Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem
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Publication:5756014
DOI10.1063/1.2182002zbMath1185.76582OpenAlexW1966018174MaRDI QIDQ5756014
Publication date: 15 August 2007
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2182002
Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05) Transition to turbulence (76F06)
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Cites Work
- Exact coherent structures in channel flow
- Hydrodynamic Stability Without Eigenvalues
- Energy growth in viscous channel flows
- On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm
- Secondary instability of wall-bounded shear flows
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- Influence of small imperfections on the stability of plane Poiseuille flow: A theoretical model and direct numerical simulation
- Direct numerical simulation of equilibrium spatially localized structures in pipe flow
- Stability of flow in a channel with vibrating walls
- A Mean Flow First Harmonic Theory for Hydrodynamic Instabilities
- Transition to turbulence in plane Poiseuille and plane Couette flow
- Finite-amplitude bifurcations in plane Poiseuille flow: two-dimensional Hopf bifurcation
- Nonlinear interaction of oblique three-dimensional Tollmien-Schlichting waves and longitudinal vortices, in channel flows and boundary layers
- On problems in the weakly nonlinear theory of hydrodynamic stability and its improvement
- On stability of streamwise streaks and transition thresholds in plane channel flows
- Wave Breakdown and Turbulence
- Transition in shear flows. Nonlinear normality versus non-normal linearity
- A periodic-like solution in channel flow
- Exact coherent structures in pipe flow: travelling wave solutions
- Nonlinear evolution of interacting oblique waves on two-dimensional shear layers
- On the role of linear mechanisms in transition to turbulence
- Hydrodynamic Stability and Turbulence: Beyond Transients to a Self‐Sustaining Process
- Subcritical bifurcation of plane Poiseuille flow
- Pseudospectra of the Orr–Sommerfeld Operator
- Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve
- Finite-amplitude instability of parallel shear flows
- Accurate solution of the Orr–Sommerfeld stability equation
- On strongly nonlinear vortex/wave interactions in boundary-layer transition
- Stability of viscous motion between parallel planes for finite disturbances
