On the role of induced power in turbine wake scaling: Bridging 100-m to 0.1-m rotors

A wake scaling methodology is proposed in which turbine power is separated into its induced and profile power components. It is shown that preserving induced power as a function of thrust coefficient in conjunction with the radial circulation distribution are sufficient conditions for wake scaling. This work demonstrates the primary role of induced power in scaling turbine wakes over three orders of magnitude from full-scale down to model-scale rotors. The extended theory is verified using blade-element momentum theory (BEMT) and large-eddy simulation (LES), and an example set of model-scale turbine wake experiments is proposed for known wind tunnel facilities around the world.