A comprehensive, 1-D model of steady-state detonation of a condensed explosive with inert particles was developed. The interaction between the particles and leading shock wave front was described by a novel approach accounting for the penetration of a single particle through the shock wave and generalized jump conditions on the leading shock wave. Results for the detonation of RDX and inert aluminum particles, 0.1 and 5 microns in diameter, with mass fractions in the range of 0 to 40% were obtained. The theory predicts that the detonation velocity can increase or decrease with the addition of 5-micron inert particles depending on the EOS of the explosive. The detonation velocity of the mixture decreased with increasing 0.1-micron particle mass fraction.
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