Articles | Volume 10, issue 2
https://doi.org/10.5194/wes-10-451-2025
https://doi.org/10.5194/wes-10-451-2025
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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Cited articles

Betz, A.: Schraubenpropeller mit geringstem Energieverlust, Göttinger Nachrichten, 1919. a
Breslin, J. P. and Andersen, P.: Hydrodynamics of Ship Propellers, Cambridge University Press, ISBN 0-521-41360-5, 1994. a
Burton, T., Sharpe, D., Jenkins, N., and Bossanyi, E.: Wind Energy Handbook, John Wiley & Sons, Chichester, https://doi.org/10.1002/9781119992714, 2011. a, b, c
de Vries, O.: Fluid Dynamic Aspects of Wind Energy Conversion, Advisory Group for Aerospace Research and Development, AGARD-AG-243, Amsterdam, ISBN 92-835-1326-6, 1979. a, b
Glauert, H.: Airplane Propellers, in: Aerodynamic Theory, edited by Durand, W., Springer, Berlin, Heidelberg, Farnborough, England, 169–360, https://doi.org/10.1007/978-3-642-91487-4_3, 1935. a, b, c, d
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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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