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Hi Max,
The Cd of a F1 racer is on the order of 1.0. Yea, that high. And this is because of the wing.
Your goal is minimum Cd. Any kinda of duct or wing will make Cd worse. Air forced through a duct takes more energy than the air simply flowing over the car.
The only way this can be advangeous, is as a control mechanism. Which is what the f-duct is, as I read your link. The very small amount if air is used to switch the wing from lift to no-lift. They apparently have designed the wing to be close to stall. Loosing the extra flow from the F-duct results in a stall of the wing.
But, if you do not have a wing to start with, you do not have the drag due to the lift generating air flows. So, there is nothing to switch....
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