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• W2576333719 abstract "Direct numerical simulation data for channel flow at a friction Reynolds number of 4200, generated by Lozano-Durán and Jiménez [J. Fluid Mech. 759, 432 (2014)], are used to examine the properties of near-wall turbulence within subranges of eddy-length scale. Attention is primarily focused on the intermediate layer (mesolayer) covering the logarithmic velocity region within the range of wall-scaled wall-normal distance of 80–1500. The examination is based on a number of statistical properties, including premultiplied and compensated spectra, the premultiplied derivative of the second-order structure function, and three scalar parameters that characterize the anisotropic or isotropic state of the various length-scale subranges. This analysis leads to the delineation of three regions within the map of wall-normal-wise premultiplied spectra, each characterized by distinct turbulence properties. A question of particular interest is whether the Townsend-Perry attached-eddy hypothesis (AEH) can be shown to be valid across the entire mesolayer, in contrast to the usual focus on the outer portion of the logarithmic-velocity layer at high Reynolds numbers, which is populated with very-large-scale motions. This question is addressed by reference to properties in the premultiplied scalewise derivative of the second-order structure function (PMDS2) and joint probability density functions of streamwise-velocity fluctuations and their streamwise and spanwise derivatives. This examination provides evidence, based primarily on the existence of a plateau region in the PMDS2, for the qualified validity of the AEH right down the lower limit of the logarithmic velocity range.11 MoreReceived 1 August 2016DOI:https://doi.org/10.1103/PhysRevFluids.2.014603©2017 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasStructure & turbulence of boundary layersTurbulenceFluid Dynamics" @default.
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• W2576333719 date "2017-01-18" @default.
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• W2576333719 title "Spectral analysis of near-wall turbulence in channel flow at <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi mathvariant=normal>Re</mml:mi><mml:mi>τ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>4200</mml:mn></mml:mrow></mml:math> with emphasis on the attached-eddy hypothesis" @default.
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• W2576333719 doi "https://doi.org/10.1103/physrevfluids.2.014603" @default.
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