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Digby Symons - Blade

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1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

a, a' 0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 2 4 6 8 10<br />

Local speed ratio x = ωr<br />

/V0<br />

Fig. 20: Optimal induction factors<br />

4.3 Dependency of Power on Tip Speed Ratio<br />

Substitution of (19) and (20) into (17) provides the dependency of the<br />

power coefficient C p on the tip speed ratio λ (Fig. 21).<br />

27<br />

C<br />

16<br />

p<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 2 4 6 8<br />

Tip speed ratio<br />

λ =<br />

ωR<br />

V<br />

Fig. 21: Turbine efficiency<br />

0<br />

a<br />

a'<br />

10<br />

20

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