2020/06/24 by Björn Birnir, Birnir, Björn, Luiza Angheluta +5
Engineering · Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #Soft Condensed Matter (cond-mat.soft) #Wind and Air Flow Studies #cond-mat.soft #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.2006.13445
arxiv created 2020/06/24 · openalex publication_date 2020/06/24 · arxiv updated 2020/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a minimal spectral theory for boundary layer turbulence that captures very well the profile of the mean square velocity fluctuations in the stream-wise direction, and gives a quantitative prediction of the Townsend-Perry constants. The phenomenological model is based on connecting the statistics in the streamwise direction with the energy spectrum of the streamvise velocity fluctuations. The original spectral theory was proposed earlier to explain the friction factor and the von Kármán law. We generalized it by including fluctuations in the wall-shear stress and the streamwise velocity. The predicted profiles for the mean velocity and mean square fluctuations are compared with velocity data from wind tunnel experiments.