Wind Energy Science
Wind Energy Science
WES
Articles | Volume 8, issue 4
Articles | Volume 8, issue 4
https://doi.org/10.5194/wes-8-503-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-8-503-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 8, issue 4
Research article
 | 
06 Apr 2023
Research article |  | 06 Apr 2023

A simple vortex model applied to an idealized rotor in sheared inflow

Mac Gaunaa, Niels Troldborg, and Emmanuel Branlard

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Latest update: 03 Nov 2025
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Short summary
We present an analytical vortex model. Despite its simplicity, the model is fully consistent with 1D momentum theory. It shows that the flow through a non-uniformly loaded rotor operating in non-uniform inflow behaves locally as predicted by 1D momentum theory. As a consequence, the local power coefficient (based on local inflow) of an ideal rotor is unaltered by the presence of shear. Finally, the model shows that there is no cross-shear deflection of the wake of a rotor in sheared inflow.
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