Resonant growth of three-dimensional disturbances in plane Poiseuille flow

DOI10.1017/S0022112081000384zbMath0471.76065OpenAlexW4237841494MaRDI QIDQ3926250

L. Håkan Gustavsson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1017/s0022112081000384

zbMATH Keywords

plane Poiseuille flowTollmien-Schlichting wavesdegeneracy in Orr-Sommerfeld dispersion relationshipdiscrete points in wave-number spaceresonant growth of three-dimensional disturbances

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Applications to the sciences (65Z05)

Related Items (11)

Direct resonances in Orr-Sommerfeld problems ⋮ On the resonant triad interaction in flows over rigid and flexible boundaries ⋮ Degeneracies and Direct Resonances in Water-Table Flow ⋮ Hydrodynamic Stability and Turbulence: Beyond Transients to a Self‐Sustaining Process ⋮ Degeneracies of the temporal Orr-Sommerfeld eigenmodes in plane Poiseuille flow ⋮ A Mean Flow First Harmonic Theory for Hydrodynamic Instabilities ⋮ Direct Resonance of Nonaxisymmetric Disturbances in Pipe Flow ⋮ Energy growth of three-dimensional disturbances in plane Poiseuille flow ⋮ Direct spatial resonance in the compressible boundary layer on a rotating-disk ⋮ Excitation of Direct Resonances in Plane Poiseuille Flow ⋮ Nonlinear instability theories in hydrodynamics

Cites Work

• Transition to turbulence in plane Poiseuille and plane Couette flow
• A resonance mechanism in plane Couette flow
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• On the stability of stratified viscous plane Couette flow. Part 1. Constant buoyancy frequency
• Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 1. An asymptotic theory valid for small amplitude disturbances
• The stability of steady and time-dependent plane Poiseuille flow
• A non-linear instability theory for a wave system in plane Poiseuille flow
• Accurate solution of the Orr–Sommerfeld stability equation
• Nonlinear Stability Theory

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