连铸二冷导热反问题数学模型建立及验证  

Establishing and Verifying Mathematical Models of Inverse Heat Conduction Problem during Aerosol Cooling Process of the Continuous Casting

作　　者：张亚竹[1,2] 赵增武[2] 胡强[2] 温治[1] 

机构地区：[1]北京科技大学机械工程学院,北京100083 [2]内蒙古科技大学能源与环境学院,内蒙古包头014010

出　　处：《计算机仿真》2015年第1期270-273,366,共5页Computer Simulation

基　　金：国家自然科学基金项目(51264030);内蒙古自然科学基金项目(41301010814)

摘　　要：针对连铸二冷导热反问题,建立了由布置在试样内部的热电偶测得的温度值反算表面温度、表面换热系数和表面热流密度的一维非稳态导热反问题计算方法,利用热平衡法建立各节点差分方程,引入泛函和灵敏度系数,通过牛顿迭代法优化假设初始值得到边界条件,利用Matlab编程实现了反算过程,并验证了导热反问题算法的准确性,反算相对误差为9.03×10-12。For inverse heat conduction problem of aerosol cooling process of the continuous casting, we established a one-dimensional inverse heat conduction problem ealeulation method with the temperature measured by internal thermoeouple, and the calculation was based on surface temperature, the surface heat transfer coefficient and the surface heat flux. In this paper, we established the difference equation for each node using thermal equilibrium method, obtained boundary conditions by optimization of the initial value through the Newton iterative method, realized the calculation process using Matlab programming, and verified the aeeuraey of the algorithm for the inverse heat conduction problem. The calculate relative error is 9.03×10^-12.

关 键 词：连铸 二次冷却 导热反问题 气雾射流 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]