Initiation of spherical detonation in hydrocarbon/air mixtures

Qualitative modeling of the dynamics of detonations with losses

“…The general trend of the solution appears to be physically reasonable, reflecting the strong instability of the lower branch of the D-c f curve and the attracting character of the upper branch. It is interesting that very similar behavior was observed in experiments on initiation of spherical detonation in hydrocarbon-air mixtures[17].…”

“…where x ∈ (−∞, 0] and c f is a constant friction coefficient. The goal of the following calculations is to determine the role of c f in the existence and structure of the steady-state solutions of (17). Figure 1 shows the computed dependence the lower branch of the steady-state u s -c f curve is always unstable while the top branch can be stable or unstable.…”

Dynamic Parameters of Gaseous Detonations

“…The most extensive of these measurements for fuel-air mixtures are those by Bull et al (1978). The dependence of the critical energy (or, equivalently, the weight of the solid explosive charge used) on the equivalence ratio 4> is, like all dynamic parameters, in the form of U shaped curves with the minimum around stoichiometric composition (i.e.…”

A Method of Calculation of the Critical Energy for Direct Initiation of Unconfined Detonation

“…If this decay does not bring to an end rapid combustion in the reaction zone, the detonation wave, after reaching its minimum value, is gradually accelerated towards the ChapmanJouguet detonation velocity of the mixture. This behavior of the detonation wave was observed experimentally by Bar-Or et al (1980) for cylindrical symmetry and by Bull et al (1978) for spherical symmetry. Mitrofanovet al (1979), Eidelmanand Burcat (l980), and Eidelmanand Sichel(198l) all have simulated detonation wave decay and acceleration in two-phase medium.…”