Multiple linear instability of layered stratified shear flow

DOI10.1017/S0022112094003320zbMath0858.76029MaRDI QIDQ4304689

Colm-cille P. Caulfield

Publication date: 31 August 1994

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

zbMATH Keywords

linearized equationsvelocity distributiondensity distributionSquire's theoreminviscid instabilityoscillatory disturbanceformation of resonant triadsmethods of small disturbances

Mathematics Subject Classification ID

Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (23)

Dynamics of vorticity defects in stratified shear flow ⋮ A wave interaction approach to studying non-modal homogeneous and stratified shear instabilities ⋮ Instabilities in a staircase stratified shear flow ⋮ Interacting vorticity waves as an instability mechanism for magnetohydrodynamic shear instabilities ⋮ Self-organized criticality of turbulence in strongly stratified mixing layers ⋮ The linear instability of the stratified plane Couette flow ⋮ Diapycnal mixing in layered stratified plane Couette flow quantified in a tracer-based coordinate ⋮ The viscous Holmboe instability for smooth shear and density profiles ⋮ Multiple instability of layered stratified plane Couette flow ⋮ Nonlinear dynamics induced by linear wave interactions in multilayered flows ⋮ Marginally unstable Holmboe modes ⋮ Symmetric and nonsymmetric Holmboe instabilities in an inviscid flow ⋮ On Holmboe’s instability for smooth shear and density profiles ⋮ Spatial Holmboe instability ⋮ Identifying unstable modes in stratified shear layers ⋮ Secondary circulations in Holmboe waves ⋮ Effect of free surface on submerged stratified shear instabilities ⋮ Buoyancy-driven exchange flows in inclined ducts ⋮ Shear flow instabilities in shallow-water magnetohydrodynamics ⋮ Turbulent mixing due to the Holmboe wave instability at high Reynolds number ⋮ A generalized action-angle representation of wave interaction in stratified shear flows ⋮ Instability of a free-shear layer in the vicinity of a viscosity-stratified layer ⋮ The subcritical transition to turbulence of Faraday waves in miscible fluids

Cites Work

• Stable and unstable shear modes of rotating parallel flows in shallow water
• The stability of a sheared density interface
• The role of negative energy waves in some instabilities of parallel flows
• Resonant gravity-wave interactions in a shear flow
• Numerical studies of the stability of inviscid stratified shear flows

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