Scaling of global properties of turbulence and skin friction in pipe and channel flows

Victor Yakhot, Sean C.C. Bailey, Alexander J. Smits

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate are presented. It is shown that while in the interval ReD > 105 the total kinetic energy scales with friction velocity (K/u*2 = const), a new scaling law K/U2∝ K/(u*2ReD θ) = const (θ≈1/4) has been discovered in the interval ReD < 105. It is argued that this transition is responsible for the well-known change in the scaling behaviour of the friction factor observed in pipe and channels flows at ReD≈ 105.

Original languageEnglish (US)
Pages (from-to)65-73
Number of pages9
JournalJournal of Fluid Mechanics
Volume652
DOIs
StatePublished - Jun 2010

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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