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The Betz limit is the limit, 59% of the energy
that we can capture from the wind.
Now, if you allow the
actuator disk to become a rotor disk that's spinning
at some rotor speed omega,
the side of effect of doing that is
that you add a swirl to the downstream wind.
Adding a swirl means
you have to pay for it. You have to pay for it with
momentum and energy. In other words,
that side of effect of the method that makes you
adding that swirl, is that you cannot capture
as much energy as in the actuator disk model.
So we will get something that is less than the Betz limit
for sure. The question is how much is that.