中文摘要：

基于群体平衡模型，在奥斯特瓦尔德熟化的基础上，考虑布朗碰撞对分子扩散长大的影响，建立了钢液中Al2O3夹杂物碰撞生长的动力学模型，包括分子扩散长大以及由于布朗、斯托克斯和湍流碰撞引起的夹杂物聚集、生长，采用颗粒尺寸分组法对夹杂物的聚集生长进行了模拟．结果表明，湍动能耗散率从0．1m2／s^3增加到10m2／s^3时，对临界尺寸以下粒径的分子微粒的数量密度影响较小，但对临界尺寸以上大粒径夹杂物分子微粒的数量密度影响较大碰撞过程中，夹杂物最大数量密度对应的极值直径约为0．2μm．

英文摘要：

The growth kinetic models of non-metallic Al2O3 inclusions in liquid steel based on population balance model are developed to simulate their molecular diffusion and growth resulting from Brownian, Stokes and turbulent collisions. Brownian collision is considered in the stage of molecular diffusion, besides, Ostwald ripening. Particle-size-grouping method is applied to simulate the aggregation and growth of inclusions. The results show that the change of inclusion number density is slight for the inclusion diameter smaller than critical size, and significant for the diameter bigger than critical size as turbulent energy dissipation rate increases from 0.1 to 10 m2/s3. The peak-value diameter is around 0.2μm corresponding to the maximum number density during collision and growth.