The viscous stability analysis of Long’s vortex

DOI10.1063/1.868152zbMath0829.76038OpenAlexW1976921283MaRDI QIDQ4841932

Prakash Trivedi, Mehdi R. Khorrami

Publication date: 17 January 1996

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868152

zbMATH Keywords

positive azimuthal wave numbersmall flow forcestruncation of infinite radial domain

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrodynamic stability (76E99)

Related Items

Viscous and inviscid spatial stability analysis of compressible swirling mixing layers ⋮ Instabilities of the Type I Long’s vortex at large flow force ⋮ The development of Long's vortex ⋮ Nonparallel linear stability analysis of Long’s vortex ⋮ Viscous and inviscid instabilities of non-parallel self-similar axisymmetric vortex cores ⋮ Solution breakdown in a family of self-similar nearly inviscid axisymmetric vortices ⋮ Nonparallel linear stability analysis of unconfined vortices ⋮ Hysteresis in swirling jets

Cites Work

• The inviscid stability of a trailing line vortex
• A vortex in an infinite viscous fluid
• A sufficient condition for the instability of columnar vortices
• The inviscid stability of Long’s vortex
• Non-parallel effects in the instability of Long's vortex
• Viscous and inviscid instabilities of a trailing vortex
• Stability of Long's vortex at large flow force
• The stability of a trailing line vortex. Part 2. Viscous theory
• A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows
• Analysis of the stability of axisymmetric jets
• On the viscous modes of instability of a trailing line vortex

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