DDT Detonation Run-Up Distance Calculator
Explosion dynamics & supersonic combustion: Compute the Chapman-Jouguet ($CJ$) detonation velocity ($D_{CJ}$), peak detonation shock pressure ($P_{CJ}$), and Deflagration-to-Detonation Transition ($DDT$) run-up distance.
Fuel Mixture & Duct Geometry
BR = 0 for smooth pipe; 0.3–0.5 for rings/baffles
Detonation Wave & Transition Output
DDT Run-Up Distance X_DDT:
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meters from ignition
Peak CJ Pressure P_CJ:
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bar (~15–20 × P₀)
CJ Velocity D_CJ:
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m / s (supersonic)
Reflected P_refl:
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bar (~2.5 × P_CJ)
Detonation Mach:
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M_CJ
DDT Length-to-Diameter Ratio ($X_{DDT} / D$)
Normalized Run-Up Ratio $X_{DDT} / D$:
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Detonation Cell Size $lambda_{cell}$:
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