Effect of the water depth on oscillatory flows over a flat plate: from the intermittent towards the fully turbulent regime

S.J. Kaptein (Corresponding author), M. Duran Matute, Federico Roman, V. Armenio, H.J.H. Clercx

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Abstract

We performed high-resolution numerical simulations of a turbulent flow driven by an oscillating uniform pressure gradient. The purpose was to investigate the influence of a reduced water depth h on the structure and dynamics of the turbulent boundary layer and the transition towards a fully turbulent flow. The study is motivated by applications of oscillatory flows, such as tides, in which h is of the same order of magnitude as the thickness of the turbulent boundary layer δ. It was found that, if h∼ δ, the turbulent flow is characterized by (1) an increase of the magnitude of the surface velocity, (2) an increase in the magnitude of the wall shear stress and (3) a phase lead of the velocity profiles, all with respect to the reference case for which h≫ δ. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds number is too small and h∼ δ, the flow relaminarizes.

Original languageEnglish
Pages (from-to)1167-1184
Number of pages18
JournalEnvironmental Fluid Mechanics
Volume19
Issue number5
DOIs
Publication statusPublished - 1 Oct 2019

Fingerprint

oscillating flow
turbulent flow
Turbulent flow
turbulent boundary layer
water depth
Water
Boundary layers
laminar flow
Tides
velocity profile
Pressure gradient
Laminar flow
pressure gradient
Reynolds number
shear stress
Shear stress
tide
Computer simulation
simulation
effect

Keywords

  • Large eddy simulation
  • Oscillatory flow
  • Shallow flow
  • Turbulence

Cite this

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title = "Effect of the water depth on oscillatory flows over a flat plate: from the intermittent towards the fully turbulent regime",
abstract = "We performed high-resolution numerical simulations of a turbulent flow driven by an oscillating uniform pressure gradient. The purpose was to investigate the influence of a reduced water depth h on the structure and dynamics of the turbulent boundary layer and the transition towards a fully turbulent flow. The study is motivated by applications of oscillatory flows, such as tides, in which h is of the same order of magnitude as the thickness of the turbulent boundary layer δ. It was found that, if h∼ δ, the turbulent flow is characterized by (1) an increase of the magnitude of the surface velocity, (2) an increase in the magnitude of the wall shear stress and (3) a phase lead of the velocity profiles, all with respect to the reference case for which h≫ δ. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds number is too small and h∼ δ, the flow relaminarizes.",
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Effect of the water depth on oscillatory flows over a flat plate: from the intermittent towards the fully turbulent regime. / Kaptein, S.J. (Corresponding author); Duran Matute, M.; Roman, Federico; Armenio, V.; Clercx, H.J.H.

In: Environmental Fluid Mechanics, Vol. 19, No. 5, 01.10.2019, p. 1167-1184.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Effect of the water depth on oscillatory flows over a flat plate: from the intermittent towards the fully turbulent regime

AU - Kaptein, S.J.

AU - Duran Matute, M.

AU - Roman, Federico

AU - Armenio, V.

AU - Clercx, H.J.H.

PY - 2019/10/1

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N2 - We performed high-resolution numerical simulations of a turbulent flow driven by an oscillating uniform pressure gradient. The purpose was to investigate the influence of a reduced water depth h on the structure and dynamics of the turbulent boundary layer and the transition towards a fully turbulent flow. The study is motivated by applications of oscillatory flows, such as tides, in which h is of the same order of magnitude as the thickness of the turbulent boundary layer δ. It was found that, if h∼ δ, the turbulent flow is characterized by (1) an increase of the magnitude of the surface velocity, (2) an increase in the magnitude of the wall shear stress and (3) a phase lead of the velocity profiles, all with respect to the reference case for which h≫ δ. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds number is too small and h∼ δ, the flow relaminarizes.

AB - We performed high-resolution numerical simulations of a turbulent flow driven by an oscillating uniform pressure gradient. The purpose was to investigate the influence of a reduced water depth h on the structure and dynamics of the turbulent boundary layer and the transition towards a fully turbulent flow. The study is motivated by applications of oscillatory flows, such as tides, in which h is of the same order of magnitude as the thickness of the turbulent boundary layer δ. It was found that, if h∼ δ, the turbulent flow is characterized by (1) an increase of the magnitude of the surface velocity, (2) an increase in the magnitude of the wall shear stress and (3) a phase lead of the velocity profiles, all with respect to the reference case for which h≫ δ. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds number is too small and h∼ δ, the flow relaminarizes.

KW - Large eddy simulation

KW - Oscillatory flow

KW - Shallow flow

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