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Boundary-layer evolution over long wind farms
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Industrial Engineering and Management (ITM), Centres, Competence Center for Gas Exchange (CCGEx). KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics.ORCID iD: 0000-0001-8667-0520
Univ Pisa, Dipartimento Ingn Aerosp, I-56122 Pisa, Italy..
2021 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 925, article id A2Article in journal (Refereed) Published
Abstract [en]

The structure of the internal boundary layer above long wind farms is investigated experimentally. The transfer of kinetic energy from the region above the farm is dominated by the turbulent flux of momentum together with the displacement of kinetic energy operated by the mean vertical velocity: these two have comparable magnitude along the farm opposite to the infinite-farm case. The integration of the energy equation in the vertical highlighted the key role of the energy flux, and how that is balanced by the growth of the internal boundary layer in terms of energy thickness with a small role of the dissipation. The mean velocity profiles seem to follow a universal structure in terms of velocity deficit, while the Reynolds stress does not follow the same scaling structure. Finally, a spectral analysis along the farm identified the leading dynamics determining the turbulent activity: while behind the first row the signature of the tip vortices is dominant, already after the second row their coherency is lost and a single broadband peak, associated with wake meandering, is present until the end of the farm. The streamwise velocity peak is associated with a nearly constant Strouhal number weakly dependent on the farm layout and free stream turbulence condition. A reasonable agreement of the velocity spectra is observed when the latter are normalised by the velocity variance and integral time scale: nevertheless the spectra show clear anisotropy at the large scales and even the small scales remain anisotropic in the inertial subrange.

Place, publisher, year, edition, pages
CAMBRIDGE UNIV PRESS , 2021. Vol. 925, article id A2
Keywords [en]
boundary layer structure, turbulent boundary layers
National Category
Meteorology and Atmospheric Sciences
Identifiers
URN: urn:nbn:se:kth:diva-300832DOI: 10.1017/jfm.2021.629ISI: 000687725000001Scopus ID: 2-s2.0-85113595597OAI: oai:DiVA.org:kth-300832DiVA, id: diva2:1598676
Note

QC 20210929

Available from: 2021-09-29 Created: 2021-09-29 Last updated: 2025-02-07Bibliographically approved

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Segalini, Antonio

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Linné Flow Center, FLOWCompetence Center for Gas Exchange (CCGEx)Fluid Mechanics and Engineering Acoustics
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