The stably stratified Taylor–Couette flow is always unstable except for solid-body rotation

DOI10.1017/jfm.2013.186zbMath1287.76107OpenAlexW2335102573MaRDI QIDQ5417423

Junho Park, Paul Billant

Publication date: 21 May 2014

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

Full work available at URL: https://doi.org/10.1017/jfm.2013.186

zbMATH Keywords

instabilityvortex flowsstratified flows

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Stratification effects in viscous fluids (76D50) Rotation in hydrodynamic stability (76E07)

Related Items (11)

The stratorotational instability of Taylor-Couette flows with moderate Reynolds numbers ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Experiments and long-term high-performance computations on amplitude modulations of strato-rotational flows ⋮ The linear instability of the stratified plane Couette flow ⋮ On the instabilities of a potential vortex with a free surface ⋮ Viscous and inviscid strato-rotational instability ⋮ Instabilities and transient growth of the stratified Taylor–Couette flow in a Rayleigh-unstable regime ⋮ Stratified Taylor–Couette flow: nonlinear dynamics ⋮ Strato-rotational instability without resonance ⋮ Impact of centrifugal buoyancy on strato-rotational instability ⋮ Competition between the centrifugal and strato-rotational instabilities in the stratified Taylor–Couette flow

Cites Work

• Unnamed Item
• Radiative instability of an anticyclonic vortex in a stratified rotating fluid
• The strato-rotational instability of Taylor–Couette and Keplerian flows
• Radiative instability of the flow around a rotating cylinder in a stratified fluid
• Transient energy growth for the Lamb–Oseen vortex
• Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data
• Over-reflection and shear instability in a shallow-water model
• Inertial nonlinear equilibration of equatorial flows
• Stability and bifurcations in stratified Taylor–Couette flow
• Viscous instabilities in trailing vortices at large swirl numbers
• Radiative instability in stratified vortices
• Waves on a columnar vortex in a strongly stratified fluid
• Stability of density-stratified viscous Taylor-Couette flows
• An asymptotic description of vortex Kelvin modes
• Generalized Rayleigh criterion for non-axisymmetric centrifugal instabilities
• Unbalanced instabilities of rapidly rotating stratified shear flows

This page was built for publication: The stably stratified Taylor–Couette flow is always unstable except for solid-body rotation