2020/10/19 by William K. George, Michel Stanislas, George, William K. +7
Engineering · Environmental Science · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #Wind and Air Flow Studies
paper · pdf · doi:10.48550/arxiv.2010.09348
openalex publication_date 2020/10/19 · openalex created_date 2020/10/22 · openalex updated_date 2026/07/28
An experiment was performed using Dual-plane-SPIV in the LMFL boundary layer facility to determine all of the derivative moments needed to estimate the average dissipation rate of the turbulent kinetic energy, ε, and its Reynolds stress counterpart the dissipation tensor, εij. For this experiment, the Reynolds number was Reθ= 7500 or Reτ= 2300. Part I of this contribution \citestanislas20 presented in short the experiment and discussed in detail the dissipation profile and all twelve derivative moments required to compute it. The data were compared to a channel flow DNS at approximately the same Reynolds number and to previous results. They were also used to evaluate recent theoretical results for the overlap region. In this Part II the experimental and DNS results are used to evaluate the assumptions of `local isotropy', `local axisymmetry', and `local homogeneity'. They are extended to include the full dissipation tensor, εij and the `pseudo-dissipation tensor', Dij and explain the strong anisotropy of the dissipation tensors observed. Two important results of the present study are that \it local isotropy is never valid inside the outer limit of the overlap region, y/δ99 ≈ 0.1; and that the assumptions of \it local axisymmetry and \it local homogeneity fail inside of y+ =100. The implications of \it homogeneity in planes parallel to the wall is introduced to partially explain observations throughout the wall layer. The dissipation characteristics in this very near wall region show that εij is close to but different from Dij .