Propagation of Detonation in a Two-Layer Gas Suspension with a Concentration Discontinuity

In the framework of the equations of continuum mechanics, the processes of detonation propagation in plane channels in two-layer systems are numerically studied. Gas suspensions of aluminum are considered, which form layers of various concentrations. A physical and mathematical model of detonation in inhomogeneous suspensions of aluminum particles is constructed using known data on the dependence of the detonation velocity on the concentration of particles, the dependence of the burning rate of microdispersed and nanodispersed particles on their size, temperature and pressure of the surrounding gas. The model allows, within the framework of a single algorithm, to calculate detonation flows in gas suspensions with different spatial distributions of concentrations and particle sizes. The numerical algorithm is based on the application of the TVD scheme of Harten and Gentry-Martin-Daily for particles. The statement of the problem corresponds to the problem of initiation, formation, and development of two-dimensional flows of cellular detonation. The calculation results show that the formed cellular structures are irregular, since the reflection of transverse waves occurs not only from the channel walls, but also from the surface separating the layers. A variety of patterns of cellular detonation in two-layer systems is shown when structures different from those formed in a homogeneous mixture at the same concentrations are formed in each layer.