On skin friction in wall-bounded turbulence

Zhenhua Xia, Peng Zhang, Xiang I.A. Yang

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Abstract: In this paper, we derive mathematical formulas for the skin friction coefficient in wall-bounded turbulence based on the Reynolds averaged streamwise momentum equation and the total stress. Specifically, with a theoretical or empirical relation of the total stress, the skin friction coefficient is expressed in terms of the mean velocity and the Reynolds shear stress in an arbitrary wall-normal region [ h, h1]. The formulas are validated using direct numerical simulation data of turbulent channel and boundary layer flows, and the results show that our formulas estimate the skin friction coefficient very accurately with an error less than 2 %. The present integral formula can be used to determine the skin friction in turbulent channel and boundary layer flows at high Reynolds numbers where the near-wall statistics are very difficult to measure accurately. Graphic abstract: [Figure not available: see fulltext.]

Original languageEnglish (US)
Pages (from-to)589-598
Number of pages10
JournalActa Mechanica Sinica/Lixue Xuebao
Issue number4
StatePublished - Apr 2021

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering


Dive into the research topics of 'On skin friction in wall-bounded turbulence'. Together they form a unique fingerprint.

Cite this