A mathematical model of detonation in a two-phase mixture consisting of a gaseous monofuel and closely packed noninflammable solid particles is proposed. The structure of detonation waves in a pure gas is compared to that in monodisperse mixtures with various diameters of particles. Two special regimes of detonation are separated, in which (i) gas is immediately inflamed due to shock compression and (ii) ignition starts at the surface of particles, upon reflection of the chock wave front. It is shown that inertial effects during the flow past particles can both increase and decrease the detonation velocities. The calculated detonation velocities well agree with experimental data.
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