Transient growth and minimal defects: Two possible initial paths of transition to turbulence in plane shear flows

DOI10.1063/1.1775194zbMath1187.76046OpenAlexW2054572265MaRDI QIDQ3554635

Damien Biau, Alessandro Bottaro

Publication date: 22 April 2010

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

Full work available at URL: https://doi.org/10.1063/1.1775194

zbMATH Keywords

laminar flowasymptotic stabilitychannel flowparabolic equationsPoiseuille floweigenvalues and eigenfunctionsCouette flowflow simulationflow instabilityshear turbulencelaminar to turbulent transitions

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (8)

Sensitivity analysis of a streamwise corner flow ⋮ Optimal disturbances in suction boundary layers ⋮ Stability of the flow of a Bingham fluid in a channel: eigenvalue sensitivity, minimal defects and scaling laws of transition ⋮ The effect of stable thermal stratification on shear flow stability ⋮ Linear stability of channel entrance flow ⋮ From three-dimensional to quasi-two-dimensional: transient growth in magnetohydrodynamic duct flows ⋮ Delaying transition to turbulence in channel flow: revisiting the stability of shear-thinning fluids ⋮ Transition to turbulence in duct flow

Uses Software

• Differentiation Matrix Suite

Cites Work

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• Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations
• The three-dimensional nature of boundary-layer instability
• Optimal energy density growth in Hagen–Poiseuille flow
• Some perturbation solutions in laminar boundary-layer theory

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