Log laws or power laws: The scaling in the overlap region

M. V. Zagarola, A. E. Perry, A. J. Smits

Research output: Contribution to journalArticle

102 Scopus citations

Abstract

The scaling in the overlap region of turbulent wall-bounded flows has long been the source of controversy, and until recently this controversy could not be addressed because measurements did not span a sufficient range of Reynolds number. Mean velocity surveys performed in a new pipe flow experiment span a very large range of Reynolds numbers, 31×103 to 35×106 (based on average velocity and diameter). Here, these experimental data are used to evaluate theories on the scaling in the overlap region. At sufficiently high Reynolds numbers, the mean velocity profile in the overlap region is found to be better represented by a log law than a power law. These results suggest a theory of complete similarity instead of incomplete similarity, contradicting the theories recently developed by Barenblatt et al.

Original languageEnglish (US)
Pages (from-to)2094-2100
Number of pages7
JournalPhysics of Fluids
Volume9
Issue number7
DOIs
StatePublished - Jul 1997

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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    Zagarola, M. V., Perry, A. E., & Smits, A. J. (1997). Log laws or power laws: The scaling in the overlap region. Physics of Fluids, 9(7), 2094-2100. https://doi.org/10.1063/1.869328