Small-scale transition in a plane mixing layer

An experimental study was conducted to investigate the generation process of random small-scale turbulence in an originally laminar mixing layer. The evolutions of the two types of deterministic structures, the spanwise and streamwise vortices, were first clarified in order to determine their roles in the transition process. A scaling rule for the streamwise distance from the trailing edge of the splitter plate to the vortex merging position was found for various velocity ratios. After this stremwise lengthscale was determined, it became clear that the spanwise wavelength of the streamwise vortices doubled after the merging of the spanwise structures which nominally doubled streamwise wavelengths. The most interesting finding was that the random small-scale eddies were produced by the interactions between the merging spanwise structures and the streamwise vortices.

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

[2]  G. R. Stegen,et al.  Experiments with maximum entropy power spectra of sinusoids , 1974 .

[3]  Sheila E. Widnall,et al.  The two- and three-dimensional instabilities of a spatially periodic shear layer , 1982, Journal of Fluid Mechanics.

[4]  Chih-Ming Ho,et al.  Vortex induction and mass entrainment in a small-aspect-ratio elliptic jet , 1987, Journal of Fluid Mechanics.

[5]  G. Corcos,et al.  The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion , 1984, Journal of Fluid Mechanics.

[6]  J. Liu,et al.  On the interactions between large-scale structure and fine-grained turbulence in a free shear flow I. The development of temporal interactions in the mean , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  Peter Bradshaw,et al.  The effect of initial conditions on the development of a free shear layer , 1966, Journal of Fluid Mechanics.

[8]  Chih-Ming Ho,et al.  Subharmonics and vortex merging in mixing layers , 1982, Journal of Fluid Mechanics.

[9]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[10]  Marcel Lesieur,et al.  The mixing layer and its coherence examined from the point of view of two-dimensional turbulence , 1988, Journal of Fluid Mechanics.

[11]  R. Breidenthal,et al.  Structure in turbulent mixing layers and wakes using a chemical reaction , 1981, Journal of Fluid Mechanics.

[12]  S. Orszag,et al.  Secondary instability of a temporally growing mixing layer , 1987, Journal of Fluid Mechanics.

[13]  H. E. Fiedler,et al.  The plane turbulent shear layer with periodic excitation , 1985, Journal of Fluid Mechanics.

[14]  J. Liu Contributions to the understanding of large-scale coherent structures in developing free turbulent shear flows , 1988 .

[15]  Peter A. Monkewitz,et al.  Influence of the velocity ratio on the spatial instability of mixing layers , 1982 .

[16]  Three-dimensional stability of an elliptical vortex in a straining field , 1984 .

[17]  F. Browand,et al.  The mixing layer: an example of quasi two-dimensional turbulence , 1983 .

[18]  Luis P. Bernal,et al.  Streamwise vortex structure in plane mixing layers , 1986, Journal of Fluid Mechanics.

[19]  I. Wygnanski,et al.  The forced mixing layer between parallel streams , 1982, Journal of Fluid Mechanics.

[20]  F. Browand,et al.  Growth of the two‐dimensional mixing layer from a turbulent and nonturbulent boundary layer , 1979 .

[21]  Hiroshi Sato,et al.  The stability and transition of a two-dimensional jet , 1960, Journal of Fluid Mechanics.

[22]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

[23]  J. Lasheras,et al.  On the origin and evolution of streamwise vortical structures in a plane, free shear layer , 1986, Journal of Fluid Mechanics.

[24]  Javier Jiménez,et al.  A spanwise structure in the plane shear layer , 1983, Journal of Fluid Mechanics.

[25]  Israel J Wygnanski,et al.  Coherent Motion in Excited Free Shear Flows , 1987 .

[26]  J. J. Riley,et al.  Direct Numerical Simulation of a Perturbed, Turbulent Mixing Layer , 1980 .

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