Viscous and inviscid instabilities of non-parallel self-similar axisymmetric vortex cores

DOI10.1017/S0022112096000948zbMath0891.76041OpenAlexW2010519096MaRDI QIDQ4354064

Ramon Fernandez-Feria

Publication date: 1 July 1998

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

Full work available at URL: https://doi.org/10.1017/s0022112096000948

zbMATH Keywords

axisymmetric Navier-Stokes equationslinear system of ordinary differential equationscontours of constant growth rate of most unstable modesLong's vortexnear-axis boundary layer approximationstaggered Chebychev spectral collocation technique

Mathematics Subject Classification ID

Hydrodynamic stability (76E99)

Related Items (6)

Viscous and inviscid spatial stability analysis of compressible swirling mixing layers ⋮ Nonparallel linear stability analysis of Long’s vortex ⋮ Thermal separation in near-axis boundary layers with intense swirl ⋮ Vortex impingement onto an axisymmetric obstacle – subcritical bifurcation to vortex breakdown ⋮ Nonparallel linear stability analysis of unconfined vortices ⋮ Interaction of an unconfined vortex with a solid surface

Cites Work

• The inviscid stability of swirling flows: large wavenumber disturbances
• The inviscid stability of a trailing line vortex
• The stability of swirling flows at large Reynolds number when subjected to disturbances with large azimuthal wavenumber
• The inviscid stability of Long’s vortex
• Hysteresis in a swirling jet as a model tornado
• Nonaxisymmetric instability in slowly swirling jet flows
• The viscous stability analysis of Long’s vortex
• Instabilities of the Type I Long’s vortex at large flow force
• A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows
• Vortex Breakdown
• Stability of Coaxial Rotating Jet and Vortex of Different Densities

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