Abstract
The reduction of horizontal wind speed at hub height in an infinite cluster of wind turbines is computed from a balance between a loss of horizontal momentum due to the drag and replenishment from above by turbulent fluxes. This reduction is derived without assumptions concerning the vertical wind profile above or below hub height, only some basic assumptions on turbulent exchange have been made. Two applications of the result are presented, one considering wind turbines and one pressure drag on orographic obstacles in the atmospheric boundary layer. Both applications are basically governed by the same kind of momentum balance.
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References
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Emeis, S., Frandsen, S. Reduction of horizontal wind speed in a boundary layer with obstacles. Boundary-Layer Meteorol 64, 297–305 (1993). https://doi.org/10.1007/BF00708968
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DOI: https://doi.org/10.1007/BF00708968