In the current paper, extensive studies of the current authors on the modelling of non-metallic inclusions were summarised. Kinetic studies included the nucleation, collision and agglomeration of inclusions, the interaction between inclusion and bubble in the molten steel, the motion, collision, and removal of inclusions in the molten steel during refining and continuous casting and the entrapment of inclusions in a continuous casting slab strand. Thermodynamic studies included the deoxidation of steel and precise calcium treatment of Al-killed steels. The variation in the composition of inclusions during heating treatment of stainless steels was summarised. The studies ranged from nanoscale of molecules to sub-mili meter scale of inclusions within a meter scale metallurgical vessels, over 10 order in size, and clarified mechanisms for the generation, growth, motion and removal of inclusions in steel.
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