Two-dimensional disturbance travel, growth and spreading in boundary layers

DOI10.1017/S002211208600068XzbMath0608.76043OpenAlexW2084811232MaRDI QIDQ3747939

Frank T. Smith

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s002211208600068x

zbMATH Keywords

analytical solutionsfinite-differenceinitial-value problemboundary layernumerical solutionviscous sublayerchaotic responsetransition to turbulencetwo-dimensional unsteady Navier-Stokes equationsnonlinear growthtriple-deck problemhigh-frequency analysisgeneralized cubic Schrödinger equationsecondary sideband instabilityspectrum broadeningspiked behaviourTollmien-Schlichting disturbancesunsteady planar interacting-boundary-layer equationsunsteady two-dimensional triple deckvorticity bursts

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Turbulence (76F99) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (12)

The interactive breakdown in supersonic ramp flow ⋮ Packets of wave perturbations in a Blasius flow ⋮ Global stability of separated flows: subsonic flow past corners. Global stability of separated flows ⋮ The Nonlinear Critical‐Wall Layer in a Parallel Shear Flow ⋮ Three-dimensional nonlinear blow-up from a nearly planar initial disturbance, in boundary-layer transition: theory and experimental comparisons ⋮ Nonlinear interaction between a boundary layer and a liquid film ⋮ Steady and unsteady 3-D interactive boundary layers ⋮ On strongly nonlinear vortex/wave interactions in boundary-layer transition ⋮ Short- to long-wave resonance and soliton formation in boundary-layer interaction with a liquid film ⋮ Triple-deck flow over unsteady surface disturbances: The three- dimensional development of Tollmien-Schlichting waves ⋮ On boundary-layer transition in transonic flow ⋮ Wave packets, resonant interactions and soliton formation in inlet pipe flow

Cites Work

• Triple-deck solutions for subsonic flow past humps, steps, concave or convex corners and wedged trailing edges
• Boundary-Layer Interaction Theory
• The growth of localized disturbances in a laminar boundary layer
• A Stability Criterion for Envelope Equations
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• Nonlinear double-diffusive convection
• The three-dimensional nature of boundary-layer instability
• The disintegration of wave trains on deep water Part 1. Theory
• Stability of Spatially Periodic Supercritical Flows in Hydrodynamics
• A non-linear instability theory for a wave system in plane Poiseuille flow

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