Abstract
The space-time description of the organised structures in a supersonic mixing layer with a convective Mach number of 0.6 is given. Fourier analysis gives some evidence of the existence of large scales nearly periodic in time, but gives only global information on length and velocity scales. A new method based on the wavelet transform is then proposed to perform a space-time analysis localised in time. It is used to detect and to analyse such structures, in particular to determine their convection velocity. Characteristic time and length scales are given and compared with the scales deduced from the spectral analysis. The results are used to extract the contribution of the large scales to the turbulence signal. The flow under examination has a convective Mach number of 0.6. Therefore, in contrast with subsonic mixing layers, there are probably significant three-dimensional effects. Results on spacing between large eddies are discussed in terms of merging processes and of three-dimensional effects. A conclusion is that diffusion and/or entrainment are modified rather than the type and frequency of merging.
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Dupont, P., Muscat, P. & Dussauge, J. Localisation of Large Scale Structures in a Supersonic Mixing Layer: A New Method and First Analysis. Flow, Turbulence and Combustion 62, 335–358 (1999). https://doi.org/10.1023/A:1009979903970
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DOI: https://doi.org/10.1023/A:1009979903970