This paper presents a thorough analysis of the optimal ideal propulsor (OJP) theory. A significantly improved solution is obtained for the classical problem formulated by W.J.M Rankine. For instance, the uniform distribution of the axial induced velocity in the far propulsor wake is shown to be sufficient for obtaining the desirable minimum of energy losses at a given thrust value if the additional condition is imposed on the distribution of the axial induced velocity at infinity. Following Rankine, the steady flow of ideal incompressible fluid is considered without free and solid boundaries. As a result, the upper boundary of efficiency is estimated for the isolated propulsor with a non-expansible wake. The obtained estimation is used for a number of practical examples, where the more complicated mathematical models are employed.

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