The inviscid stability of a trailing line vortex

DOI10.1007/BF01590863zbMath0451.76019MaRDI QIDQ1148160

M. R. Foster, Peter W. Duck

Publication date: 1980

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

swirling flowstrailing line vortexinviscid stabilitysmall non- axisymmetric disturbances

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Applications to the sciences (65Z05) Hydrodynamic stability (76E99)

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The inviscid stability of swirling flows: large wavenumber disturbances, On the stability of ring modes in a trailing line vortex: the upper neutral points, Viscous and inviscid spatial stability analysis of compressible swirling mixing layers, Stability analysis of slowly divergent swirling flow. I: Theory, On the downstream development and breakup of systems of trailing-line vortices, Nonaxisymmetric instability in slowly swirling jet flows, The viscous stability analysis of Long’s vortex, Non-parallel effects in the instability of Long's vortex, The stability of a trailing-line vortex in compressible flow, Linear stability of the Moore-Saffman model for a trailing wingtip vortex, Instabilities of the Type I Long’s vortex at large flow force, Viscous and inviscid instabilities of a trailing vortex, Flow control of weakly non-parallel flows: application to trailing vortices, Inviscid instability of compressible swirling mixing layers, Viscous and inviscid instabilities of non-parallel self-similar axisymmetric vortex cores, Helicity effects on inviscid instability in Batchelor vortices, The dominant wave mode within a trailing line vortex, Transient growth in vortices with axial flow, Numerical simulation of vortices with axial velocity deficits, 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, Spatial instability of a swirling flow, Investigation of the stability for inviscid compressible swirling flow between concentric cylinders, 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
• Axial flow in trailing line vortices
• On the instability of rapidly rotating shear flows to non-axisymmetric disturbances