Interaction of oblique instability waves with a nonlinear plane wave

DOI10.1017/S0022112094000698zbMath0816.76036MaRDI QIDQ4304634

David W. Wundrow, Lennart S. Hultgren, Marvin E. Goldstein

Publication date: 31 August 1994

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

zbMATH Keywords

method of matched asymptotic expansionscritical layerresonant triadweak adverse pressure gradient

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (5)

Waves on a Stuart vortex ⋮ Nonlinear instabilities of a non-self-similar boundary layer on an airfoil: experiments, DNS, and theory ⋮ On the catalytic role of the phase-locked interaction of Tollmien–Schlichting waves in boundary-layer transition ⋮ Nonlinear interaction of wind-driven oblique surface waves and parametric growth of lower frequency modes ⋮ Weakly nonlinear stages of boundary-layer transition initiated by modulated Tollmien–Schlichting waves

Cites Work

• The evolution of Tollmien–Sclichting waves near a leading edge
• A note on the inviscid Orr-Sommerfeld equation
• Roll-up of vorticity in adverse-pressure-gradient boundary layers
• Linear stability of a non-symmetric, inviscid, Kármán street of small uniform vortices
• Nonlinear roll-up of externally excited free shear layers
• Nonlinear spatial evolution of an externally excited instability wave in a free shear layer
• A New Mechanism For Linear and Nonlinear Hydrodynamic Instability
• Nonlinear spatial equilibration of an externally excited instability wave in a free shear layer
• Fully coupled resonant-triad interaction in an adverse-pressure-gradient boundary layer
• The nonlinear evolution of high-frequency resonant-triad waves in an oscillatory Stokes layer at high Reynolds number
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• A critical-layer analysis of the resonant triad in boundary-layer transition: nonlinear interactions
• Nonlinear interactions between oblique instability waves on nearly parallel shear flows
• The three-dimensional nature of boundary-layer instability
• Non-linear resonant instability in boundary layers

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