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In the mixing layer, rescaling of the secondary instability lags the primary; in the wake they appear to proceed together. This continuously rescaled large structure dominates the smaller structures which evolve from convectively developing chaos and from higher-order instabilities. 4. IMPLICATIONS AND APPLICATIONS OF COHERENT STRUCTURE The developing knowledge of coherent structure has been useful in various aspects of turbulent shear flow, in ways that were usually not accessible within the context of traditional modelling.

SUMMARY AND CONCLUDING REMARKS The evidence that turbulent shear flows contain organized structure, and the idea that they are related to hydrodynamic instability in the mean turbulent flow, have been around for a long time, cf. the reviews by Liepmann (1952, 1962). Only recently have they fully come 18 together in the view that the primary instability due to the mean global vorticity distribution is the driving mechanism for the developing turbulent flow. The genesis of the turbulence is in that instability.

It also follows that sufficiently far from the origin of the jet, in the "far field" where the initial geometrical details should no longer be important, the jet development depends only on the distance xr from its origin and on global parameters, namely the thrust F and the ambient density p. Dimensional analysis then tells us that the jet thickness 6(x) must be proportional to X and the jet grows at a constant rate db//dr which must be the same for all free jets. Thus laboratory measurements at Re --- 1(4, where 10)-2fT 1 j, "predict" that for all higher Reynolds 4 Fig.

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International Union of Theoretical and Applied Mechanics (IUTAM) symposium on Aerothermodynamics in Combustors by NATIONAL TAIWAN UNIV TAIPEI INST OF APPLIED MECHANICS


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