Nonlinear interaction between the sinuous and varicose instability modes in a plane wake

DOI10.1063/1.857422zbMath0659.76020OpenAlexW1970216043MaRDI QIDQ3809442

Stewart J. Leib, Marvin E. Goldstein

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857422

zbMATH Keywords

numerical solutionsnonlinear interactionnonlinear- nonequilibrium critical layer regimevaricose instability modes

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Basic methods in fluid mechanics (76M99)

Related Items (10)

Finite-amplitude bifurcations in plane Poiseuille flow: two-dimensional Hopf bifurcation ⋮ Nonlinear spatial equilibration of an externally excited instability wave in a free shear layer ⋮ On an active resonant triad of mixed modes in symmetric shear flows: a plane wake as a paradigm ⋮ Interactions between pairs of oblique waves on a mixing layer ⋮ Critical layer analysis of stuart vortices in a plane jet ⋮ On the evolution of near-singular modes of the Bickley jet ⋮ Interactions between pairs of oblique waves in a Bickley jet ⋮ Spectral broadening and flow randomization in free shear layers ⋮ On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm ⋮ Modal interactions in a Bickley jet: Comparison of theory with direct numerical simulation

Cites Work

• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Absolute and convective instabilities in free shear layers
• Nonlinear instability of a Rossby-wavecritical layer
• Nonlinear roll-up of externally excited free shear layers
• The inviscid nonlinear instability of parallel shear flows
• On the resonant interaction of neutral disturbances in two inviscid shear flows
• The stability of an incompressible two-dimensional wake

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