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Human Power and Propulsion

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A propeller is just a driven wing. The diagram illustrates the helical path of the propeller tip through the air as the vehicle moves with a constant velocity. The efficiency of the propeller depends upon the ratio of lift to drag for the device as the drag dissipates energy that does not then contribute to the propeller thrust.

The thrust depends on the pressure differential across the propeller. This gives rise to a force,
F = (pout - pin)A, where A is the area swept by the blades. The interaction of the propeller with the fluid increases its kinetic energy and this determines the power required to drive the propeller.

In the steady state cruise condition the propeller will rotate at a constant angular velocity which implies that the speed of the blade through the air increases linearly with its radial distance from the hub. Propellers frequently have a twist along their length to change the local angle of attack and, hence, the local lift (thrust) of the blade.

From: Wegener,
"What Makes Airplanes Fly?"
Springer-Verlag (1991)