Calculation of a spherical heterogeneous detonation

A numerical solution is obtained, within the framework of Engel's (1958) droplet atomization model, to the problem of a spherical shock wave propagating in a combustible mixture that consists of a polydisperse liquid fuel atomized in air. The shock wave is produced by a localized explosion. The arrival at the conditions of a self-sustaining heterogeneous detonation is calculated. It is shown that behind the Chapman-Jouguet surface, the profiles of the functions tend toward the self-similar profiles of a gas detonation with an equivalent heat release in an infinitely thin zone. The influence of the initial energy of the localized explosion on the formation of the detonation process is determined.