Interactive comment on “An analytical solution for wind deficit decay behind a wind energy converter using momentum flux conservation validated by UAS data” by Moritz Mauz et al

In the manuscript, the derivation and validation of a model for the velocity deficit in the wake of a wind turbine is presented. The model derivation starts from the Reynolds decomposition of the differential momentum equilibrium in a fluid and models a momentum flux from the wind at greater heights, which finally compensates the wake velocity deficit at a certain stream-wise distance to the wind turbine. A differential equation is obtained from the derivation and is solved analytically as well as numerically, where the analytical solution could only be obtained by introducing a simplification. Measurements of the mean wind speed in the wake using an UAV were undertaken to provide