Actuator disc (AD) models of wind turbine rotors are extremely important as they provide basic information about the wind flow through the rotor and optimal turbine performance.  Nevertheless, AD analysis can use widely varying methodologies.  For example, Wood & Hammam (2021, extra reference below), cited as WH, used conservation of axial and angular momentum and the calculus of variations to derive the optimal performance of horizontal-axis wind turbines over a wide range of tip speed ratio.  In contrast to the present analysis, WH make no a priori assumptions about the disc loading and find that the constant loading and axial induced velocity assumed here, are approached only at high tip speed ratio for optimal rotors.  This limitation of the present analysis should be noted in the text.

On the other hand, WM’s analysis is not easily extended to yawed and coned rotors whose performance dominates the present analysis and conclusions and provides the major novelty in the manuscript.  Valuable information is provided for these conditions as well as ideas for extending the analysis.

As minor comments:

1. Equations (13, 14) are not the divergence of (11,12): they are the components of the divergence.
2. The power, thrust and torque coefficients are commonly written is subscripted form. Equation (48) would be more readable if it contained C_Q and not CQ.

Extra Reference

Wood, D. H., & Hammam, M. M. (2022). Optimal performance of actuator disc models for horizontal-axis turbines. Frontiers in Energy Research, 10, 971177.

The author has proposed a new analytical model of the interaction of an horizontal-axis rotor with the incoming flow. The new approach has been tested in different configurations encountered by these machines in operation, such as tandem layout, yawed flow, and coned rotor, showing a promising correspondence with more advanced flow models. The reviewer believes that the topic and the activity are very interesting, innovative and worthy of investigation. The methodology is adequate and consistent throughout the whole activity. Only one minor revision is required:

1. the structure of the abstract is atypical. I would have expected a shorter paragraph with a better balance between the background of the work, which is very well explained in the introduction but absent in the abstract, and results, which have too much space.