Articles | Volume 9, issue 12
https://doi.org/10.5194/wes-9-2333-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-9-2333-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Aerodynamic interaction of rain and wind turbine blades: the significance of droplet slowdown and deformation for leading-edge erosion
Nils Barfknecht
CORRESPONDING AUTHOR
Wind Energy Group, Faculty of Aerospace Engineering, Delft University of Technology, Delft, the Netherlands
Dominic von Terzi
Wind Energy Group, Faculty of Aerospace Engineering, Delft University of Technology, Delft, the Netherlands
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Cited articles
Badger, M., Zuo, H., Hannesdóttir, A., Owda, A., and Hasager, C.: Lifetime prediction of turbine blades using global precipitation products from satellites, Wind Energ. Sci., 7, 2497–2512, https://doi.org/10.5194/wes-7-2497-2022, 2022. a
Barfknecht, N., Kreuseler, M., de Tavernier, D., and von Terzi, D.: Performance analysis of wind turbines with leading-edge erosion and erosion-safe mode operation, J. Phys.: Conf. Ser., 2265, 032009, https://doi.org/10.1088/1742-6596/2265/3/032009, 2022. a, b, c
Bech, J. I., Hasager, C. B., and Bak, C.: Extending the life of wind turbine blade leading edges by reducing the tip speed during extreme precipitation events, Wind Energ. Sci., 3, 729–748, https://doi.org/10.5194/wes-3-729-2018, 2018. a, b
Best, A. C.: The size distribution of raindrops, Q. J. Roy. Meteorol. Soc., 76, 16–36, 1950a. a
Best, A. C.: Empirical formulae for the terminal velocity of water drops falling through the atmosphere, Q. J. Roy. Meteorol. Soc., 76, 302–311, https://doi.org/10.1002/qj.49707632905, 1950b. a
Brandes, E. A., Zhang, G., and Vivekanandan, J.: Experiments in Rainfall Estimation with a Polarimetric Radar in a Subtropical Environment, J. Appl. Meteorol., 41, 674 – 685, https://doi.org/10.1175/1520-0450(2002)041<0674:EIREWA>2.0.CO;2, 2002. a
Fæster, S., Johansen, N. F.-J., Mishnaevsky Jr, L., Kusano, Y., Bech, J. I., and Madsen, M. B.: Rain erosion of wind turbine blades and the effect of air bubbles in the coatings, Wind Energy, 24, 1071–1082, https://doi.org/10.1002/we.2617, 2021. a
Feo, A., Vargas, M., and Sor, A.: Rotating Rig Development for Droplet Deformation/Breakup and Impact Induced by Aerodynamic Surfaces, Technical Report NASA/TM–2012-217721, National Aeronautics and Space Administration, https://ntrs.nasa.gov/citations/20120015400 (last access: 7 May 2020), 2012. a, b
Gaertner, E., Rinker, J., Sethuraman, L., Zahle, F., Anderson, B., Barter, G. E., Abbas, N. J., Meng, F., Bortolotti, P., Skrzypinski, W., Scott, G. N., Feil, R., Bredmose, H., Dykes, K., Shields, M., Allen, C., and Viselli, A.: Definition of the IEA 15-Megawatt Offshore Reference Wind Turbine, Tech. rep., NREL – National Renewable Energy Lab., Golden, CO, USA, https://doi.org/10.2172/1603478, 2020. a
García-Magariño, A., Sor, S., and Velazquez, A.: Droplet Ratio Deformation Model in Combination with Droplet Breakup Onset Modeling, J. Aircraft, 58, 310–319, https://doi.org/10.2514/1.C035942, 2021. a
Hoksbergen, N., Akkerman, R., and Baran, I.: The Springer model for lifetime prediction of wind turbine blade leading edge protection systems: A review and sensitivity study, Materials, 15, 1170, https://doi.org/10.3390/ma15031170, 2022. a, b, c, d
Hoksbergen, T., Akkerman, R., and Baran, I.: Liquid droplet impact pressure on(elastic) solids for prediction of rain erosion loads on wind turbine blades, J. Wind Eng. Indust. Aerodynam., 233, 105319, https://doi.org/10.1016/j.jweia.2023.105319, 2023. a
Hsiang, L.-P. and Faeth, G.: Drop deformation and breakup due to shock wave and steady disturbances, Int. J. Multiphase Flow, 21, 545–560, https://doi.org/10.1016/0301-9322(94)00095-2, 1995. a, b, c, d
Jackiw, I. M. and Ashgriz, N.: On aerodynamic droplet breakup, J. Fluid Mech., 913, A33, https://doi.org/10.1017/jfm.2021.7, 2021. a, b, c, d
Jackiw, I. M. and Ashgriz, N.: Prediction of the droplet size distribution in aerodynamic droplet breakup, J. Fluid Mech., 940, A17, https://doi.org/10.1017/jfm.2022.249, 2022. a, b
Jones, B., Saylor, J., and Testik, F.: Raindrop morphodynamics, Rainfall, 191, 7–28, 2010. a
Jonkman, J., Butterfield, S., Musial, W., and Scott, G.: Definition of a 5-MW reference wind turbine for offshore system development, Tech. rep., NREL – National Renewable Energy Lab., Golden, CO, USA, https://doi.org/10.2172/947422, 2009. a
Keegan, M. H., Nash, D., and Stack, M.: Modelling rain drop impact on offshore wind turbine blades, in: ASME Turbo Expo 2012, 11–15 June 2012, Copenhagen, Denmark, https://doi.org/10.1115/GT2012-69175, 2012. a
KNMI – Koninklijk Nederlands Meteorologisch Instituut: Uurgegevens van het weer in Nederland – 235 – De Kooy, https://cdn.knmi.nl/knmi/map/page/klimatologie/gegevens/uurgegevens/uurgeg_235_2021-2030.zip (last access: 1 February 2022), 2020. a
Lopez-Gavilan, P., Velazquez, A., García-Magariño, A., and Sor, S.: Breakup criterion for droplets exposed to the unsteady flow generated by an incoming aerodynamic surface, Aerospace Sci. Technol., 98, 105687, https://doi.org/10.1016/j.ast.2020.105687, 2020. a
Nicholson, J. E.: Drop breakup by airstream impact, Tech. rep., Mithras Inc., Cambridge, Massachusetts, https://apps.dtic.mil/sti/tr/pdf/AD0666525.pdf (last access: 16 February 2023), 1968. a
Prieto, R. and Karlsson, T.: A model to estimate the effect of variables causing erosion in wind turbine blades, Wind Energy, 24, 1031–1044, 2021. a
Schmehl, R.: Tropfendeformation und Nachzerfall bei der technischen Gemischaufbereitung, PhD thesis, Karlsruhe Institute of Technology, https://doi.org/10.5445/IR/1000018104, 2004. a, b, c
Sichani, A. B. and Emami, M. D.: A droplet deformation and breakup model based on virtual work principle, Phys. Fluids, 27, 032103, https://doi.org/10.1063/1.4913809, 2015. a
Sommerfeld, M., van Wachem, B., and Oliemans, R.: Best Practice Guidelines for Computational Fluid Dynamics of Dispersed Multiphase Flows, Tech. rep., ERCOFTAC – European Research Community On Flow, Turbulence And Combustion and SIAMUF, Swedish Industrial Association for Multiphase Flows, ISBN 978-91-633-3564-8, 2008. a
Sor, S.: Theoretical model for droplet deformation and trajectory in continuously accelerating flows, PhD thesis, Technical University of Madrid, Madrid, https://doi.org/10.20868/UPM.thesis.45721, 2017. a, b, c
Sor, S. and García-Magariño, A.: Correction: Modeling of Droplet Deformation Near the Leading Edge of an Airfoil, J. Aircraft, 58, 1, https://doi.org/10.2514/1.C033086.c1, 2021. a
Sor, S., García-Magariño, A., and Velazquez, A.: Droplet in the Shoulder Region of an Incoming Airfoil. Part II: Droplet Breakup, in: AIAA Aviation 2019 Forum, 17–21 June 2019, Dallas, Texas, p. 3307, https://doi.org/10.2514/6.2019-3307, 2019. a, b, c
Springer, G. S. and Baxi, C. B.: A model for rain erosion of homogeneous materials, Tech. Rep. AFML-TR-72-106, Air Force Materials Laboratory, https://deepblue.lib.umich.edu/handle/2027.42/7754 (last access: 20 November 2023), 1972. a
Verma, A. S., Castro, S. G., Jiang, Z., and Teuwen, J. J.: Numerical investigation of rain droplet impact on offshore wind turbine blades under different rainfall conditions: A parametric study, Compos. Struct., 241, 112096, https://doi.org/10.1016/j.compstruct.2020.112096, 2020. a, b, c
Visbech, J., Göçmen, T., Hasager, C. B., Shkalov, H., Handberg, M., and Nielsen, K. P.: Introducing a data-driven approach to predict site-specific leading-edge erosion from mesoscale weather simulations, Wind Energ. Sci., 8, 173–191, https://doi.org/10.5194/wes-8-173-2023, 2023. a
Short summary
Rain droplets damage wind turbine blades due to the high impact speed at the tip. In this study, it is found that rain droplets and wind turbine blades interact aerodynamically. The rain droplets slow down and deform close to the blade. A model from another field of study was adapted and validated to study this process in detail. This effect reduced the predicted erosion damage by up to 50 %, primarily affecting smaller drops. It is shown how the slowdown effect can influence erosion mitigation.
Rain droplets damage wind turbine blades due to the high impact speed at the tip. In this study,...
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