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 -