Time-dependent critical layers in shear flows on the beta-plane

DOI10.1017/S0022112084001178zbMath0561.76056MaRDI QIDQ5186942

Fred J. Hickernell

Publication date: 1984

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

zbMATH Keywords

perturbation theoryasymptotic methodscritical layersfinite-amplitude disturbancebeta-plane model

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Shear flows and turbulence (76F10)

Related Items (23)

Finite-amplitude bifurcations in plane Poiseuille flow: two-dimensional Hopf bifurcation ⋮ Nonlinear evolution of spiral density waves generated by the instability of the shear layer in a rotating compressible fluid ⋮ Nonlinear stage of instability development in a stratified shear flow with an inflection-free velocity profile ⋮ Nonlinear interactions between oblique instability waves on nearly parallel shear flows ⋮ Nonlinear evolution of a pair of oblique instability waves in a supersonic boundary layer ⋮ Fully coupled resonant-triad interaction in an adverse-pressure-gradient boundary layer ⋮ The nonlinear evolution of high-frequency resonant-triad waves in an oscillatory Stokes layer at high Reynolds number ⋮ Asymptotic analysis of transition to turbulence and chaotic advection in shear zonal flows on a beta-plane ⋮ The nonlinear development of disturbances in a zonal shear flow ⋮ Nonlinear roll-up of externally excited free shear layers ⋮ Interactions between pairs of oblique waves on a mixing layer ⋮ Nonlinear stability of a stratified shear flow in the regime with an unsteady critical layer ⋮ Nonlinear Stability of Nonstationary Cross‐Flow Vortices in Compressible Boundary Layers ⋮ The influence of ekman dissipation on the development of perturbations in a zonal shear flow ⋮ The evolution of free disturbances in a two-dimensional nonlinear critical layer ⋮ Nonlinear evolution of subsonic and supersonic disturbances on a compressible free shear layer ⋮ The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex ⋮ Nonlinear Interaction between a Pair of Oblique Modes in a Supersonic Mixing Layer: Long‐Wave Limit ⋮ Nonlinear evolution of oblique waves on compressible shear layers ⋮ Nonlinear evolution of interacting oblique waves on two-dimensional shear layers ⋮ Characterizing boundary-layer instability at finite Reynolds numbers ⋮ Interactions between pairs of oblique waves in a Bickley jet ⋮ Nonlinear evolution of Rayleigh waves in an initial value context: non‐symmetric input and cross‐flow

Cites Work

• Finite-amplitude oscillations in a Kelvin-Helmholtz flow
• The Evolution of a Nonlinear Critical Level
• The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. I. Derivation of the Amplitude Evolution Equations
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• On the theory of solitary Rossby waves
• The evolution of a small inviscid disturbance to a marginally unstable stratified shear flow; stage two
• Contribution to the Nonlinear Stability Theory of Inviscid Shear Layers
• On the high Reynolds number flow over a wavy boundary
• A New Class of Nonlinear Waves in Parallel Flows
• Kelvin–Helmholtz instability of finite amplitude
• The Nonlinear Critical Layer in a Slightly Stratified Shear Flow
• Critical Layers m Parallel Flows

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