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Reynolds Number Dependence of the Amplitude Modulated Near-Wall Cycle

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Progress in Wall Turbulence: Understanding and Modeling

Part of the book series: ERCOFTAC Series ((ERCO,volume 14))

Abstract

The interaction in turbulent boundary layers between very large scale motions centred nominally in the log region (termed superstructures) and the small scale motions is investigated across the boundary layer. This analysis is performed using tools based on Hilbert transforms. The results, across a large Reynolds number range, show that in addition to the large-scale log region structures superimposing a footprint (or mean shift) on to the near-wall fluctuations, the small-scale structures are also subject to a high degree of amplitude modulation due to the large structures. The amplitude modulation effect is seen to become progressively stronger as the Reynolds number increases.

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Acknowledgements

We gratefully acknowledge the financial support of the Australian Research Council through grants DP0663499, FF0668703, and DP0984577.

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Correspondence to Ivan Marusic .

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Marusic, I., Mathis, R., Hutchins, N. (2011). Reynolds Number Dependence of the Amplitude Modulated Near-Wall Cycle. In: Stanislas, M., Jimenez, J., Marusic, I. (eds) Progress in Wall Turbulence: Understanding and Modeling. ERCOFTAC Series, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9603-6_11

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