Outgoing of a heterogeneous detonation wave into a channel with linear expansion. I. Propagation modes

Propagation of a plane detonation wave in a stoichiometric mixture of a gas and aluminum particles in a plane channel with a linear expansion section is studied by methods of numerical simulation. The slope of the wall is varied from 15 to 60$^\circ$. The basic modes of detonation propagation are analyzed: supercritical (without failure), critical (with partial failure and re-initiation), and subcritical (with complete separation of the shock front and combustion front and with detonation failure). The detonation configuration formed in the expanding section can be a cellular structure with large differences in cell sizes at large angles of expansion or a close-to-uniform structure at the wall angle of 15$^\circ$.