A design method for high efficiency propeller with arbitrarily given circulation distribution and operating condition was presented to calculate the geometric characteristics of the propeller

including the chord length and twist angle. For comparison of the best circulation considering or disregarding the drag of the blade element

the expressions of the two best circulations were derived respectively

and the parameters influences on the best circulation distribution were analyzed. Then the propeller design method was derived inversely from the blade element momentum theory. The study on the parameter influences for efficiency shows that the ideal efficiency is closely related to dynamic pressure and disk loading. At last

several propellers were designed with different circulations and their performances were compared. The study indicates that the design method can be used to design high efficiency propeller with arbitrary circulation

at a relative error less than 7%

and the difference of design performance from the design result in the reference literature is less than 2%.