Journal article

Third-order structure function in the logarithmic layer of boundary-layer turbulence

JH Xie, C De Silva, R Baidya, XIA Yang, R Hu

Physical Review Fluids | Published : 2021

Abstract

Townsend's attached eddy hypothesis (AEH) gives an accurate phenomenological description of the flow kinematics in the logarithmic layer, but it suffers from two major weaknesses. First, AEH does not predict the constants in its velocity scalings, and second, none of the predicted velocity scalings can be obtained from the Navier-Stokes (NS) equations under AEH's assumptions. These two weaknesses separate AEH from more credible theories like Kolmogorov's theory of homogeneous isotropic turbulence, which, despite its phenomenological nature, has one velocity scaling, i.e., Δu3=-(4/5)ϵr, that can be derived from the NS equation. Here, Δu3 is the longitudinal third-order structure function, ϵ i..

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