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Untitled - Aerobib - Universidad Politécnica de Madrid

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122 CHAPTER 5. STRUCTURE OF THE COMBUSTION WAVES<br />

zone of negligible thickness compared to that of the <strong>de</strong>tonation wave, where no appreciable<br />

chemical reaction occurs. After the shock wave the combustion is initiated. The<br />

gases expand and accelerate and the pressure <strong>de</strong>creases. Temperature rises due to the<br />

reaction. For Chapman-Jouguet <strong>de</strong>tonation and slightly strong <strong>de</strong>tonations, the maxi-<br />

20<br />

18<br />

T/T 1<br />

16<br />

14<br />

12<br />

10<br />

8<br />

6<br />

D<br />

C<br />

ε =0.3<br />

E<br />

ε =1<br />

J<br />

K<br />

ε =0.7<br />

E‘<br />

4<br />

2<br />

0<br />

ε =0<br />

Trayectory through shock wave<br />

P<br />

0.2 0.4 0.6 0.8 1.0<br />

τ /τ 1<br />

Figure 5.3: Hugoniot diagram in variables (T, τ).<br />

15<br />

50<br />

1.0<br />

13<br />

40<br />

C<br />

P/P 1<br />

K<br />

J<br />

0.8<br />

11<br />

30<br />

J<br />

0.6<br />

T/T 1<br />

9<br />

P/P 1<br />

20<br />

T/T 1<br />

J<br />

0.4<br />

τ/τ 1<br />

7<br />

10<br />

C<br />

C<br />

τ/τ 1<br />

0.2<br />

5<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Figure 5.4: Typical values of T , p and τ in a Chapman-Jouguet <strong>de</strong>tonation as a function of<br />

the fraction of burnt gases.<br />

ε

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