待定系数法确定双辊薄带铸轧中的边界热流

熔池与铸轧辊接触的边界热流是进行双辊薄带铸轧数值模拟研究的重点，通过铸轧过程中金属凝固机制和传热过程的研究，提出结晶辊和熔池接触的边界热流分布函数形式，利用凝固初始位置、薄带坯出坯厚度，再结合能量守恒原理进行求解，确定函数中的待定参数，避开传统方法需要求解坯壳和铸轧辊间气隙热阻的难题；通过施加所提出的边界热流函数对某试验铸轧辊温度场进行求解，结果与实测结果相吻合，这表明文中提出的边界热流分布函数形式与实际相符合。

Application of undetermined coefficient method in research for boundary heat flux of twin-roll strip casting process

In the process of the twin-roll strip casting simulation research,the contacting boundary heat flux between molten pool and casting roll is the key. By studying the mechanism of metal solidification and heat transfer,the contact-ing boundary heat flux distribution function form between crystallization roller and molten pool was proposed. Using the initial position of solidification,the thickness of thin strip,and combined with the principle of conservation of energy, thus the unknown parameters of the function are determined. The difficult problem of the air gap thermal resistance be-tween the casting roll and shell in traditional approach is avoided here. Applying the proposed boundary heat flux func-tion to solve the casting roll temperature field in a certain experiment,the solved results are coincided with the measured results,and it indicates the proposed boundary heat flux distribution is consistent with the actual distribution.