Propeller Theory with Several Supporting Vortex Lines,

Calculation of the relation between the chord length coordinates and the velocity at propeller blades required for the determination of the forces and cavitation phenomena prevailing at the wings of a propeller on the basis of the carrier wing theory presents complex computational problems. Simplification may be achieved by substituting several supporting vortex lines for the propeller blade, which also makes it possible to calculate the chord-length change of the velocity on the propeller blade. This method is applicable both to self-rotating propellers and propellers in the wake flow. With the aid of the turbulence theory, it is possible to derive the Eulerian functions and the continuity equation. These, in turn, permit the calculation of the velocity, considering the boundary criteria, spilling flow conditions, and the limit condition. Author