Further observations on the mean velocity distribution in fully developed pipe flow

B. J. McKeon, J. Li, W. Jiang, J. F. Morrison, A. J. Smits

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The measurements by Zagarola and Smits (1998) of mean velocity profiles in fully developed turbulent pipe flow are repeated using a smaller Pitot probe to reduce the uncertainties due to velocity gradient corrections. A new static pressure correction (McKeon & Smits 2002) is used in analysing all data and leads to significant differences from the Zagarola & Smits conclusions. The results confirm the presence of a power-law region near the wall and, for Reynolds numbers greater than 230 × 103 (R+ > 5 × 103), a logarithmic region further out, but the limits of these regions and some of the constants differ from those reported by Zagarola & Smits. In particular, the log law is found for 600 < y+ < 0.12R+ (instead of 600 < y+ < 0.07R+), and the von Kármán constant κ, the additive constant B for the log law using inner flow scaling, and the additive constant B• for the log law using outer scaling are found to be 0.421 ± 0.002, 5.60 ± 0.08 and 1.20 ± 0.10, respectively, with 95% confidence level (compared with 0.436 ± 0.002, 6.15 ± 0.08, and 1.51 ± 0.03 found by Zagarola & Smits). The data also confirm that the pipe flow data for ReD ≤ 13.6 × 106 (as a minimum) are not affected by surface roughness.

Original languageEnglish (US)
Pages (from-to)135-147
Number of pages13
JournalJournal of Fluid Mechanics
StatePublished - Feb 25 2004

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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