The use of nanomaterials for the implementation of a new set of functional properties has no alternative when creating refractory composite materials. Fine-dispersed Al₂O₃ is a necessary component of special high-quality cements, heat-resistant inert refractories and abrasive materials. Equations are obtained for the average values of the Euler and Reynolds criteria, the relaxation time of liquid droplets with integrated nanoparticles depending on their median size in the process of hydro-vortex classification. The tests carried out confirmed that under the conditions of self-similar hydro-vortex coagulation in the process of hydro-vortex classification, the inertial forces acting on the unsteady hydro-vortex motion of the dispersed system a drop of liquid — a microparticle of material, significantly affect the trajectory of its motion in comparison with the forces acting in the direction of motion of the fluidized bed of dispersed material. In this case, the control action provides a constant relaxation time, which significantly increases the efficiency of the influence of the angular velocity of droplet rotation on the classification process. Thus, inertial hydro-vortex classification in the self-similarity mode makes it possible to control the trajectories of motion of microparticles. At the same time, the energy of the translational motion of liquid droplets, determined by the characteristics of the hydro-vortex nozzles of the aerator, ensures the constancy of the time of the inlet manifold of the receiving hopper for relaxation, allowing the median diameter range of 0.5 × 10^–6 – 5 × 10^–6 m to be provided with a dispersion of no more than 20 % on their median diameter with a larger width of the inlet header of the receiving hopper.

在创建耐火复合材料时，使用纳米材料来实现一组新的功能特性是无可替代的。细分散的Al ₂ O ₃是特殊优质水泥，耐热惰性耐火材料和磨料的必要成分。获得欧拉和雷诺准则的平均值的方程，其中具有集成纳米颗粒的液滴的弛豫时间取决于其在水涡旋分类过程中的中值尺寸。进行的测试证实，在水漩涡分类过程中自相似水漩涡凝结的条件下，作用于分散系统不稳定水漩涡运动的惯性力是一滴液体-一种材料的微粒与在分散材料的流化床的运动方向上作用的力相比，α1显着影响其运动的轨迹。在这种情况下，控制动作会提供恒定的松弛时间，这显着提高了液滴旋转角速度对分类过程的影响效率。因此，在自相似模式下的惯性水涡分类可以控制微粒的运动轨迹。同时，由曝气机的水力涡流喷嘴的特性决定的液滴平移运动的能量，确保了接收料斗的进气歧管的时间恒定，以便松弛，从而允许中值直径范围0.5×10^–6 – 5×10 ^–6 m在其中值直径上的分散度不超过20％，并且接收料斗的入口集管的宽度较大。