Subcritical autooscillations and nonlinear neutral curve for Poiseuille flow

DOI10.1016/0898-1221(80)90064-4zbMath0441.76026OpenAlexW1989870946MaRDI QIDQ1143254

Yu. I. Molorodov, Boris Yu. Scobelev

Publication date: 1980

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(80)90064-4

zbMATH Keywords

asymptotic solutionPoiseuille flowunstable limit cycleinitial problemdisturbances of laminar flownonlinear neutral curvesubcritical autooscillations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (3)

Nonlinear theory of hydrodynamic stability and bifurcations of solutions of the Navier-Stokes equations ⋮ An invariant finite-dimensional approximation to the Navier-Stokes equations and self-excited oscillatory modes of Poiseuille flow ⋮ Loss of stability and bifurcation of auto-oscillatory regimes close to Poiseuille flow

Cites Work

• Bifurcating time periodic solutions and their stability
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 1. An asymptotic theory valid for small amplitude disturbances
• Subcritical bifurcation of plane Poiseuille flow
• Finite-amplitude instability of parallel shear flows
• A New Class of Nonlinear Waves in Parallel Flows

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