Anomalous dissipation and kinetic-energy distribution in pipes at very high Reynolds numbers

Xi Chen, Bo Bo Wei, Fazle Hussain, Zhen Su She

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Abstract

A symmetry-based theory is developed for the description of (streamwise) kinetic energy K in turbulent pipes at extremely high Reynolds numbers (Re's). The theory assumes a mesolayer with continual deformation of wall-attached eddies which introduce an anomalous dissipation, breaking the exact balance between production and dissipation. An outer peak of K is predicted above a critical Re of 104, in good agreement with experimental data. The theory offers an alternative explanation for the recently discovered logarithmic distribution of K. The concept of anomalous dissipation is further supported by a significant modification of the k-ω equation, yielding an accurate prediction of the entire K profile.

Original languageEnglish
Article number011102
JournalPhysical Review E
Volume93
Issue number1
DOIs
StatePublished - Jan 25 2016

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