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. It was found that, if H ~ delta, the turbulent flow is characterized by (i) an increase of the magnitude of the surface velocity, (ii) an increase in the magnitude of the wall shear stress and (iii) a phase lead of the velocity profiles, all with respect to the reference case for which H>>delta. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds numbers is too small and H ~ delta, the flow relaminarizes.
LanguageEnglish
JournalEnvironmental Fluid Mechanics
DOIs
StateE-pub ahead of print - 23 Feb 2019

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

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. It was found that, if H ~ delta, the turbulent flow is characterized by (i) an increase of the magnitude of the surface velocity, (ii) an increase in the magnitude of the wall shear stress and (iii) a phase lead of the velocity profiles, all with respect to the reference case for which H>>delta. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds numbers is too small and H ~ delta, the flow relaminarizes.",
author = "S.J. Kaptein and {Duran Matute}, M. and Federico Roman and V. Armenio and H.J.H. Clercx",
year = "2019",
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doi = "10.1007/s10652-019-09671-3",
language = "English",
journal = "Environmental Fluid Mechanics",
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TY - JOUR

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 - 2019/2/23

Y1 - 2019/2/23

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. It was found that, if H ~ delta, the turbulent flow is characterized by (i) an increase of the magnitude of the surface velocity, (ii) an increase in the magnitude of the wall shear stress and (iii) a phase lead of the velocity profiles, all with respect to the reference case for which H>>delta. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds numbers is too small and H ~ delta, 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. It was found that, if H ~ delta, the turbulent flow is characterized by (i) an increase of the magnitude of the surface velocity, (ii) an increase in the magnitude of the wall shear stress and (iii) a phase lead of the velocity profiles, all with respect to the reference case for which H>>delta. These results are in agreement with analytical solutions for a laminar oscillatory flow. Nevertheless, if the value of the Reynolds numbers is too small and H ~ delta, the flow relaminarizes.

U2 - 10.1007/s10652-019-09671-3

DO - 10.1007/s10652-019-09671-3

M3 - Article

JO - Environmental Fluid Mechanics

T2 - Environmental Fluid Mechanics

JF - Environmental Fluid Mechanics

SN - 1567-7419

ER -