The turbulent mixing layer: geometry of large vortices

Author:

Browand F. K.,Troutt T. R.

Abstract

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 λxi = 300–400, where $\lambda = \Delta U/2\overline{U}$ is the speed ratio and θi 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 3–5δωω is the local vorticity thickness). However, the large vortices typically have lengths of order 20δω when the irregularities along the span are ignored.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference20 articles.

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3. Wood, D. H. & Bradshaw P. 1982 A turbulent mixing layer constrained by a solid surface. Part 1. Measurements before reaching the surface.J. Fluid Mech. 122,57–89.

4. Browand, F. K. & Ho C. M. 1983 The mixing layer: an example of quasi two-dimensional turbulence. Two-Dimensional Turbulence: J. Méc. Théor. Appl. Special Suppl. ,pp.99–120.

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