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Troels Dyhr Pedersen.indd - Solid Mechanics

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16 Appendix B: Detonation model in EES<br />

P1 = 2,4 x 10 6<br />

T1 = 726<br />

ρ1 = x1;N2 · ρN2;1 + x1;O2 · ρO2;1 + x1;DME · ρC2H5OH;1 · MW 1<br />

v1 = 1<br />

λ = 3<br />

ρ1<br />

StCoef = 3<br />

e1 = x1;N2 · uN2;1 + x1;O2 · uO2;1 + x1;DME · uC2H5OH;1<br />

MW 1<br />

x1;N2 = 3,76 · StCoef ·<br />

x1;O2 = StCoef ·<br />

x1;DME =<br />

λ<br />

3,76 · StCoef · λ + StCoef · λ + 1<br />

λ<br />

3,76 · StCoef · λ + StCoef · λ + 1<br />

1<br />

3,76 · StCoef · λ + StCoef · λ + 1<br />

MW 1 = x1;N2 · 28 + x1;O2 · 32 + x1;DME · 46<br />

γ 1 = cp1<br />

cv1<br />

- 86 - -<br />

cp1 = x1;N2 · Cp ('N2'; T =T1 ) + x1;O2 · Cp ('O2'; T =T1 ) + x1;DME · Cp ('C2H5OH'; T =T1 )<br />

MW 1<br />

cv1 = x1;N2 · Cv ('N2'; T =T1 ) + x1;O2 · Cv ('O2'; T =T1 ) + x1;DME · Cv ('C2H5OH'; T =T1 )<br />

MW 1<br />

P2 = μ · MW 1<br />

MW 2<br />

e2 – e1 = Ra<br />

MW 2<br />

Ra = 8,314<br />

· T2<br />

T1<br />

·<br />

· P1<br />

T2<br />

2 · γ 2<br />

ρ2 = x2;N2 · ρN2;2 + x2;O2 · ρN2;2 + x2;H2O · ρH2O;2 + x2;CO2 · ρCO2;2 · MW 2<br />

v2 = 1<br />

ρ2<br />

e2 = x2;N2 · uN2;2 + x2;O2 · uO2;2 + x2;H2O · uH2O;2 + x2;CO2 · uCO2;2<br />

MW 2<br />

x2;N2 = 0,7546<br />

x2;O2 = 0,1337<br />

x2;H2O = 0,0667<br />

x2;CO2 = 0,0446<br />

MW 2 = x2;N2 · 28 + x2;O2 · 32 + x2;H2O · 18 + x2;CO2 · 44<br />

γ 2 = cp2<br />

cv2

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