A Mean Flow First Harmonic Theory for Hydrodynamic Instabilities

DOI10.1002/sapm198980137zbMath0668.76056OpenAlexW2398932466MaRDI QIDQ3821792

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Publication date: 1989

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198980137

zbMATH Keywords

Blasius boundary layerPoiseuille flownonlinear instabilitiesfirst harmonic wavequasiparallel flowssteady hydrodynamic motions

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

Related Items

Research Contributions of David J. Benney, On Transition to Turbulence and Synthesis of Alternative Approaches, The Nonlinear Instability Characteristics of Waves in Free Shear Layers, Inviscid secondary instability of the far wake, Instability of Three Dimensional Waves in Two Layered Flows, A Note on Inviscid Secondary Instability in Shear Flows, Hydrodynamic Stability and Turbulence: Beyond Transients to a Self‐Sustaining Process, Weakly nonlinear wave motions in a thermally stratified boundary layer, Instability of Three Dimensional Waves in Shear Flows, High-speed shear-driven dynamos. Part 1. Asymptotic analysis, On strongly nonlinear vortex/wave interactions in boundary-layer transition, Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem, Distributed vortex-wave interactions: the relation of self-similarity to the attached eddy hypothesis, On vortex/wave interactions. Part 1. Non-symmetrical input and cross-flow in boundary layers, On the instability of vortex–wave interaction states, Nonlinear evolution of Rayleigh waves in an initial value context: non‐symmetric input and cross‐flow, Nonlinear instability theories in hydrodynamics

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