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基于分形理论,建立了Al2O3凝聚态夹杂物分形碰撞凝聚长大新数学模型,并利用Fluent软件将此新数学模型应用于某钢铁公司冶炼铝镇静钢的中间包中,从夹杂物的分布特征角度比较了新数学模型与传统等体积球状数学模型的差异。结果表明:与传统等体积球状数学模型相比,Al2O3凝聚态夹杂物分形碰撞凝聚长大新数学模型的计算结果数值较大,且夹杂物粒子分布特征复杂;新数学模型显示出了夹杂物粒子容易在出水口和入水口富集的特征,这与实际生产中Al2O3夹杂物容易堵塞水口现象一致;实际生产中很难找到球形Al2O3夹杂物,大多是簇群状形貌夹杂物,分形维数在1.78~1.85,表明Al2O3夹杂物分形碰撞凝聚长大新数学模型具有一定的现实意义。

A new numerical simulation method of colliding-agglomerating growth of Al2O3 inclusions

Based on fractal theory, a new numerical simulation method of colliding-agglomerating growth of fractal Al2O3 agglomerated inclusions was established and applied into smelting a tundish of Al-killed steel in a steel company with Fluent software. The distribution characteristics of Al2O3 inclusions were compared between the new mathematical model and the traditional equal-volume spherical mathematical model. The results indicated that: compared to the traditional equal-volume spherical mathematical model, the value of computation results by the new mathematical model were larger and the distribution of Al2O3 inclusions was more complicated; the new mathematical model showed the inclusions accumulated easily at the inlet and outlet of tundish, which was consistent with the phenomenon of nozzle clogging by Al2O3 inclusions in actual production process; it was difficult to find spherical Al2O3 inclusions in actual production, and most were inclusions in cluster shape with fractal dimensions value about 1.78-1.85, which indicated that this new mathematical model of colliding-agglomerating growth of fractal Al2O3 agglomerated inclusions had certain practical significance.