A mathematical model has been developed to predict the decarburization rate within individual droplets in the emulsion zone. All the chronological events pertaining to the life cycle of a metal droplet in the emulsion zone like oxygen supply (from slag), external and internal decarburization have been modeled dynamically and validated against experimental data available in open literature. The bloating behavior of metal droplets in the emulsion was represented theoretically by incorporating an escape function dependent on internal CO gas generation. The model is able to predict the onset of bloating and the residence time of metal droplets in the emulsion zone. The residence time of droplet containing 2.6 wt pct C and 0.007 wt pct S is in the range of 10 to 13 seconds. The contribution of decarburization rate in the emulsion zone to the overall decarburization rate is studied using the industrial data reported by Cicutti et al. The model predicts 5 to 75 pct of total decarburization takes place in the emulsion zone. It is found that the extent of decarburization of a metal droplet depends on its initial carbon content rather than its oxygen content for slag containing FeO greater than 10 wt pct.

中文翻译：

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乳化区金属液滴的脱碳动力学

已经开发出一种数学模型来预测乳液区中单个液滴内的脱碳率。所有与乳液区金属液滴生命周期相关的时间顺序事件，如氧气供应（来自炉渣）、外部和内部脱碳，都已动态建模，并根据公开文献中可用的实验数据进行验证。乳液中金属液滴的膨胀行为在理论上通过结合依赖于内部 CO 气体生成的逃逸函数来表示。该模型能够预测膨胀的开始和金属液滴在乳液区的停留时间。含有 2.6 wt pct C 和 0.007 wt pct S 的液滴的停留时间在 10 到 13 秒的范围内。使用 Cicutti 等人报道的工业数据研究了乳化区脱碳率对整体脱碳率的贡献。该模型预测 5 到 75% 的总脱碳发生在乳化区。发现金属液滴的脱碳程度取决于其初始碳含量，而不是其含 FeO 大于 10 wt pct 的炉渣的氧含量。