The nonlinear evolution of high-frequency resonant-triad waves in an oscillatory Stokes layer at high Reynolds number

DOI10.1017/S0022112092000582zbMath0774.76039MaRDI QIDQ4033460

Xuesong Wu

Publication date: 16 May 1993

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

zbMATH Keywords

integro-differential equationsasymptotic expansionsamplitude equationsfinite-time singularitycritical layersinfinite fluidscalingsoblique wavesenergy feedbackinteractive resonant-triad instabilityparametric resonance casesinusoidally oscillating flat plate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30)

Related Items

Boundary-layer transition at high free-stream disturbance levels – beyond Klebanoff modes ⋮ Waves on a Stuart vortex ⋮ Influence of three-dimensional wall roughness on the transition of a finite Stokes layer ⋮ Interaction of oblique instability waves with a nonlinear plane wave ⋮ Wall imperfections as a triggering mechanism for Stokes-layer transition ⋮ Nonlinear interactions between oblique instability waves on nearly parallel shear flows ⋮ Effect of free-stream turbulence on boundary layer transition ⋮ Intermittent turbulence in a pulsating pipe flow ⋮ The bypass transition mechanism of the Stokes boundary layer in the intermittently turbulent regime ⋮ Interactions between pairs of oblique waves on a mixing layer ⋮ On the linear instability of a finite Stokes layer: Instantaneous versus Floquet modes ⋮ On the onset of three-dimensionality in mixing layers ⋮ Instability and transition induced by wall roughness in a finite Stokes layer ⋮ Direct simulation of transition in Stokes boundary layers ⋮ 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 ⋮ Nonlinear interaction of wind-driven oblique surface waves and parametric growth of lower frequency modes ⋮ Modal interactions in a Bickley jet: Comparison of theory with direct numerical simulation

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