Nonlinear development of subsonic modes on compressible mixing layers: a unified strongly nonlinear critical-layer theory

DOI10.1017/S0022112008003200zbMath1169.76026MaRDI QIDQ3600939

C. Sparks, Xuesong Wu

Publication date: 9 February 2009

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

zbMATH Keywords

vortex roll-upfully compressible regimeweakly compressible regime

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General aerodynamics and subsonic flows (76G25)

Related Items

The dynamics of nonlinear instability waves in laminar heated and unheated compressible mixing layers ⋮ Nonlinear evolution and low-frequency acoustic radiation of ring-mode coherent structures on subsonic turbulent circular jets ⋮ 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 evolution and acoustic radiation of coherent structures in subsonic turbulent free shear layers ⋮ Spectral broadening and flow randomization in free shear layers

Cites Work

• Unnamed Item
• Planar velocity measurements in compressible mixing layers
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Spatial evolution of nonlinear acoustic mode instabilities on hypersonic boundary layers
• Nonlinear roll-up of externally excited free shear layers
• Nonlinear spatial evolution of an externally excited instability wave in a free shear layer
• Inviscid spatial stability of a three-dimensional compressible mixing layer
• Nonlinear spatial equilibration of an externally excited instability wave in a free shear layer
• The nonlinear development of supersonic instability waves in a mixing layer
• Shear layer instability of an inviscid compressible fluid. Part 2
• Shear layer instability of an inviscid compressible fluid. Part 3
• Chaotic mixing and transport in Rossby-wave critical layers
• Planar velocity measurements in a weakly compressible mixing layer
• Inviscid spatial stability of a compressible mixing layer
• Nonlinear evolution of oblique waves on compressible shear layers
• Nonlinear interactions between oblique instability waves on nearly parallel shear flows
• Shear layer instability of an inviscid compressible fluid
• Nonlinear evolution of subsonic and supersonic disturbances on a compressible free shear layer
• Three-dimensional simulations of large eddies in the compressible mixing layer
• Inviscid spatial stability of a compressible mixing layer. Part 3. Effect of thermodynamics
• THE VELOCITY DISTRIBUTION IN THE LAMINAR BOUNDARY LAYER BETWEEN PARALLEL STREAMS