A note on the effects of viscosity on the stability of a trailing-line vortex

DOI10.1017/S0022112092000405zbMath0766.76044MaRDI QIDQ4033442

Peter W. Duck, Mehdi R. Khorrami

Publication date: 16 May 1993

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

zbMATH Keywords

Batchelor vortexasymptotic techniquesdestabilization by viscositysmall growth rates at large Reynolds numbers

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Hydrodynamic stability (76E99)

Related Items (8)

Viscous and inviscid spatial stability analysis of compressible swirling mixing layers ⋮ On the downstream development and breakup of systems of trailing-line vortices ⋮ Instabilities of the Type I Long’s vortex at large flow force ⋮ Nonlinear mode selection in a model of trailing line vortices ⋮ Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches ⋮ Direct numerical simulations of the Batchelor trailing vortex by a spectral method ⋮ The effects of viscosity on the stability of a trailing-line vortex in compressible flow ⋮ The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex

Cites Work

• Differential eigenvalue problems in which the parameter appears nonlinearly
• The inviscid stability of swirling flows: large wavenumber disturbances
• Application of spectral collocation techniques to the stability of swirling flows
• Bending waves on inviscid columnar vortices
• 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
• Near-neutral centre-modes as inviscid perturbations to a trailing line vortex
• On the stability of a columnar vortex to disturbances with large azimuthal wavenumber: the lower neutral points
• The stability of a trailing line vortex. Part 1. Inviscid theory
• The stability of a trailing line vortex. Part 2. Viscous theory
• Axial flow in trailing line vortices

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