Critical Layers m Parallel Flows
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Publication:5681705
DOI10.1002/sapm1972512139zbMath0265.76052OpenAlexW2498816914MaRDI QIDQ5681705
Publication date: 1972
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1972512139
Related Items (69)
On the global instability of free disturbances with a time-dependent nonlinear viscous critical layer ⋮ Localized drag modification in a laminar boundary layer subject to free-stream travelling waves via critical and Stokes layer interactions ⋮ Nonlinear temporal-spatial modulation of near-planar Rayleigh waves in shear flows: formation of streamwise vortices ⋮ The viscous-diffusion nonlinear critical layer in a stratified shear flow ⋮ Continuing nonlinear growth of Tollmien-Schlichting waves ⋮ Rossby wave resonance in the presence of a nonlinear critical layer ⋮ Steady-state nonlinear internal gravity-wave critical layers satisfying an upper radiation condition ⋮ Nonlinear evolution and low-frequency acoustic radiation of ring-mode coherent structures on subsonic turbulent circular jets ⋮ Optimal perturbation for two-dimensional vortex systems: route to non-axisymmetric state ⋮ Temporal evolution of vorticity staircases in randomly strained two-dimensional vortices ⋮ Nonlinear spatial evolution of helical disturbances to an axial jet ⋮ The Nonlinear Critical‐Wall Layer in a Parallel Shear Flow ⋮ Nonlinear critical layers in the boundary layer on a rotating disk ⋮ The Effect of Profile Symmetry on the Nonlinear Stability of Mixing Layers ⋮ On the nonlinear critical layer below a nonlinear unsteady surface wave ⋮ 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 ⋮ The asymptotic theory of the generation of long-wave structures in critical layers of weakly dissipative jet flows ⋮ Roll-up of vorticity in adverse-pressure-gradient boundary layers ⋮ Three-dimensional disturbances to a mixing layer in the nonlinear critical-layer regime ⋮ Viscous effects on fully coupled resonant-triad interactions: an analytical approach ⋮ The nonlinear critical layer resulting from the spatial or temporal evolution of weakly unstable disturbances in shear flows ⋮ Interaction of phase-locked modes: a new mechanism for the rapid growth of three-dimensional disturbances ⋮ On an active resonant triad of mixed modes in symmetric shear flows: a plane wake as a paradigm ⋮ The nonlinear development of disturbances in a zonal shear flow ⋮ Nonlinear roll-up of externally excited free shear layers ⋮ Wave-induced distortions of a slightly stratified shear flow: a nonlinear critical-layer effect ⋮ Critical layer analysis of stuart vortices in a plane jet ⋮ The upper-branch stability of compressible boundary-layer flows ⋮ On the weakly nonlinear development of Tollmien-Schlichting wavetrains in boundary layers ⋮ Nonlinear Stability of Nonstationary Cross‐Flow Vortices in Compressible Boundary Layers ⋮ Nonlinear spatial evolution of an externally excited instability wave in a free shear layer ⋮ On the evolution of near-singular modes of the Bickley jet ⋮ Large‐Amplitude Long‐Wave Instability of a Supersonic Shear Layer ⋮ The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows ⋮ Axisymmetric travelling waves in annular sliding Couette flow at finite and asymptotically large Reynolds number ⋮ The nonlinear stabilization of a zonal shear flow instability ⋮ Do Rossby-wave critical layers absorb, reflect, or over-reflect? ⋮ Nonlinear stability of a weakly supercritical mixing layer in a rotating fluid ⋮ Properties of a Time-Dependent Nonlinear Viscous Critical Layer ⋮ High-speed shear-driven dynamos. Part 1. Asymptotic analysis ⋮ Initial-value problems for Rossby waves in a shear flow with critical level ⋮ Three-dimensional tertiary motions in a plane shear layer ⋮ Time-dependent critical layers in shear flows on the beta-plane ⋮ Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field ⋮ Islands in three-dimensional steady flows ⋮ The Evolution of a Nonlinear Critical Level ⋮ Linear and nonlinear decay of cat's eyes in two-dimensional vortices, and the link to Landau poles ⋮ Mathematical modelling of the active flow control by periodic excitation ⋮ Quasi-steady dissipative nonlinear critical layer in a stratified shear flow ⋮ Nonlinear evolution and acoustic radiation of coherent structures in subsonic turbulent free shear layers ⋮ Bifurcation of nonlinear Tollmien–Schlichting waves in a high-speed channel flow ⋮ Nonlinear dynamics of large-scale coherent structures in turbulent free shear layers ⋮ On the secular stability of a regular rossby neutral mode ⋮ Steady multipolar planar vortices with nonlinear critical layers ⋮ Self-sustaining dual critical layer states in plane Poiseuille–Couette flow at large Reynolds number ⋮ The evolution of the critical layer of a rossby wave. Part II ⋮ The evolution of an unsteady translating nonlinear rossby-wave critical layer ⋮ A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions ⋮ Inviscid instability of a unidirectional flow sheared in two transverse directions ⋮ The effect of barotropic instability on the nonlinear evolution of a Rossby-wave critical layer ⋮ Nonlinear Singular Kelvin Modes in a Columnar Vortex ⋮ The hydrodynamic stability of channel flow with compliant boundaries ⋮ Long Eddies in Sheared Flows ⋮ Weakly Nonlinear Internal Waves in Shear ⋮ Spectral broadening and flow randomization in free shear layers ⋮ The Evolution of Disturbances in Shear Flows at High Reynolds Numbers ⋮ Nonlinear critical layers and their development in streaming-flow stability ⋮ Nonlinear instability theories in hydrodynamics ⋮ A steady nonlinear and singular vortex Rossby wave within a rapidly rotating vortex. Part I: Theory
Cites Work
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- On steady laminar flow with closed streamlines at large Reynolds number
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
- On the high Reynolds number flow over a wavy boundary
- A New Class of Nonlinear Waves in Parallel Flows
- Stability of viscous motion between parallel planes for finite disturbances
- On the stability of two-dimensional parallel flows. I. General theory
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