A multi-layer model for turbulent kinetic energy in pipe flows

Abstract

A multi-layer model of an energy length function is developed by employing recent results of the authors. The theory predicts the complete, mean streamwise turbulent kinetic-energy profile (MKP), in good agreement with empirical data for a wide range of Reynolds numbers (Re). In particular, a critical $R{e}_{\tau }$ is predicted, beyond which a scaling anomaly appears and MKP develops a second peak.

This paper has been withdrawn by the author, while new results can be seen in the paper arXiv:1209.4154

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