Abstract
This paper presents a theory of the position dependence of the statistical average of the energy dissipation rate ε per unit mass in the inertial sublayer of turbulent channel flow. The theory gives for small but finite ratios and , at large but finite friction Reynolds number , where is the distance from the wall, is the channel half-width, and are the friction velocity and length respectively, and , , and are nondimensional constants. The theory agrees well with the data of a series of direct numerical simulations of turbulent channel flow with up to approximately 8000. The data suggest , which is distinctively different from the widely accepted value ( or so) for the von Kármán constant for the mean velocity in the log-law region of wall-bounded flows.
- Received 9 August 2022
- Accepted 10 March 2023
DOI:https://doi.org/10.1103/PhysRevFluids.8.034606
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