Wind Energy Science
Wind Energy Science
WES
Articles | Volume 10, issue 2
Articles | Volume 10, issue 2
https://doi.org/10.5194/wes-10-451-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-10-451-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 10, issue 2
Research article
 | 
21 Feb 2025
Research article |  | 21 Feb 2025

Glauert's optimum rotor disk revisited – a calculus of variations solution and exact integrals for thrust and bending moment coefficients

Divya Tyagi and Sven Schmitz

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Short summary
This paper adds to the literature on rotor disk theory by solving a century-old problem with a different mathematical approach. The classical results are recovered, while also adding expressions and asymptotic limits for performance coefficients that were not included in the original theory. This work adds to classical rotor disk theory as a valuable contribution to research and teaching in wind turbine aerodynamics.
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