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Conceptual Errors in Actuator Disc Theory and Betz's Law for Wind Turbines
2022
Energies
This paper started with the explanation of the conditions for using the momentum equation and with the presentation of the actuator disc theory. Focusing on the flow model used in actuator disk theory, both the Froude-Rankine theorem and Betz's law have been examined. It has been found that the Froude-Rankine theorem is not justified because a stream-tube that is used as the control volume does not really exist (pseudo stream-tube). The theorem is also not justified because an unfounded
doi:10.3390/en15165902
fatcat:57rveooagfhb7b6ualxxspzzbu