TY - CHAP
T1 - The Finite-Bladed Betz Rotor
AU - Sørensen, Jens Nørkær
PY - 2016
Y1 - 2016
N2 - The finite-bladed optimum Betz rotor is treated. It is first very recently that a complete description of this rotor has been derived. In the chapter, a full analytical solution to the Betz rotor problem will be given, and the results will be compared to other optimum rotor models, both with respect to performance and resulting rotor geometry. It is here shown that for tip speed ratios greater than three, all models result in the same geometry at the outer part of the rotor, whereas the inner part always is different, both with respect to plan form and with respect to twist distribution.
AB - The finite-bladed optimum Betz rotor is treated. It is first very recently that a complete description of this rotor has been derived. In the chapter, a full analytical solution to the Betz rotor problem will be given, and the results will be compared to other optimum rotor models, both with respect to performance and resulting rotor geometry. It is here shown that for tip speed ratios greater than three, all models result in the same geometry at the outer part of the rotor, whereas the inner part always is different, both with respect to plan form and with respect to twist distribution.
U2 - 10.1007/978-3-319-22114-4_9
DO - 10.1007/978-3-319-22114-4_9
M3 - Book chapter
SN - 978-3-319-22113-7
VL - 4
T3 - Research Topics in Wind Energy
SP - 151
EP - 180
BT - General Momentum Theory for Horizontal Axis Wind Turbines
PB - Springer
ER -