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Weighted Solidity of the Optimum Rotor
With the optimum taper distribution, the profile power coefficient can be established. However, to do this properly we must compare the results at the same weighted solidity. In terms of thrust weighted solidity, cre, the optimum planform leads to
oe = 3 J or1 dr — 3 J ^-^-^r2 dr =-atip. (3.154)
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The profile power coefficient at the same weighted solidity is now
which is about 11% lower than for a rotor with rectangular blades. The figure of merit for the optimum rotor becomes
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3/2
which is a good 2-5% higher than for a rectangular rotor with ideal twist, and this difference can translate into substantial payload gains (see Question 6.8).
