The inviscid stability of swirling flows: large wavenumber disturbances

DOI10.1007/BF00946755zbMath0603.76054OpenAlexW2083345182MaRDI QIDQ1082947

Peter W. Duck

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00946755

zbMATH Keywords

linear stabilityasymptotic analysislarge wave numbersaxial component of motionmodes of instabilityradially dependent inviscid swirl flowstrailing line vortex

Mathematics Subject Classification ID

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

Related Items

Viscous and inviscid spatial stability analysis of compressible swirling mixing layers, 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, The stability of a trailing-line vortex in compressible flow, Instabilities of the Type I Long’s vortex at large flow force, 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 instabilities of non-parallel self-similar axisymmetric vortex cores, On vortex/wave interactions. Part 2. Originating from axisymmetric flow with swirl, Nonparallel linear stability analysis of unconfined vortices, The dominant wave mode within a trailing line vortex, On the structure of a three-dimensional compressible 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

Cites Work

• The inviscid stability of a trailing line vortex
• A vortex in an infinite viscous fluid
• The stability of swirling flows at large Reynolds number when subjected to disturbances with large azimuthal wavenumber
• 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 axisymmetric free shear layers
• The stability of a trailing line vortex. Part 1. Inviscid theory
• On the linear inviscid stability of rotating Poiseuille flow
• The stability of a trailing line vortex. Part 2. Viscous theory
• Axial flow in trailing line vortices
• On the instability of rapidly rotating shear flows to non-axisymmetric disturbances
• On the instability of viscous flow in a rapidly rotating pipe
• On the inviscid instability of certain two-dimensional vortex-type flows
• Stability of a potential vortex with a non-rotating and rigid-body rotating top-hat jet core
• On the hydrodynamic and hydromagnetic stability of swirling flows
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