2023-09-22T05:52:23Z
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
open access
© 2023 American Physical Society
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.
American Physical Society
2023-03-27
eng
journal article
VoR
http://hdl.handle.net/2237/0002005321
https://nagoya.repo.nii.ac.jp/records/2005321
https://doi.org/10.1103/PhysRevFluids.8.034606
2469-990X
Physical Review Fluids
8
034606
https://nagoya.repo.nii.ac.jp/record/2005321/files/PhysRevFluids_8_034606.pdf
application/pdf
1.2 MB
2023-04-03