How does the presence of a body affect the performance of an actuator disk?
G.L. De Oliveira Andrade (TU Delft - Wind Energy)
R. Pereira (TU Delft - Wind Energy)
Daniele Ragni (TU Delft - Wind Energy)
Francesco Avallone (TU Delft - Wind Energy)
GJW Van Bussel (TU Delft - Wind Energy)
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Abstract
The article seeks to unify the treatment of conservative force interactions between axi-symmetric bodies and actuators in inviscid ow. Applications include the study of hub interference, di_user augmented wind turbines and boundary layer ingestion propeller con_gurations. The conservation equations are integrated over in_nitesimal streamtubes to obtain an exact momentum model contemplating the interaction between an actuator and a nearby body. No assumptions on the shape or topology of the body are made besides (axi)symmetry. Laws are derived for the thrust coe_cient, power coe_cient and propulsive e_ciency. The proposed methodology is articulated with previous e_orts and validated against the numerical predictions of a planar vorticity equation solver. Very good agreement is obtained between the analytical and numerical methods
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