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Shock-to-detonation transition: A model problem. (English) Zbl 0744.76073
Summary: The process by which a trigger ignited shockless weak detonation is transformed into a classical Zeldovich-von Neumann-Doering (ZND) detonation as the trigger wave decelerates is considered in detail. This occurs as the trigger speed passes through the Chapman-Jouguet velocity. The model that is developed describes the birth and subsequent growth of a shock in the weak detonation reaction zone. This shock ultimately sustains the shock-ignited ZND detonation. The time-dependent solution presented here fills one of the many gaps in the understanding of detonation flows; an understanding based almost entirely on steady wave structures.

MSC:
76L05 Shock waves and blast waves in fluid mechanics
80A25 Combustion
80A32 Chemically reacting flows
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References:
[1] Zeldovich Y. B., Astronaut. Acta 15 pp 313– (1970)
[2] DOI: 10.1137/0145005 · Zbl 0587.76115
[3] DOI: 10.1137/0149027 · Zbl 0673.76080
[4] DOI: 10.1063/1.1706353
[5] DOI: 10.1017/S0022112086001349 · Zbl 0607.76067
[6] DOI: 10.1063/1.857554 · Zbl 0661.76060
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