Wind Energy Science
Wind Energy Science
WES
Articles | Volume 3, issue 1
Articles | Volume 3, issue 1
https://doi.org/10.5194/wes-3-345-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-3-345-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 3, issue 1
Research article
 | 
07 Jun 2018
Research article |  | 07 Jun 2018

The second curvature correction for the straight segment approximation of periodic vortex wakes

David H. Wood

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Short summary
The vortices in the wakes of wind turbines are often approximated by short, straight vortex segments, which cannot reproduce the curvature singularity in the induced velocity. They can also have a second error due to the periodicity: the vortices return to close proximity of the point at which the velocity is calculated. The second error is assessed by representing the far wake of a turbine as a row of vortex rings. The error is quantified and a simple correction is developed.
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