Conditional correlation between a passive scalar and its dissipation in a turbulent boundary layer

1999 
A study of the conditional correlation between a passive scalar and its dissipation offers an interesting strategy for understanding turbulence properties associated with both large and small scales. This correlation is investigated with particular emphasis on the dominant coherent motions in turbulent boundary layers; namely, sweeps and ejections, using a local cross-correlation analysis based on the wavelet transform. Contributions to the three temperature derivatives show different features, reflecting clear “local” departures from isotropy. This property of coherent motions is investigated through the conditional cross-spectra inferred from the wavelet analysis, which provides localized scale decomposition of the quantity under consideration, and is translated in the spectral domain. These decompositions indicate the particular coherent motions of the flow which most contribute to the conditional correlation between temperature and its dissipation.
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