Articles | Volume 5, issue 3
Research article
07 Jul 2020
Research article |  | 07 Jul 2020

On the velocity at wind turbine and propeller actuator discs

Gijs A. M. van Kuik

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Cited articles

Betz, A.: Schraubenpropeller mit geringstem Energieverlust, in: Vier Abhandlungen zur Hydrodynamik und Aerodynamik, Reprint of 4 famous papers by Universitätsverlag Göttingen, Göttingen, 1919. a
Betz, A.: Das Maximum der theoretisch möglichen Ausnützung des Windes durch Windmotoren, Z. gesamt. Turbinenwes., 26, 307–309, 1920. a
Bontempo, R. and Manna, M.: A nonlinear and semi-analytical actuator disk method accounting for general hub shapes. Part 1. Open rotor, J. Fluid Mech., 792, 910–935,, 2016. a
Bontempo, R. and Manna, M.: A ring-vortex free-wake model for uniformly loaded propellers. Part II – Solution procedure and analysis of the results, Enrgy. Proced., 148, 368–375,, 2018a. a
Bontempo, R. and Manna, M.: A ring-vortex free-wake model for uniformly loaded propellers. Part I-Model description., Enrgy. Proced., 148, 360–367,, 2018b. a
Short summary
The paper compares actuator discs in propeller and wind turbine mode. At very low rotational speed, propeller discs have an expanding wake while still energy is put into the wake. The velocity at the disc in the plane containing the axis is practically uniform: a few per mille deviation for wind turbine discs and a few per cent for propeller discs. The deviations are caused by the different strengths of the singularity in the wake boundary vorticity strength at its leading edge.
Final-revised paper