Centre modes in inviscid swirling flows and their application to the stability of the Batchelor vortex
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Publication:3438180
DOI10.1017/S0022112006004447zbMath1124.76009MaRDI QIDQ3438180
Publication date: 15 May 2007
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Related Items (23)
Continuous spectra of the Batchelor vortex ⋮ Stability characteristics of a counter-rotating unequal-strength Batchelor vortex pair ⋮ Transient growth associated with continuous spectra of the Batchelor vortex ⋮ 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 ⋮ Three-dimensional transitions in a swirling jet impinging against a solid wall at moderate Reynolds numbers ⋮ Optimal suppression of flow perturbations using boundary control ⋮ Large-Reynolds-number asymptotic analysis of viscous centre modes in vortices ⋮ Linear stability of the Moore-Saffman model for a trailing wingtip vortex ⋮ Linear stability analysis of wake vortices by a spectral method using mapped Legendre functions ⋮ 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 ⋮ Helicity effects on inviscid instability in Batchelor vortices ⋮ Self-limiting and regenerative dynamics of perturbation growth on a vortex column ⋮ Transient growth in vortices with axial flow ⋮ Global linear stability of the non-parallel Batchelor vortex ⋮ Viscous ring modes in vortices with axial jet ⋮ Optimal growth of the Batchelor vortex viscous modes ⋮ Elliptical instability of the Moore–Saffman model for a trailing wingtip vortex ⋮ 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
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