Existence and properties of the logarithmic layer in oscillating flows

Steven J. Kaptein, Matias Duran-Matute (Corresponding author), Federico Roman, Vincenzo Armenio, Herman J.H. Clercx

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)


The existence and properties of the logarithmic layer in a turbulent streamwise oscillating flow are investigated through direct numerical simulations and wall-resolved large-eddy simulations. The phase dependence of the von Kármán constant and the logarithmic layer intercept is explored for different values of the Reynolds number and the depth-ratio between the water depth and the Stokes boundary layer thickness. The logarithmic layer exists for a longer fraction of the oscillating period and a larger fraction of the water depth with increasing values of the Reynolds number. However, the values of both the von Kármán and the intercept depend on the phase, the Reynolds number and depth-ratio. Additionally, the simulations characterized by a low value of the depth-ratio and Reynolds number show intermittent existence of the logarithmic layer. Finally, the Reynolds number based on the friction velocity does not support a previously mentioned analogy between oscillatory flows and steady wall-bounded flows.

Original languageEnglish
Pages (from-to)687-700
Number of pages14
JournalIAHR Journal of Hydraulic Research
Issue number4
Publication statusPublished - 22 Jul 2020


  • Boundary layer turbulence
  • direct numerical simulations
  • large eddy simulations
  • logarithmic layer
  • oscillatory flows
  • von Kármán constant
  • von Karman constant


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