Viscous stability properties of a Lamb–Oseen vortex in a stratified fluid

DOI10.1017/S002211200999262XzbMath1189.76246OpenAlexW2016695078MaRDI QIDQ3570487

Xavier Riedinger, Stéphane Le Dizès, Patrice Meunier

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1017/s002211200999262x

Mathematics Subject Classification ID

Stratification effects in viscous fluids (76D50) Hydrodynamic stability (76E99) Viscous vortex flows (76D17)

Related Items (13)

Shear instability in a stratified fluid when shear and stratification are not aligned ⋮ Inviscid instability of a stably stratified compressible boundary layer on an inclined surface ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Viscous and inviscid strato-rotational instability ⋮ Instability of a boundary layer flow on a vertical wall in a stably stratified fluid ⋮ The strato-rotational instability of Taylor–Couette and Keplerian flows ⋮ Elliptic instability of a stratified fluid in a rotating cylinder ⋮ Temporal instability modes of supersonic round jets ⋮ Analogies and differences between the stability of an isolated pancake vortex and a columnar vortex in stratified fluid ⋮ Stability of an isolated pancake vortex in continuously stratified-rotating fluids ⋮ Radiative instability of the flow around a rotating cylinder in a stratified fluid ⋮ Effects of Schmidt number on the short-wavelength instabilities in stratified vortices ⋮ Radiative instability of an anticyclonic vortex in a stratified rotating fluid

Cites Work

• Non-axisymmetric instability of centrifugally stable stratified Taylor–Couette flow
• Ageostrophic instabilities of fronts in a channel in a stratified rotating fluid
• The instability of a shear layer between two parallel streams
• Viscous Critical‐Layer Analysis of Vortex Normal Modes
• Inviscid damping of asymmetries on a two-dimensional vortex
• Damping and pumping of a vortex Rossby wave in a monotonic cyclone: Critical layer stirring versus inertia–buoyancy wave emission
• Structure of a stratified tilted vortex
• The dynamical stability of differentially rotating discs with constant specific angular momentum
• Stable and unstable shear modes of rotating parallel flows in shallow water
• Physics of modes in a differentially rotating system - analysis of the shearing sheet
• Rossby-Kelvin instability: a new type of ageostrophic instability caused by a resonance between Rossby waves and gravity waves
• Axisymmetric waves on a vertical vortex in a stratified fluid
• Stability of rotating shear flows in shallow water
• Stability analysis of rotational Couette flow of stratified fluids
• The role of negative energy waves in some instabilities of parallel flows
• Acoustic destablilization of vortices
• Shear instability in shallow water
• The three-dimensional instability of a strained vortex tube revisited
• Non-axisymmetric vortices in two-dimensional flows
• Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid
• On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear
• The stability of a trailing line vortex. Part 2. Viscous theory
• The Effect of Viscosity on the Stability of Planar Vortices with Fine Structure
• Viscous instabilities in trailing vortices at large swirl numbers
• The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water
• Kelvin waves and the singular modes of the Lamb–Oseen vortex
• Elliptic and zigzag instabilities on co-rotating vertical vortices in a stratified fluid
• The Rossby-inertia-buoyancy instability in baroclinic vortices
• Radiative instability in stratified vortices
• Waves on a columnar vortex in a strongly stratified fluid
• Elliptic instability of a co-rotating vortex pair
• Tilt-induced instability of a stratified vortex
• A new convective instability of the rotating-disk boundary layer with growth normal to the disk
• An asymptotic description of vortex Kelvin modes
• Generalized Rayleigh criterion for non-axisymmetric centrifugal instabilities
• Unbalanced instabilities of rapidly rotating stratified shear flows

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