On the viscous modes of instability of a trailing line vortex

DOI10.1017/S0022112091002021zbMath0721.76032MaRDI QIDQ5753667

Mehdi R. Khorrami

Publication date: 1991

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

zbMATH Keywords

trailing line vortexChebyshev spectral collocation techniqueviscous linear stability analysis

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

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Continuous spectra of the Batchelor vortex ⋮ Transient growth associated with continuous spectra of the Batchelor vortex ⋮ Non-normal dynamics of time-evolving co-rotating vortex pairs ⋮ Viscous and inviscid spatial stability analysis of compressible swirling mixing layers ⋮ Large-Reynolds-number asymptotic analysis of viscous centre modes in vortices ⋮ A spectral method for unbounded domains ⋮ On the downstream development and breakup of systems of trailing-line vortices ⋮ The viscous stability analysis of Long’s vortex ⋮ Linear stability analysis of wake vortices by a spectral method using mapped Legendre functions ⋮ Transient lift force on a blade during cutting of a vortex with non-zero axial flow ⋮ Nonlinear mode selection in a model of trailing line vortices ⋮ Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches ⋮ Absolute and convective instability character of slender viscous vortices ⋮ Helicity effects on inviscid instability in Batchelor vortices ⋮ The dominant wave mode within a trailing line vortex ⋮ Breaking of rotational symmetry in a swirling jet experiment ⋮ A study of eigenvalue sensitivity for hydrodynamic stability operators ⋮ DNS of flows with helical symmetry ⋮ Transient growth in vortices with axial flow ⋮ Global linear stability of the non-parallel Batchelor vortex ⋮ Direct numerical simulations of the Batchelor trailing vortex by a spectral method ⋮ The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow ⋮ Optimal growth of the Batchelor vortex viscous modes ⋮ Numerical simulation of vortices with axial velocity deficits ⋮ The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex ⋮ Active attenuation of a trailing vortex inspired by a parabolized stability analysis ⋮ Mode selection in trailing vortices: harmonic response of the non-parallel Batchelor vortex ⋮ Elliptical instability of the Moore–Saffman model for a trailing wingtip vortex ⋮ A parallel stability analysis of a trailing vortex wake ⋮ Non-modal analysis of coaxial jets ⋮ On the characteristics and mechanism of perturbation modes with asymptotic growth in trailing vortices ⋮ Linearized oscillations of a vortex column: the singular eigenfunctions ⋮ A unified criterion for the centrifugal instabilities of vortices and swirling jets

Cites Work

• The inviscid stability of swirling flows: large wavenumber disturbances
• Application of spectral collocation techniques to the stability of swirling flows
• 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 inviscid stability of Long’s vortex
• 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
• Analysis of the stability of axisymmetric jets

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