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Flow Regime condition sub-critico Subsonic Critical critico Hypercritical<br />
ipercritico<br />
causa del<br />
cause of aerodynamic<br />
turbolence turbolenza + supersonic onde d'urto<br />
rumore<br />
turbolenza a valle della<br />
turbolence downstream of v.c.<br />
supersonic onde d'urto impact supersoniche<br />
waves<br />
noise<br />
v.c.<br />
impact supersoniche waves<br />
aerodinamico<br />
p c<br />
pvcc<br />
1 2<br />
p<br />
< ⋅<br />
22<br />
p<br />
⋅ c<br />
pvcc<br />
≤ p2 < pvcc p<br />
1 2<br />
2<br />
p<br />
22<br />
p2 p2 ≥ p2c pvcc ≤ p2 < p2c 1- 2<br />
/ / /<br />
p p<br />
FL<br />
2<br />
-<br />
1<br />
p<br />
pvc<br />
1<br />
γ<br />
γ −<br />
⎞<br />
⎠ ⎟<br />
p 2<br />
1 γ + 1<br />
⎛<br />
⎝ ⎜<br />
/<br />
pvcc<br />
2 p1−F 2<br />
L ⋅( p1−pvcc )<br />
p c<br />
/ / /<br />
2p ⋅ M p<br />
1⋅<br />
⎛ 1<br />
( −1) ⋅ 1⋅R⋅T p<br />
1 ⎝ vc<br />
⎜<br />
⎞<br />
⎠ ⎟<br />
⎡ γ −1<br />
⎤<br />
⎢ γ ⎥<br />
γ ρ<br />
⎢<br />
−1⎥<br />
⎢<br />
⎥<br />
⎣⎢<br />
⎦⎥<br />
Mvc<br />
/<br />
γ 1<br />
M j / 2 ⎛ p1⋅p2c γ<br />
1<br />
γ −1⎝p2<br />
⋅pvcc<br />
⎜<br />
⎞<br />
⎠ ⎟<br />
⎡<br />
− ⎤<br />
⎢<br />
⎥<br />
⎢<br />
− ⎥<br />
⎢<br />
⎥<br />
⎣⎢<br />
⎦⎥<br />
4 L 2<br />
6,6 F<br />
− 3,4⋅10 ⋅1,4<br />
L 2<br />
6,6 F<br />
1,4<br />
10−4 ⋅ Mvc<br />
3,6<br />
4<br />
10 Mj L 2<br />
− 6,6 F ⋅ 10 Mj2<br />
−4 ⋅ ⋅<br />
2<br />
acoustic efficienza efficiency acustica<br />
η<br />
η⋅Wm<br />
p1−p2 p1−pvcc Wm<br />
η⋅FL ⋅Wm<br />
2 η⋅<br />
Wa<br />
7<br />
Fig. 3 Rendimento e potenza acustica per i differenti regimi.