Shear flow instabilities and transition

[1]  A. Davey.  A SIMPLE NUMERICAL METHOD FOR SOLVING ORR–SOMMERFELD PROBLEMS , 1973 .

[2]  L. Howard,et al.  Stability of stratified shear flows , 1973 .

[3]  L. H. Thomas.  THE STABILITY OF PLANE POISEUILLE FLOW , 1952 .

[4]  M. A. Weissman,et al.  Nonlinear wave packets in the Kelvin-Helmholtz instability , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[5]  K. Case.  Stability of Inviscid Plane Couette Flow , 1960 .

[6]  A. Michalke.  On spatially growing disturbances in an inviscid shear layer , 1965, Journal of Fluid Mechanics.

[7]  H. Weitzner,et al.  Perturbation Methods in Applied Mathematics , 1969 .

[8]  A. E. Gill.  A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe , 1965, Journal of Fluid Mechanics.

[9]  M. Gaster.  Series representation of the eigenvalues of the Orr-Sommerfeld equation , 1977 .

[10]  John Whitehead,et al.  Review of the Finite Bandwidth Concept , 1971 .

[11]  K. Stewartson.  The evolution of the critical layer of a Rossby wave , 1977 .

[12]  Paul H. Rutherford,et al.  Nonlinear growth of the tearing mode , 1973 .

[13]  W. Graebel.  On determination of the characteristic equations for the stability of parallel flows , 1966, Journal of Fluid Mechanics.

[14]  P. S. Klebanoff,et al.  The three-dimensional nature of boundary-layer instability , 1962, Journal of Fluid Mechanics.

[15]  G. B. Schubauer,et al.  Laminar-boundary-layer oscillations and transition on a flat plate , 1947 .

[16]  K. Stewartson,et al.  The evolution of the critical layer of a rossby wave. Part II , 1977 .

[17]  I. Grant,et al.  An experimental investigation of the formation and development of a wave packet in a laminar boundary layer , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[18]  R. E. Kelly,et al.  On the stability of an inviscid shear layer which is periodic in space and time , 1967, Journal of Fluid Mechanics.

[19]  A. Roshko.  Structure of Turbulent Shear Flows: A New Look , 1976 .

[20]  J. T. Stuart.  On finite amplitude oscillations in laminar mixing layers , 1967, Journal of Fluid Mechanics.

[21]  Louis N. Howard,et al.  Hydrodynamic Stability of Parallel Flow of Inviscid Fluid , 1966 .

[22]  Durand William Frederick.  Aerodynamic Theory Vol-iii , 1935 .

[23]  Ali H. Nayfeh,et al.  Nonparallel stability of boundary‐layer flows , 1975 .

[24]  Louis N. Howard,et al.  Note on a paper of John W. Miles , 1961, Journal of Fluid Mechanics.

[25]  R. Kelly.  On the resonant interaction of neutral disturbances in two inviscid shear flows , 1968, Journal of Fluid Mechanics.

[26]  H. W. Emmons,et al.  The Laminar-Turbulent Transition in a Boundary Layer-Part I , 1951 .

[27]  T. Warn,et al.  The Evolution of a Nonlinear Critical Level , 1978 .

[28]  A. Davey.  On Itoh's finite amplitude stability theory for pipe flow , 1978, Journal of Fluid Mechanics.

[29]  Vimal Singh,et al.  Perturbation methods , 1991 .

[30]  Chester E. Grosch,et al.  The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions , 1976, Journal of Fluid Mechanics.

[31]  K. Ayukawa,et al.  The Stability of a Free Boundary Layer at Large Reynolds Numbers , 1964 .

[32]  M. Holt,et al.  Basic developments in fluid dynamics , 1965 .

[33]  L. Chambers.  Linear and Nonlinear Waves , 2000, The Mathematical Gazette.

[34]  P. Huerre,et al.  The nonlinear stability of a free shear layer in the viscous critical layer régime , 1980, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[35]  S. Maslowe.  Weakly nonlinear stability of a viscous free shear layer , 1977, Journal of Fluid Mechanics.

[36]  Carl E. Pearson,et al.  Functions of a complex variable - theory and technique , 2005 .

[37]  D. J. Benney,et al.  A New Class of Nonlinear Waves in Parallel Flows , 1969 .

[38]  Lee A. Segel,et al.  Distant side-walls cause slow amplitude modulation of cellular convection , 1969, Journal of Fluid Mechanics.

[39]  M. Gaster.  The role of spatially growing waves in the theory of hydrodynamic stability , 1965 .

[40]  A. Davey,et al.  Finite-amplitude stability of pipe flow , 1971, Journal of Fluid Mechanics.

[41]  C. Lin,et al.  On the asymptotic solutions of a class of ordinary differential equations of the fourth order. I. Existence of regular formal solutions , 1960 .

[42]  L. Prandtl,et al.  The Mechanics of Viscous Fluids , 1935 .

[43]  D. J. Benney,et al.  The evolution in space and time of nonlinear waves in parallel shear flows , 1975 .

[44]  S. Maslowe.  Finite-amplitude Kelvin-Helmholtz billows , 1973 .

[45]  K. Stewartson,et al.  A non-linear instability theory for a wave system in plane Poiseuille flow , 1971, Journal of Fluid Mechanics.

[46]  D. J. Benney,et al.  On shear-layer instability, breakdown and transition , 1963, Journal of Fluid Mechanics.

[47]  Louis N. Howard,et al.  Note on a heterogeneous shear flow , 1964, Journal of Fluid Mechanics.

[48]  Chia-chiao Lin.  Some mathematical problems in the theory of the stability of parallel flows , 1961, Journal of Fluid Mechanics.

[49]  R. C. DiPrima,et al.  The Eckhaus and Benjamin-Feir resonance mechanisms , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[50]  D. J. Benney.  A non-linear theory for oscillations in a parallel flow , 1961, Journal of Fluid Mechanics.

[51]  D. J. Benney,et al.  The Propagation of Nonlinear Wave Envelopes , 1967 .

[52]  L. M. Hocking,et al.  On the nonlinear response of a marginally unstable plane parallel flow to a two-dimensional disturbance , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[53]  R. Helgason,et al.  A matrix method for ordinary differential eigenvalue problems , 1970 .

[54]  L. Redekopp,et al.  On the theory of solitary Rossby waves , 1977, Journal of Fluid Mechanics.

[55]  R. Dickinson.  Development of a Rossby Wave Critical Level , 1970 .

[56]  F. Browand,et al.  Vortex pairing : the mechanism of turbulent mixing-layer growth at moderate Reynolds number , 1974, Journal of Fluid Mechanics.

[57]  G. Chimonas.  Algebraic disturbances in stratified shear flows , 1979, Journal of Fluid Mechanics.

[58]  W. Lakin,et al.  Approximations to the eigenvalue relation for the Orr-Sommerfeld problem , 1978, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[59]  W. Reynolds,et al.  Finite-amplitude instability of parallel shear flows , 1967, Journal of Fluid Mechanics.

[60]  On the Spectra of the Orr-Sommerfeld Equation. , 1977 .

[61]  On the instability of shear flows and their transition to turbulence , 1966 .

[62]  R. Davis,et al.  On the high Reynolds number flow over a wavy boundary , 1969, Journal of Fluid Mechanics.

[63]  M. Nishioka,et al.  An experimental investigation of the stability of plane Poiseuille flow , 1975, Journal of Fluid Mechanics.

[64]  A. Craik,et al.  Non-linear resonant instability in boundary layers , 1971, Journal of Fluid Mechanics.

[65]  M. Béland.  The Evolution of a Nonlinear Rossby Wave Critical Level: Effects of Viscosity , 1978 .

[66]  J. T. Stuart.  On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow , 1960, Journal of Fluid Mechanics.

[67]  Peter Freymuth,et al.  On transition in a separated laminar boundary layer , 1966, Journal of Fluid Mechanics.

[68]  C. Lin,et al.  The theory of hydrodynamic stability , 1955 .

[69]  S. Orszag.  Accurate solution of the Orr–Sommerfeld stability equation , 1971, Journal of Fluid Mechanics.

[70]  A. Michalke.  The instability of free shear layers , 1972 .

[71]  R. Miksad.  Experiments on the nonlinear stages of free-shear-layer transition , 1972, Journal of Fluid Mechanics.

[72]  G. B. Schubauer,et al.  Laminar-boundary-layer oscillations and transition on a flat plate ; NACA Technical Reports , 1948 .

[73]  G. R. Hall,et al.  Interaction of the wake from bluff bodies with an initially laminar boundary layer. , 1966 .

[74]  R. Haberman.  Critical Layers m Parallel Flows , 1972 .