A numerical approach to determine the optimum circulation distribution of a propeller inside a given duct 18 presented. The propeller blades are modelled by lifting lines. The duct is represented in non-linear theory by using a potential based panel method.
The propeller lifting lines are approximated by a finite number of vortex horseshoes. The strengths of the horseshoes are determined by using a numerical nonlinear optimization technique to maximize the propulsor efficiency. The non axisymmetric duct/propeller interactions are included within the design procedure.
Results are presented for propellers designed to operate at various thrust coefficients inside of two different ducts and at several advance ratios.
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Copyright 1988, The Society of Naval Architects and Marine Engineers