I'm doing research regarding the possiblity of using Flettner rotors on helicopters.

I would like to derive the total lift equation for a helicopter that consist of 3 Flettner rotors.

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Given that:

  1. The general lift equation is

$$ F = \frac{1}{2} \rho V^2 S_{ref} C_L $$

where F is the lift force.

  1. The Kutta-Joukowski Lift equation is

$$ \frac{F}{L} = \rho V G $$

where F is the lift force and L is the length of the tube.

Is the total lift equation equal to?

$$ F = \frac{1}{2} \rho V^2 S_{ref} C_L + 3\left(L \rho V G\right) $$


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