Near-neutral centre-modes as inviscid perturbations to a trailing line vortex

DOI10.1017/S0022112085002154zbMath0586.76093MaRDI QIDQ3713682

Susan N. Brown, Keith Stewartson

Publication date: 1985

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

zbMATH Keywords

azimuthal wavenumberswirl parametercolumnar trailing line vortexInviscid linear perturbationsnear- neutral modesring modes

Mathematics Subject Classification ID

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

Related Items

Non-normal dynamics of time-evolving co-rotating vortex pairs, On the inviscid neutral curve of rotating Poiseuille pipe flow, Evolution of isolated turbulent trailing vortices, Optimal suppression of flow perturbations using boundary control, Large-Reynolds-number asymptotic analysis of viscous centre modes in vortices, 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, 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, Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches, Helicity effects on inviscid instability in Batchelor vortices, On the structure of a three-dimensional compressible vortex, Bending waves on inviscid columnar vortices, External turbulence-induced axial flow and instability in a vortex, Transient growth in vortices with axial flow, Global linear stability of the non-parallel Batchelor vortex, On the viscous modes of instability of a trailing line vortex, Optimal growth of the Batchelor vortex viscous modes, The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex, Polarized vortex reconnection, A unified criterion for the centrifugal instabilities of vortices and swirling jets

Cites Work

• The stability of a trailing line vortex. Part 1. Inviscid theory
• On the instability of rapidly rotating shear flows to non-axisymmetric disturbances
• On the hydrodynamic and hydromagnetic stability of swirling flows