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Profiles of high-order moments of longitudinal velocity explained by the random sweeping decorrelation hypothesis

Kelly Y. Huang*

Gabriel G. Katul

  • Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708, USA

  • *Present address: Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, Indiana 46556, USA; yhuang28@nd.edu
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Phys. Rev. Fluids 7, 044603 – Published 19 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.044603

Abstract

Under the assumptions that the random sweeping decorrelation hypothesis applies and that the velocity statistics are near Gaussian, the logarithmic variation of high-order moments of longitudinal velocity with distance from a boundary in the inertial region (where the logarithmic law holds for the mean longitudinal velocity) is explained by the existence of a −1 power law in the longitudinal velocity spectrum. During the idealized horizontal planar array study for quantifying surface heterogeneity, measurements and profiles of longitudinal velocity were collected within the first meter from the surface under mild atmospheric thermal stratification. These measurements show good agreement with the proposed theory. Further investigation into the validity of the random sweeping decorrelation hypothesis reveals that it is not strictly valid across all scales but can be viewed as operationally viable due to inherent cancellation in its interaction terms. More importantly, deviations from the random sweeping decorrelation hypothesis predictions appear consistent across the logarithmic region and captured by a quasiconstant, suggesting possible avenues for correction in the modeling of high-order moments.

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Phys. Rev. Fluids 7, 044603– Published 19 April, 2022
  • Received 15 November 2021
  • Accepted 30 March 2022
Article part of CHORUS
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