Nonlinear evolution of subsonic and supersonic disturbances on a compressible free shear layer

DOI10.1017/S0022112091001878zbMath0717.76072MaRDI QIDQ5749065

Stewart J. Leib

Publication date: 1991

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

zbMATH Keywords

linear inviscid stability theorycompressible free shear layerintegro-differential equation with cubic-type nonlinearitynonlinear-non-equilibrium-viscous critical layersupersonic instability modes

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Low-frequency sound radiated by a nonlinearly modulated wavepacket of helical modes on a subsonic circular jet ⋮ Nonlinear interactions between oblique instability waves on nearly parallel shear flows ⋮ Nonlinear evolution of a pair of oblique instability waves in a supersonic boundary layer ⋮ Nonlinear dynamics and acoustic radiation of coherent structures consisting of multiple ring–helical modes in the near-nozzle region of a subsonic turbulent circular jet ⋮ Nonlinear Stability of Nonstationary Cross‐Flow Vortices in Compressible Boundary Layers ⋮ A weakly nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field ⋮ Nonlinear development of subsonic modes on compressible mixing layers: a unified strongly nonlinear critical-layer theory ⋮ Nonlinear evolution and acoustic radiation of coherent structures in subsonic turbulent free shear layers

Cites Work

• Absolute/convective instabilities and the convective Mach number in a compressible mixing layer
• Nonlinear roll-up of externally excited free shear layers
• Nonlinear spatial evolution of an externally excited instability wave in a free shear layer
• On the theory of solitary Rossby waves
• Time-dependent critical layers in shear flows on the beta-plane

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