Three methods are provided for calculating wind-tunnel (or finite computational fluid dynamics domain) induced wall blockage corrections for shrouded wind turbines and subsonic propellers. To this end, it is first shown that all open-rotor and shrouded wind turbines and propellers can be represented analytically as members of a single general family. Thereafter, power harvesting and thrusting predictions for both wind turbines and propellers, respectively, are reduced to solutions of pairs of polynomial equations, for which exact numerical solutions are provided. Additionally, easily applied, semiempirical, and closed-form perturbation solutions are provided. For wind turbines, it is shown that even small blockage levels can induce appreciable correction factors, whereas for propellers, blockage corrections were found to be negligibly small for all practical blockage levels.
Read full abstract