Plane waves and structures in turbulent channel flow

A direct simulation of turbulent flow in a channel is analyzed by the method of empirical eigenfunctions (Karhunen–Loeve procedure, proper orthogonal decomposition). This analysis reveals the presence of propagating plane waves in the turbulent flow. The velocity of propagation is determined by the flow velocity at the location of maximal Reynolds stress. The analysis further suggests that the interaction of these waves appears to be essential to the local production of turbulence via bursting or sweeping events in the turbulent boundary layer, with the additional suggestion that the fast acting plane waves act as triggers.

[1]  R. Courant,et al.  Methods of Mathematical Physics , 1962 .

[2]  On the Mechanism of Turbulent Transition , 1960 .

[3]  A. Townsend,et al.  Equilibrium layers and wall turbulence , 1961, Journal of Fluid Mechanics.

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

[5]  V. A. Krasil’nikov,et al.  Atmospheric turbulence and radio-wave propagation , 1962 .

[6]  Peter Bradshaw,et al.  ‘Inactive’ motion and pressure fluctuations in turbulent boundary layers , 1967, Journal of Fluid Mechanics.

[7]  F. A. Schraub,et al.  The structure of turbulent boundary layers , 1967, Journal of Fluid Mechanics.

[8]  M. R. Head,et al.  Some observations on skin friction and velocity profiles in fully developed pipe and channel flows , 1969, Journal of Fluid Mechanics.

[9]  J. Lumley.  Stochastic tools in turbulence , 1970 .

[10]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[11]  M. Landahl.  Wave mechanics of breakdown , 1972, Journal of Fluid Mechanics.

[12]  I. Wygnanski,et al.  On transition in a pipe. Part 2. The equilibrium puff , 1975, Journal of Fluid Mechanics.

[13]  Helmut Eckelmann,et al.  The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow , 1974, Journal of Fluid Mechanics.

[14]  W. Willmarth,et al.  Pressure Fluctuations Beneath Turbulent Boundary Layers , 1975 .

[15]  S. Orszag,et al.  Subcritical transition to turbulence in plane channel flows , 1980 .

[16]  Sheila E. Widnall,et al.  A flow-visualization study of transition in plane Poiseuille flow , 1982, Journal of Fluid Mechanics.

[17]  Anthony T. Patera,et al.  Secondary instability of wall-bounded shear flows , 1983, Journal of Fluid Mechanics.

[18]  T. Herbert.  Secondary Instability of Plane Channel Flow to Subharmonic Three-Dimensional Disturbances , 1983 .

[19]  Promode R. Bandyopadhyay,et al.  Aspects of the equilibrium puff in transitional pipe flow , 1986, Journal of Fluid Mechanics.

[20]  L Sirovich,et al.  Low-dimensional procedure for the characterization of human faces. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[21]  L. Sirovich,et al.  Coherent structures and chaos: A model problem , 1987 .

[22]  L. Sirovich.  Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[23]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[24]  John Kim,et al.  Numerical simulations of turbulent spots in plane Poiseuille and boundary‐layer flow , 1987 .

[25]  D. Henningson,et al.  The wave structure of turbulent spots in plane Poiseuille flow , 1987, Journal of Fluid Mechanics.

[26]  Nadine Aubry,et al.  The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.

[27]  Steven A. Orszag,et al.  Instability mechanisms in shear-flow transition , 1988 .

[28]  T. Herbert.  Secondary Instability of Boundary Layers , 1988 .

[29]  Franz Durst,et al.  Turbulent Shear Flows 6 , 1989 .

[30]  Parviz Moin,et al.  Characteristic-eddy decomposition of turbulence in a channel , 1989, Journal of Fluid Mechanics.

[31]  Wave growth and spreading of a turbulent spot in plane Poiseuille flow , 1989 .

[32]  Forces acting on a low-velocity region within a turbulent boundary layer , 1989 .

[33]  L. Sirovich.  Chaotic dynamics of coherent structures , 1989 .

[34]  Mohamed Gad-el-Hak,et al.  Frontiers in experimental fluid mechanics , 1989 .