连铸坯凝固传热过程的数学模型分析

连铸坯凝固传热数学模型对定量分析连铸过程中的热量传递、改善连铸坯质量及实现过程级的动态控制有重要意义．分析了连铸坯在结晶器和二次冷却区凝固传热的特点；重点讨论了建立连铸坯凝固传热数学模型的主要方法，给出了当前代表性的定解条件及参数确定方法；对凝固传热模型的主要数值计算方法，如有限差分法、有限元法以及边界元，进行了对比分析；指出进一步开发实用化凝固传热模型，研究连铸坯凝固传热动态控制模型将在高效连铸生产中发挥更大作用．

Advance in Mathematic Model of Solidification Heat Transfer Process in Continuous Casting

The mathematic model of solidification heat transfer process in continuous casting strand is useful for quantitatively analyzing heat transfer in continuous casting process, quality control and process control. The heat transfer in continuous cast strand in crystallizer and secondary cooling zone have been analyzed. The attention has been paid to basic logic and methodology in model building up. Typical methods determing solution condition and parameters for the model have been discussed. Some numerical methods at the present time for solving solidification heat transfer model, such as finite difference method, finite-element method and boundary element, have been investigated comparatively. In the future, working on solidification heat transfer model, which is more practical, and the integration of the control model will play an important role in the development of high efficiency continuous casting technology.