On the longitudinal optimal perturbations to inviscid plane shear flow: formal solution and asymptotic approximation

DOI10.1017/jfm.2013.570zbMath1294.76111OpenAlexW2130777200MaRDI QIDQ2878601

Chomaz, Jean-Marc, Cristobal Arratia

Publication date: 29 August 2014

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://hal-polytechnique.archives-ouvertes.fr/hal-00994466/file/S0022112013005703a.pdf

zbMATH Keywords

instabilityboundary layersshear layers

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Parallel shear flows in hydrodynamic stability (76E05)

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Cites Work

• Stability and transition in shear flows
• Energy growth in viscous channel flows
• A note on an algebraic instability of inviscid parallel shear flows
• Stability of linear flow
• Optimal excitation of three-dimensional perturbations in viscous constant shear flow
• Transient perturbation growth in time-dependent mixing layers
• Energy growth of three-dimensional disturbances in plane Poiseuille flow