The turbulent mixing layer: geometry of large vortices

Several means for visualizing large-scale vortex structure in a turbulent mixing layer are proposed. Most of the observations are recorded along the low-speed side of the mixing layer, external to the rotational portion of the flow. Conventional correlation measurements in both the streamwise and spanwise directions indicate that the vortex structure becomes independent of the downstream coordinate in a non-dimensional distance of order λ x /θ i = 300–400, where $\lambda = \Delta U/2\overline{U}$ is the speed ratio and θ i is the initial integral thickness. Simultaneous hot-wire measurements at 12 spanwise positions allow computer reconstruction of the velocity field as a function of span and time. These visualizations show the vortex structures to be primarily aligned across the span of the flow, but to contain irregularities. Spanwise correlation lengths are of the order of 3–5δ ω (δ ω is the local vorticity thickness). However, the large vortices typically have lengths of order 20δ ω when the irregularities along the span are ignored.

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

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

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

[4]  Khairul Q. Zaman,et al.  The ‘preferred mode’ of the axisymmetric jet , 1981, Journal of Fluid Mechanics.

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

[6]  Patrick D. Weidman,et al.  Large scales in the developing mixing layer , 1976, Journal of Fluid Mechanics.

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

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

[9]  T. R. Troutt,et al.  A note on spanwise structure in the two-dimensional mixing layer , 1980, Journal of Fluid Mechanics.

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

[11]  F. Browand,et al.  Instability and turbulence in a stratified fluid with shear , 1979, Journal of Fluid Mechanics.

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

[13]  I. Wygnanski,et al.  The two-dimensional mixing region , 1970, Journal of Fluid Mechanics.

[14]  John Harrison Konrad,et al.  An Experimental Investigation of Mixing in Two-Dimensional Turbulent Shear Flows with Applications to Diffusion-Limited Chemical Reactions , 1977 .

[15]  Javier Jiménez,et al.  On the Origin and Evolution of Three Dimensional Effects in the Mixing Layer , 1979 .

[16]  Joseph H. Haritonidis,et al.  On the spreading of a turbulent spot in the absence of a pressure gradient , 1982, Journal of Fluid Mechanics.

[17]  Peter Bradshaw,et al.  A turbulent mixing layer constrained by a solid surface. Part 1. Measurements before reaching the surface , 1982, Journal of Fluid Mechanics.