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April 3, 1974Journal of Fluid Mechanics1,315 citations

Vortex pairing : the mechanism of turbulent mixing-layer growth at moderate Reynolds number

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CWClinton D. WinantUniversity of Southern CaliforniaFBF. K. BrowandUniversity of Southern California

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Abstract

A mixing layer is formed by bringing two streams of water, moving at different velocities, together in a lucite-walled channel. The Reynolds number, based on the velocity difference and the thickness of the shear layer, varies from about 45, where the shear layer originates, to about 850 at a distance of 50 cm. Dye is injected between the two streams just before they are brought together, marking the vorticity-carrying fluid. Unstable waves grow, and fluid is observed to roll up into discrete two-dimensional vortical structures. These turbulent vortices interact by rolling around each other, and a single vortical structure, with approximately twice the spacing of the former vortices, is formed. This pairing process is observed to occur repeatedly, controlling the growth of the mixing layer. A simple model of the mixing layer contains, as the important elements controlling growth, the degree of non-uniformity in the vortex train and the ‘lumpiness’ of the vorticity field.

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Cite This Study

Winant et al. (1974) studied this question.

synapsesocial.com/papers/69de5ef3726bee048db0bea2https://doi.org/10.1017/s0022112074001121
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