Large-Reynolds-number asymptotic analysis of viscous centre modes in vortices

DOI10.1017/S002211200700660XzbMath1123.76014OpenAlexW2109049822MaRDI QIDQ5308065

Stéphane Le Dizès, David Fabre

Publication date: 26 September 2007

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

Full work available at URL: https://doi.org/10.1017/s002211200700660x

zbMATH Keywords

multi-layer structureBatchelor vortexmultiple-scale matching

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscous vortex flows (76D17)

Related Items

Non-normal dynamics of time-evolving co-rotating vortex pairs, On the inviscid neutral curve of rotating Poiseuille pipe flow, Three-dimensional transitions in a swirling jet impinging against a solid wall at moderate Reynolds numbers, Curvature instability of a curved Batchelor vortex, 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, Linear instability of annular Poiseuille flow, DNS of flows with helical symmetry, 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, 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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