DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Evolution of eddy viscosity in the wake of a wind turbine

Journal Article · · Wind Energy Science (Online)

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.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Wind Energy Technologies Office
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
2005559
Report Number(s):
NREL/JA-5000-87589; MainId:88364; UUID:c1b077d7-9713-4692-9d39-e8f0bad68354; MainAdminID:70703
Journal Information:
Wind Energy Science (Online), Vol. 8, Issue 3; ISSN 2366-7451
Publisher:
Copernicus PublicationsCopyright Statement
Country of Publication:
United States
Language:
English

References (31)

Quantification of wake shape modulation and deflection for tilt and yaw misaligned wind turbines journal April 2021
Anisotropy of the Reynolds stress tensor in the wakes of wind turbine arrays in Cartesian arrangements with counter-rotating rotors journal January 2015
Wind-Turbine and Wind-Farm Flows: A Review journal September 2019
A vortex sheet based analytical model of the curled wake behind yawed wind turbines journal December 2021
Assessing intermittency characteristics via cumulant analysis of floating wind turbines wakes journal January 2021
Experimental and theoretical study of wind turbine wakes in yawed conditions journal October 2016
Comparison of modular analytical wake models to the Lillgrund wind plant journal September 2020
Experimental Study on Influence of Pitch Motion on the Wake of a Floating Wind Turbine Model journal March 2014
Generation and decay of counter-rotating vortices downstream of yawed wind turbines in the atmospheric boundary layer journal September 2020
Wind farm flow control: prospects and challenges journal November 2022
A Large-Eddy Simulations of Wind-Plant Aerodynamics
  • Churchfield, Matthew; Lee, Sang; Moriarty, Patrick
  • 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition https://doi.org/10.2514/6.2012-537
conference November 2012
Near-Wake Turbulent Flow Structure and Mixing Length Downstream of a Fractal Tree journal February 2012
Wake structure in actuator disk models of wind turbines in yaw under uniform inflow conditions journal July 2016
IEA Wind TCP Task 37: Definition of the IEA 15-Megawatt Offshore Reference Wind Turbine report March 2020
Wake to wake interaction of floating wind turbine models in free pitch motion: An eddy viscosity and mixing length approach journal January 2016
Evaluating techniques for redirecting turbine wakes using SOWFA journal October 2014
An improved k - ϵ model applied to a wind turbine wake in atmospheric turbulence : An improved journal April 2014
Brief communication: A clarification of wake recovery mechanisms journal February 2023
Characterizing tilt effects on wind plants journal July 2020
Analytical solution for the cumulative wake of wind turbines in wind farms journal February 2021
Wind turbine wake intermittency dependence on turbulence intensity and pitch motion journal September 2019
A point vortex transportation model for yawed wind turbine wakes journal March 2020
Experimental study of the horizontally averaged flow structure in a model wind-turbine array boundary layer journal January 2010
The turbulence scales of a wind turbine wake: A revisit of extended k-epsilon models journal June 2018
Grand Challenges in the Design, Manufacture, and Operation of Future Wind Turbine Systems journal January 2022
Wind turbine wake simulation with explicit algebraic Reynolds stress modeling journal October 2022
The curled wake model: a three-dimensional and extremely fast steady-state wake solver for wind plant flows journal January 2021
Evaluating tilt for wind plants conference May 2017
The aerodynamics of the curled wake: a simplified model in view of flow control journal January 2019
Discovery of Algebraic Reynolds-Stress Models Using Sparse Symbolic Regression journal December 2019
Experimental and theoretical study of wind turbine wakes in yawed conditions dataset January 2020