Comparison of actuator disc and Joukowsky rotor flows, to explore the need for a tip correction

Wake Conference 2015

Van Kuik, Gijs^1 ; Yu, Wei^1 ; Sarmast, Sasan^2 ; Ivanell, Stefan^2

DUWIND, Faculty of Aerospace Engineering, TU-Delft, Kluyverweg 1, Delft

2629HS, Netherlands^1

Wind Energy Campus Gotland, Dept. of Earth Sciences, Uppsala University, Visby

621 67, Sweden^2

关键词: Actuator disc;    Axial velocity;    Finite number;    Lifting line;    Non-uniform distribution;    Non-uniformities;    Rotor design;    Uniform loads;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/625/1/012013/pdf
DOI  :  10.1088/1742-6596/625/1/012013

来源: IOP

【 摘 要 】

In van Kuik & Lignarolo (2015, Wind Energy accepted with modifications) potential flow solutions have been obtained for classical actuator discs (axisymmetric, uniform load) presenting a model for the non-uniformity of the axial velocity at the disc. Current rotor design models proceed from a disc with a uniform axial velocity, modified by a tip correction like the one of Prandtl-Glauert-Shen. A comparison shows that this correction leads to a similar distribution as obtained from the potential flow solutions. A next comparison is made with the velocity distribution at the blade position of a Joukowsky rotor with constant bound circulation, calculated by an Actuator Line and a Lifting Line model. The resulting distributions correspond reasonably well to the potential flow disc distribution, in magnitude as well as shape. This implies that this non-uniform distribution is relevant for a rotor with a finite number of blades, and could be the basis for rotor design instead of the uniform but tip-corrected distribution.