Optimal growth of the Batchelor vortex viscous modes

DOI10.1017/S0022112007008634zbMath1128.76018MaRDI QIDQ5440088

C. J. Heaton

Publication date: 31 January 2008

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

zbMATH Keywords

Tollmien-Schlichting wavesinstability modesinviscid transients

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Viscous vortex flows (76D17)

Related Items

Transient growth associated with continuous spectra of the Batchelor vortex ⋮ Non-normal dynamics of time-evolving co-rotating vortex pairs ⋮ Transient energy growth of a swirling jet with vortex breakdown ⋮ Flow control of weakly non-parallel flows: application to trailing vortices ⋮ Optimal linear growth in spiral Poiseuille flow ⋮ Optimal response in the Lamb-Oseen vortex ⋮ Global linear stability of the non-parallel Batchelor vortex ⋮ 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 ⋮ On the characteristics and mechanism of perturbation modes with asymptotic growth in trailing vortices ⋮ Linearized oscillations of a vortex column: the singular eigenfunctions

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