中文摘要：

高炉是一个气固向流的复杂冶金反应器。为了更好地理解、控制和改进高炉炼铁过程，更多的努力被用于开发高炉数学模型，特别是基于反应动力学理论而开发的反应动力学模型。本文简述了全高炉反应动力学模型的发展历程，介绍了该类模型的代表-基于多流体理论、反应动力学、冶金传输理论而创建的多流体高炉数学模型．并对全高炉数学模型的未来发展做出了若干展望。

英文摘要：

Blast furnace is a complex metallurgical reactor with gas - solid counter - flow. In order to understand, control and improve the blast furnace process, more efforts are made to develop mathematical models, especially ones based on the theories of reaction - kinetics. At first, historic reviews on total blast furnace model of reaction - kinetics are made in the paper. Then, multi - fluid blast furnace is introduced as one of the latest reaction - kinetics models. Multi - fluid model is developed on basis of multi - fluid theory, kinetics, transport phenomena theory and computational fluid dynamics. Finally, some perspectives are made for the future developing trends of total blast furnace models.