title: Anomalous dissipation and kinetic-energy distribution in pipes at very high Reynolds numbers.
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 10^{4}, 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.
authors: State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics, College of Engineering, Peking University, Beijing 100871, China.|Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas, 79409-1021, USA.
authors: Xi
authors: X
authors: Chen
authors: State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics, College of Engineering, Peking University, Beijing 100871, China.
authors: Bo-Bo
authors: BB
authors: Wei
authors: State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics, College of Engineering, Peking University, Beijing 100871, China.|Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas, 79409-1021, USA.
authors: Fazle
authors: F
authors: Hussain
authors: State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics, College of Engineering, Peking University, Beijing 100871, China.
authors: Zhen-Su
authors: ZS
authors: She