The results of numerical simulation of the particle-laden supersonic flows expanding from converging-diverging nozzle into a rarefied atmosphere are presented. To calculate flow quantities in a wide range of nozzle pressure ratios and investigate a possibility of a strong turn of the flow at the nozzle outlet, a marching scheme and finite volume method are applied. The marching calculations of the supersonic jet starts from the nozzle section, in which supersonic flow velocities are realized. The trajectories of motion of solid particles during the flow expansion are provided. The influence of the particle size and coordinates of the particle injection point into the flow on their transport by a supersonic flow is discussed. The results of calculations obtained in the framework of the Stokes approximation for the drag coefficient of an individual particle and with corrections for the inertia of the particle and rarefaction of the gas flow are compared. Conclusions are drawn about the effect of the dispersed phase on the distribution of gas flow quantities. The calculation results are of interest for studying supersonic particle-laden flows around bodies and for calculating oblique shock waves.

给出了含粒子超音速流从会聚-扩张型喷管膨胀到稀薄大气的数值模拟结果。为了计算各种喷嘴压力比下的流量并研究喷嘴出口处流动强烈转向的可能性，应用了推进方案和有限体积法。超音速射流的行进计算从喷嘴截面开始，其中实现了超音速流速。提供了流动膨胀期间固体颗粒的运动轨迹。讨论了粒子大小和粒子注入点的坐标对超音速流传输的影响。比较了在斯托克斯近似框架下获得的单个粒子阻力系数的计算结果，以及对粒子惯性和气流稀疏度的校正。得出关于分散相对气体流量分布的影响的结论。计算结果对于研究物体周围的超音速粒子流和计算倾斜冲击波很有意义。