Export citation

Export citation

Choose format for download:

Download Citation
  • Letter

Characteristics of the inertial layer in turbulent channel flow at a friction Reynolds number of approximately 16 000

Yoshinobu Yamamoto*

Yoshiyuki Tsuji†

  • Department of Energy Science and Engineering, Nagoya University, Furo, Chikusa, Nagoya 464-8601, Japan

  • *Contact author: yamamotoy@yamanashi.ac.jp
  • †Contact author: c42406a@nucc.cc.nagoya-u.ac.jp

Phys. Rev. Fluids 11, L112601 – Published 2 November, 2026

DOI: https://doi.org/10.1103/ccj3-w1df

Abstract

A direct numerical simulation of turbulent channel flow at Reτ≈16000 has been performed, providing a channel-flow DNS in a Reynolds-number regime where inertial-layer behavior can be examined directly. Theoretical predictions associated with the inertial layer are assessed through the corresponding wall-normal derivative forms, allowing the wall-normal locations at which these asymptotic behaviors emerge to be identified quantitatively. The wall-normal Reynolds normal stress exhibits the clearest agreement with theory, allowing a candidate inertial-layer region to be identified directly. The dissipation-rate scaling is independently found to be consistent with the same wall-normal interval. These results provide direct evidence that inertial-layer behavior becomes observable at Reτ≈16000. The mean velocity exhibits two logarithmic-region candidates: one near the Reynolds-stress peak and another near the upper edge of the inner layer. The Reynolds normal stresses and dissipation rate also exhibit trends broadly consistent with their corresponding asymptotic predictions. However, the wall-normal locations at which these predictions are realized differ among the turbulence quantities. The present results suggest that inertial-layer behavior emerges progressively with increasing Reynolds number and that the degree of realization remains quantity dependent.

Physics Subject Headings (PhySH)

Authorization Required

We need you to provide your credentials before accessing this content.

Supplemental Material (Subscription Required)

References (Subscription Required)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation