Bulk flow scaling for turbulent channel and pipe flows

Xi Chen, Fazle Hussain, Zhen Su She

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We report a theory deriving bulk flow scaling for canonical wall-bounded flows. The theory accounts for the symmetries of boundary geometry (flat plate channel vs. circular pipe) by a variational calculation for a large-scale energy length, which characterizes its bulk flow scaling by a simple exponent, i.e., m = 4 for the channel and 5 for the pipe. The predicted mean velocity shows excellent agreement with several dozen sets of quality empirical data for a wide range of the Reynolds number (Re), with a universal bulk flow constant k ≈ 0.45. Predictions for dissipation and turbulent transport in the bulk flow are also given, awaiting data verification.

Original languageEnglish (US)
Article number34001
Issue number3
StatePublished - Aug 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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