Hostname: page-component-848d4c4894-p2v8j Total loading time: 0.001 Render date: 2024-05-31T13:50:13.426Z Has data issue: false hasContentIssue false

A physics-based model for wind turbine wake expansion in the atmospheric boundary layer – CORRIGENDUM

Published online by Cambridge University Press:  03 May 2024

Abstract

Type
Corrigendum
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2024. Published by Cambridge University Press

We have noticed a typographical mistake in (2.6). The correct expression for the scalar diffusion from a disk source, as given by Crank (Reference Crank1979), is as follows:

(1)\begin{equation} C(r,t) = \frac{C_0}{2D_c t}\exp\left(\frac{-r^2}{4D_c t}\right)\int_{0}^{R}\exp\left(\frac{-{r}'^{2}}{4D_c t}\right)\mathrm{I}_0\left(\frac{r{r}'}{2D_c t}\right) {r}'\,{\rm d}{r}' . \end{equation}

The correct expression was used in the study. Therefore, the results, discussion and figures regarding the analogy between wind turbine wake expansion and scalar diffusion from a disk source remain valid.

References

Crank, J. 1979 The Mathematics of Diffusion. Oxford University Press.Google Scholar
Vahidi, D. & Porté-Agel, F. 2022 A physics-based model for wind turbine wake expansion in the atmospheric boundary layer. J. Fluid Mech. 943, A49.CrossRefGoogle Scholar