ON THE NONLINEAR EVOLUTION OF INSTABILITY MODES IN UNSTEADY SHEAR LAYERS: THE STOKES LAYER AS A PARADIGM

DOI10.1093/QJMAM/48.2.159zbMath0838.76031OpenAlexW2007603756MaRDI QIDQ4840661

Xuesong Wu, Stephen J. Cowley

Publication date: 3 June 1996

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/48.2.159

zbMATH Keywords

finite-time singularityequilibrium stateoscillating flat platecritical-layer theoryamplitude equation of Hickernell's integro-differential type

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stokes and related (Oseen, etc.) flows (76D07) Parallel shear flows in hydrodynamic stability (76E05)

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Floquet stability analyses of stratified oscillating boundary layers on adiabatic slopes ⋮ Nonlinear stage of instability development in a stratified shear flow with an inflection-free velocity profile ⋮ Influence of three-dimensional wall roughness on the transition of a finite Stokes layer ⋮ On the linear instability of a finite Stokes layer: Instantaneous versus Floquet modes ⋮ The evolution of free disturbances in a two-dimensional nonlinear critical layer ⋮ A weakly nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field ⋮ Excitation and evolution of radiating modes in supersonic boundary layers. I: Fundamental resonance with impinging sound waves ⋮ Instability and transition induced by wall roughness in a finite Stokes layer ⋮ The linear stability of oscillatory Poiseuille flow in channels and pipes ⋮ Inviscid instability of a unidirectional flow sheared in two transverse directions ⋮ Stability of a temporally evolving natural convection boundary layer on an isothermal wall ⋮ The linear stability of oscillating pipe flow

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