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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.

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