Evolution of eddy viscosity in the wake of a wind turbine

<p>The eddy viscosity hypothesis is a popular method in wind turbine wake modeling for estimating turbulent Reynolds stresses. We document the downstream evolution of eddy viscosity in the wake of a wind turbine from experimental and large-eddy-simulation data. Wake eddy viscosity is isolated...

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Main Authors: R. Scott, L. Martínez-Tossas, J. Bossuyt, N. Hamilton, R. B. Cal
Format: Article
Language:English
Published: Copernicus Publications 2023-03-01
Series:Wind Energy Science
Online Access:https://wes.copernicus.org/articles/8/449/2023/wes-8-449-2023.pdf
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author R. Scott
L. Martínez-Tossas
J. Bossuyt
N. Hamilton
R. B. Cal
author_facet R. Scott
L. Martínez-Tossas
J. Bossuyt
N. Hamilton
R. B. Cal
author_sort R. Scott
collection DOAJ
description <p>The eddy viscosity hypothesis is a popular method in wind turbine wake modeling for estimating turbulent Reynolds stresses. We document the downstream evolution of eddy viscosity in the wake of a wind turbine from experimental and large-eddy-simulation data. Wake eddy viscosity is isolated from its surroundings by subtracting the inflow profile, and the driving forces are identified in each wake region. Eddy viscosity varies in response to changes in turbine geometry and nacelle misalignment with larger turbines generating stronger velocity gradients and shear stresses. We propose a model for eddy viscosity based on a Rayleigh distribution. Model parameters are obtained from scaling the eddy viscosity hypothesis and demonstrate satisfactory agreement with the reference data. The model is implemented in the curled wake formulation in the FLOw Redirection and Induction in Steady State (FLORIS) framework and assessed through comparisons with the previous formulation. Our approach produced more accurate flow field estimates with lower total error for the majority of cases.</p>
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spelling doaj.art-67388e518c1b4f669456d4474aac9f6c2023-03-30T07:37:19ZengCopernicus PublicationsWind Energy Science2366-74432366-74512023-03-01844946310.5194/wes-8-449-2023Evolution of eddy viscosity in the wake of a wind turbineR. Scott0L. Martínez-Tossas1J. Bossuyt2N. Hamilton3R. B. Cal4Department of Mechanical Engineering, Portland State University, Portland, Oregon, USANational Renewable Energy Lab, Golden, Colorado, USADepartment of Mechanical Engineering, Portland State University, Portland, Oregon, USANational Renewable Energy Lab, Golden, Colorado, USADepartment of Mechanical Engineering, Portland State University, Portland, Oregon, USA<p>The eddy viscosity hypothesis is a popular method in wind turbine wake modeling for estimating turbulent Reynolds stresses. We document the downstream evolution of eddy viscosity in the wake of a wind turbine from experimental and large-eddy-simulation data. Wake eddy viscosity is isolated from its surroundings by subtracting the inflow profile, and the driving forces are identified in each wake region. Eddy viscosity varies in response to changes in turbine geometry and nacelle misalignment with larger turbines generating stronger velocity gradients and shear stresses. We propose a model for eddy viscosity based on a Rayleigh distribution. Model parameters are obtained from scaling the eddy viscosity hypothesis and demonstrate satisfactory agreement with the reference data. The model is implemented in the curled wake formulation in the FLOw Redirection and Induction in Steady State (FLORIS) framework and assessed through comparisons with the previous formulation. Our approach produced more accurate flow field estimates with lower total error for the majority of cases.</p>https://wes.copernicus.org/articles/8/449/2023/wes-8-449-2023.pdf
spellingShingle R. Scott
L. Martínez-Tossas
J. Bossuyt
N. Hamilton
R. B. Cal
Evolution of eddy viscosity in the wake of a wind turbine
Wind Energy Science
title Evolution of eddy viscosity in the wake of a wind turbine
title_full Evolution of eddy viscosity in the wake of a wind turbine
title_fullStr Evolution of eddy viscosity in the wake of a wind turbine
title_full_unstemmed Evolution of eddy viscosity in the wake of a wind turbine
title_short Evolution of eddy viscosity in the wake of a wind turbine
title_sort evolution of eddy viscosity in the wake of a wind turbine
url https://wes.copernicus.org/articles/8/449/2023/wes-8-449-2023.pdf
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