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The potential of the linearized flow for a lifting-line propeller of arbitrary circulation distribution at subsonic advance is derived in cylindrical harmonics. From the potential the induced angle...
The potential of the linearized flow for a lifting-line propeller of arbitrary circulation distribution at subsonic advance is derived in cylindrical harmonics. From the potential the induced angle at the lifting line is obtained. The series expression for the induced angle is divergent as is to be expected for lifting lines in supersonic flow, but this divergence is removed when the supersonic lifting-line induction is removed. A phenomenon resembling resonance in vibrating systems introduces itself in that one term in the series becomes very large compared to the others. The main consequence of this phenomenon is that the lift distribution cannot be arbitrarily prescribed; on the other hand, the inverse problem, in which the propeller geometry is given, is acceptable.