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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
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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