trailing line vortex: the upper neutral points

DOI10.1017/S0022112085002142zbMath0586.76092MaRDI QIDQ3713681

Keith Stewartson, Kenneth Capell

Publication date: 1985

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

zbMATH Keywords

eigenvaluesnormal-mode analysisaxial wavenumberinviscid near-neutral stabilitynear-neutral modestimewise-stability problemtrailing-vortex flow

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Hydrodynamic stability (76E99)

Related Items

The inviscid stability of swirling flows: large wavenumber disturbances, 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, On the stability of a columnar vortex to disturbances with large azimuthal wavenumber: the lower neutral points, Viscous and inviscid centre modes in the linear stability of vortices: the vicinity of the neutral curves, Nonparallel linear stability analysis of unconfined 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, Stability of Long's vortex at large flow force, A unified criterion for the centrifugal instabilities of vortices and swirling jets

Cites Work

• The inviscid stability of a trailing line 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