An amplitude-evolution equation for linearly unstable modes in stratified shear flows

DOI10.1017/S0022112082001712zbMath0496.76104OpenAlexW2141813524MaRDI QIDQ3960399

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082001712

zbMATH Keywords

Couette flowsecond order in timeKelvin-Helmholtz flowbuoyancy frequencynonlinear amplitude equationamplitude-evolutionscontinuous velocity and density profilesGarcia flowlong wave modestemporal evolution of linearly unstable modes

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Shear flows and turbulence (76F10) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05)

Related Items

The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. I. Derivation of the Amplitude Evolution Equations

Cites Work

• The unstable solutions contiguous to the neutral ones of the equation for the shear flows in stratified, incompressible and inviscid fluids
• On the stability of a shear flow in a stratified, incompressible inviscid fluid, with special emphasis on the Couette flow
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• Weakly nonlinear stability of a viscous free shear layer
• On the applicability of Howard's formula
• Contribution to the Nonlinear Stability Theory of Inviscid Shear Layers
• Kelvin–Helmholtz instability of finite amplitude
• Perturbation methods in boundary-layer theory
• Nonlinear waves in a Kelvin-Helmholtz flow
• On Howard's technique for perturbing neutral solutions of the Taylor-Goldstein equation
• On the stability of heterogeneous shear flows. Part 2
• On the stability of heterogeneous shear flows