Existence and properties of the logarithmic layer in oscillating flows

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

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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
JournalIAHR Journal of Hydraulic Research
DOIs
Publication statusE-pub ahead of print - 1 Nov 2019

Fingerprint

Oscillating flow
oscillating flow
Reynolds number
water depth
Wall flow
Direct numerical simulation
large eddy simulation
Large eddy simulation
turbulent flow
simulation
Water
Boundary layers
friction
boundary layer
Friction

Keywords

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

Cite this

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title = "Existence and properties of the logarithmic layer in oscillating flows",
abstract = "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 K{\'a}rm{\'a}n 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 K{\'a}rm{\'a}n 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.",
keywords = "Boundary layer turbulence, direct numerical simulations, large eddy simulations, logarithmic layer, oscillatory flows, von K{\'a}rm{\'a}n constant, von Karman constant",
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Existence and properties of the logarithmic layer in oscillating flows. / Kaptein, Steven J.; Duran-Matute, Matias; Roman, Federico; Armenio, Vincenzo; Clercx, Herman J.H.

In: IAHR Journal of Hydraulic Research, 01.11.2019.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Existence and properties of the logarithmic layer in oscillating flows

AU - Kaptein, Steven J.

AU - Duran-Matute, Matias

AU - Roman, Federico

AU - Armenio, Vincenzo

AU - Clercx, Herman J.H.

PY - 2019/11/1

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N2 - 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.

AB - 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.

KW - Boundary layer turbulence

KW - direct numerical simulations

KW - large eddy simulations

KW - logarithmic layer

KW - oscillatory flows

KW - von Kármán constant

KW - von Karman constant

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