2017/08/04 by T. W. Lee, T. -W. Lee, Lee, T. -W.
Engineering · Physics and Astronomy · #Classical mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Heat Transfer Mechanisms #K-epsilon turbulence model #K-omega turbulence model #Mechanics #Momentum (technical analysis) #Momentum transfer #Optics #Phase Equilibria and Thermodynamics #Physics #Reynolds decomposition #Reynolds number #Reynolds stress #Reynolds stress equation model #Statistical physics #Turbulence #Turbulence modeling #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1708.01612
arXiv admin note: text overlap with arXiv:1708.00966
openalex publication_date 2017/08/04 · arxiv created 2017/08/15 · arxiv updated 2017/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a unique method for solving for the Reynolds stress in turbulent canonical flows, based on the momentum balance for a control volume moving at the local mean velocity. A differential transform converts this momentum balance to a solvable form. Comparisons with experimental and computational data in simple geometries show quite good agreements. An alternate picture for the turbulence momentum transport is offered, as verified with data, where the turbulence momentum is transported by the mean velocity while being dissipated by viscosity. The net momentum transport is the Reynolds stress. This turbulence momentum balance is verified using DNS and experimental data. Implications of this work are that the Reynolds stress can be written explicitly in terms of basic turbulence parameters in a simple form, derived from pure fluid physics, and that potential exists for applications of this concept to more complex turbulent flows.