Superposition of vortex cylinders for steady and unsteady simulation of rotors of finite tip-speed ratio

@article{Branlard2016SuperpositionOV,
title={Superposition of vortex cylinders for steady and unsteady simulation of rotors of finite tip-speed ratio},
author={Emmanuel S. P. Branlard and M. Gaunaa},
journal={Wind Energy},
year={2016},
volume={19},
pages={1307-1323}
}

Joukowski introduced in 1912 a helical vortex model to represent the vorticity of a rotor and its wake. For an infinite number of blades but finite tip-speed ratio, the model consists of a vortex cylinder of longitudinal and tangential vorticity, a root vortex and a bound vortex disk. A superposition of cylinders is used in this paper to model rotors of radially varying circulation. The relations required to form a consistent system of cylinders are derived. The model contains a term which is… CONTINUE READING