This paper is concerned with the case of a propeller working inside a symmetrical duct of finite length, zero thickness, zero camber and zero tip clearance. The propeller is modeled by the well-known Lerbs lifting-line theory while its radial circulation distribution is represented by a double Fourier series which allows for a nonzero circulation to occur at the blade tip. At the same time the duct circulation is considered to vary axially and circumferentially, which results in a system of longitudinal vortex filaments shed from each point on the duct surface. A comparison is made between the present method and the more sophisticated Tachmindji potential theory and the agreement is very good. Comparison is also made between the ducted and free-running (open) propeller.
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December 01 1979
A Model of an Axisymmetrical Ducted Propeller with Zero Tip Clearance
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George, Monir F.. "A Model of an Axisymmetrical Ducted Propeller with Zero Tip Clearance." J Ship Res 23 (1979): 253–259. doi: https://doi.org/10.5957/jsr.19126.96.36.199
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