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arXiv · 1702.00166

An analytical model for a full wind turbine wake

Aidan Keane·Pablo E. Olmos Aguirre·Hannah Ferchland·Peter Clive·Daniel Gallacher
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Abstract

An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof, and is a direct generalization of that recently proposed by Bastankhah and Porte-Agel. The model is derived by applying conservation of mass and momentum in the context of actuator disk theory, and assuming a distribution of the double-Gaussian type for the velocity deficit in the wake. The physical solutions are obtained by appropriate mixing of the waked- and freestream velocity deficit solutions, reflecting the fact that only a portion of the fluid particles passing through the rotor disk will interact with a blade.

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Aidan Keane, Pablo E. Olmos Aguirre, Hannah Ferchland, Peter Clive, Daniel Gallacher. 2017-02-01. An analytical model for a full wind turbine wake. https://doi.org/10.1088/1742-6596/753/3/032039

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