2023-10-03T04:18:44Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:02005321
2023-04-10T00:52:49Z
320:321:322
Energy dissipation rate in the inertial sublayer of turbulent channel flow at large but finite Reτ
Yamamoto, Yoshinobu
Kaneda, Yukio
Tsuji, Yoshiyuki
This paper presents a theory of the position dependence of the statistical average ⟨ɛ⟩ of the energy dissipation rate ε per unit mass in the inertial sublayer of turbulent channel flow. The theory gives ⟨ɛ⟩y/u3τ∼1/κɛ+Cp(y/h)+Cv(lτ/y) for small but finite ratios y/h and lτ/y, at large but finite friction Reynolds number Reτ=h/lτ, where y is the distance from the wall, h is the channel half-width, uτ and lτ are the friction velocity and length respectively, and κɛ, Cp, and Cv are nondimensional constants. The theory agrees well with the data of a series of direct numerical simulations of turbulent channel flow with Reτ up to approximately 8000. The data suggest κɛ≈0.44, which is distinctively different from the widely accepted value (≈0.40 or so) for the von Kármán constant for the mean velocity in the log-law region of wall-bounded flows.
journal article
American Physical Society
2023-03-27
application/pdf
Physical Review Fluids
8
034606
2469-990X
https://nagoya.repo.nii.ac.jp/record/2005321/files/PhysRevFluids_8_034606.pdf
eng
https://doi.org/10.1103/PhysRevFluids.8.034606
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