Convectively Unstable Wave Packets in the Blasius Boundary Layer

DOI10.1002/zamm.19950750603zbMath0834.76024OpenAlexW2074826792MaRDI QIDQ4847507

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Publication date: 1 April 1996

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750603

zbMATH Keywords

critical Reynolds numberChebyshev collocation methodTollmien-Schlichting waveslocal spatial structuree(sup N)-approachinitial-boundary-value linear stability problem

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Parallel shear flows in hydrodynamic stability (76E05) Waves for incompressible viscous fluids (76D33)

Related Items (10)

Transition to spatiotemporal chaos via stationary branching shocks and holes ⋮ Initial‐Boundary‐Value Stability Problem for the Blasius Boundary Layer ⋮ Mathematische Analyse der Bereiche reibungsbehafteter Strömungen ⋮ Initial‐Boundary‐Value Stability Problem for the Blasius Boundary Layer ⋮ Mathematische Analyse der Bereiche reibungsbehafteter Strömungen ⋮ Absolute instability of plane incompressible jets ⋮ Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ Absolute and convective instabilities of semi-bounded spatially developing flows ⋮ Identifying linear absolute instabilities from differential eigenvalue problems using sensitivity analysis ⋮ Numerical aspects of searching convective/absolute instability transition

Cites Work

• Differential eigenvalue problems in which the parameter appears nonlinearly
• Three-dimensional absolute and convective instabilities, and spatially amplifying waves in parallel shear flows
• Series representation of the eigenvalues of the Orr-Sommerfeld equation
• Numerical solution of problems in unbounded regions: coordinate transforms
• A spectral method for external viscous flows
• Remarks on disputed numerical results in compressible boundary-layer stability theory
• A study of absolute and convective instabilities with an application to the Eady model
• The vibrating ribbon problem revisited
• Absolute and convective instabilities in free shear layers
• Spatially Amplifying Waves in Plane Poiseuille Flow
• Initial-value problem for boundary layer flows
• Initial‐Boundary‐Value Stability Problem for the Blasius Boundary Layer
• The development of three-dimensional wave packets in a boundary layer
• The flat plate boundary layer. Part 1. Numerical integration of the Orr–-Sommerfeld equation

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