Articles | Volume 6, issue 1
Wind Energ. Sci., 6, 191–201, 2021
Wind Energ. Sci., 6, 191–201, 2021
Research article
02 Feb 2021
Research article | 02 Feb 2021

An impulse-based derivation of the Kutta–Joukowsky equation for wind turbine thrust

Eric J. Limacher and David H. Wood

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Cited articles

Batchelor, G. K.: An Introduction to Fluid Dynamics, C. U. P., Cambridge, 1967. a, b
Betz, A.: Schraubenpropeller mit geringstem Energieverlust, Dissertation, Göttingen Nachrichten, Göttingen, 1919. 
Branlard, E. and Meyer Forsting, A. R.: Assessing the blockage effect of wind turbines and wind farms using an analytical vortex model, Wind Energy, 23, 1–19, 2020. a
Burgers, J.: On the resistance of fluids and vortex motion, Koninklijke Nederlandsche Akademie van Wetenschappen, Proc. B Phys. Sci., 23, 774–782, 1921. a
Burton, T., Jenkins, N., Sharpe, D., and Bossanyi, E.: Wind Energy Handbook. John Wiley & Sons, Chichester, 2011. a
Short summary
This paper describes a new analysis of wind turbine thrust based on removing pressure from the equations for the wind flow through a wind turbine rotor. We show that the equation is free from the effects of flow expansion that must accompany the slowing down of the wind through the blades as they extract the kinetic energy. The conditions under which the assumptions are used in blade-element analysis, which is fundamental for wind turbine aerodynamics, are made clear for the first time.