GENERAL HARMONIC SOLUTIONS FOR THE DUCTED PROPELLER

Abstract
General harmonic solutions have been found for the camber problem of a ducted propeller with finite blade number in uniform motion at zero incidence. The fluid is assumed inviscid and incompressible. Principal attention is focused on the zeroth harmonic based on a successive iteration of the two-dimensional or sectional Glauert coefficients. In matrix form, the speed of convergence and identification of the limit are studied. Appropriate tables for typical shrouds are provided together with an illustrative example. Both the iteration procedure and direct simultaneous inversion yield solutions for the higher harmonics.

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