Modelling and simulation of the motion of agglomerates with a complex composition and shape in the flow of combustion products is of interest for problems related to design and optimization of solid propellant rocket motors. An approach is developed for modelling of unsteady processes that occur when a particle consisting of an aluminum droplet and a condensed oxide particle attached to it (aluminum droplet with oxide cap) is transported by a viscous incompressible fluidflow. Methods are proposed to take into account the sliding of an attached oxide particle over the surface of the aluminium droplet. The results of numerical computations are used to find the drag and heat transfer coefficients of a non-spherical particle at flow velocities corresponding to the formation of separation zones. The constructed model is one of the components of a more general mathematical model designed to calculate two-phase flows of combustion products based on a multi-scale approach to the simulation of two-phase flows in a complex environment.

对于与固体推进剂火箭发动机的设计和优化相关的问题，对燃烧产物流中具有复杂成分和形状的团块的运动进行建模和模拟具有重要意义。开发了一种方法来模拟当由铝液滴和附着在其上的凝聚氧化物颗粒（带有氧化物帽的铝液滴）组成的颗粒通过粘性不可压缩流体流传输时发生的不稳定过程。提出了一些方法来考虑附着的氧化物颗粒在铝液滴表面上的滑动。数值计算的结果用于计算非球形颗粒在与分离区形成相对应的流速下的阻力和传热系数。