Instability and wave over-reflection in stably stratified shear flow

DOI10.1017/S0022112085000921zbMath0555.76043MaRDI QIDQ3220228

Richard S. Lindzen, John W. Barker

Publication date: 1984

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

zbMATH Keywords

stratified shear flowsinstability of parallel shear flowsover-reflection of internal waves at a critical levelscattering of steady plane wavessecond wave region

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (24)

Baroclinic critical layer in a viscous stratified boundary layer flow on an undulated tilted surface ⋮ 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 ⋮ Inertia-gravity waves beyond the inertial latitude. Part 1. Inviscid singular focusing ⋮ Beyond ray tracing for internal waves. I. Small-amplitude anelastic waves ⋮ Radiative instability in stratified vortices ⋮ Waves on a columnar vortex in a strongly stratified fluid ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Causality and the stability of parallel flow ⋮ Over-reflection and shear instability in a shallow-water model ⋮ Over-reflection of acoustic waves by supersonic exponential boundary layer flows ⋮ A transition from Kelvin–Helmholtz instabilities to propagating wave instabilities ⋮ On the instabilities of a potential vortex with a free surface ⋮ Multiple instability of layered stratified plane Couette flow ⋮ Instability of a boundary layer flow on a vertical wall in a stably stratified fluid ⋮ Internal wave transmission in nonuniform flows ⋮ Viscous destabilization of stratified shear flow forRi>1/4 ⋮ Instability of sheared density interfaces ⋮ A study of singular modes associated with over-reflection and related phenomena ⋮ Instability of a stratified boundary layer and its coupling with internal gravity waves. Part 2. Coupling with internal gravity waves via topography ⋮ Temporal instability modes of supersonic round jets ⋮ Fractal sets of neutral curves for stably stratified plane Couette flow ⋮ Vorticity inversion and action-at-a-distance instability in stably stratified shear flow ⋮ Radiative instability of the flow around a rotating cylinder in a stratified fluid

Cites Work

• Stability of an Idealized Atmosphere. I. Discussion of Results
• Note on a paper of John W. Miles
• On the algebraic decay of disturbances in a stratified linear shear flow
• The critical layer for internal gravity waves in a shear flow
• Reflexion and stability of waves in stably stratified fluids with shear flow: a numerical study
• On the stability of heterogeneous shear flows

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