The evaporation of quartz particles behind strong shock waves in slightly dusty carbon dioxide

Numerical analysis is made of the evolution of spherical particles of quartz in a high-temperature flow of $\mathrm{CO}_2$ behind a direct pressure shock in the velocity range of $1.8<u_\infty<3.5$ km/s $(8<\mathrm{M}_\infty<17)$ and in the altitude range from $4$ to $40$ km for the conditions of Martian atmosphere. The results of parametric calculations are used to determine the limits of the characteristic states of melting and partial and complete evaporation of particles. It is demonstrated that, for typical trajectories of motion of vehicles of the Pathfinder and MCA type in the Martian atmosphere in the velocity range of $2<u_\infty<3$ km/s, the shock layer will be weakly dissociated, and the quartz particles in this layer for the treated trajectories will be in the molten state; in so doing, a significant part of their initial mass will remain in the disperse phase at distances of up to $10$ cm behind the shock wave.