Interaction of phase-locked modes: a new mechanism for the rapid growth of three-dimensional disturbances

DOI10.1017/S0022112096000572zbMath0889.76028OpenAlexW2134067640MaRDI QIDQ4340206

Xuesong Wu, P. A. Stewart

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1017/s0022112096000572

zbMATH Keywords

subharmonic resonancefeedback effectquadratic interactionoblique modeplanar mode

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Incompressible viscous fluids (76D99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (14)

Spatial–temporal transformation for primary and secondary instabilities in weakly non-parallel shear flows ⋮ Nonlinear stage of instability development in a stratified shear flow with an inflection-free velocity profile ⋮ Waves on a Stuart vortex ⋮ Selective enhancement of oblique waves caused by finite amplitude second mode in supersonic boundary layer ⋮ Interactions between second mode and low-frequency waves in a hypersonic boundary layer ⋮ Interactions between pairs of oblique waves on a mixing layer ⋮ DNS of wavepacket evolution in a Blasius boundary layer ⋮ On the catalytic role of the phase-locked interaction of Tollmien–Schlichting waves in boundary-layer transition ⋮ Resonant–triad interaction in a wall jet ⋮ The instability growth leading to a liquid sheet breakup ⋮ Interactions between pairs of oblique waves in a Bickley jet ⋮ Nonlinear interaction of wind-driven oblique surface waves and parametric growth of lower frequency modes ⋮ On the dynamics in a transitional boundary layer. ⋮ Weakly nonlinear stages of boundary-layer transition initiated by modulated Tollmien–Schlichting waves

Cites Work

• Critical Layers m Parallel Flows

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