zbMATH — the first resource for mathematics

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.

76L05 Shock waves and blast waves in fluid mechanics
80A25 Combustion
80A32 Chemically reacting flows
Full Text: DOI
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.