@article{oai:nagoya.repo.nii.ac.jp:02005321, author = {Yamamoto, Yoshinobu and Kaneda, Yukio and Tsuji, Yoshiyuki}, journal = {Physical Review Fluids}, month = {Mar}, note = {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.}, title = {Energy dissipation rate in the inertial sublayer of turbulent channel flow at large but finite Reτ}, volume = {8}, year = {2023} }