环形加热炉管坯三维传热数学模型的研究

针对某公司环形加热炉的实际生产情况,建立了管坯加热过程的三维传热数学模型。采用交替隐式格式的TDMA（三对角矩阵）数值计算方法,开发了环形加热炉管坯加热过程三维传热数学模型计算机数值仿真系统。利用管坯内部温度黑匣子实验对所建立的数学模型进行了验证。结果表明：所建模型正确可信,同时也证明了利用管坯二维传热过程数学模型实现在线计算机优化控制的可行性。所做工作为某公司即将开展的管坯加热过程计算机优化控制奠定了坚实的理论基础。

Study on three-dimensional heat transfer mathematic model for tube rounds in ring shaped furnace

Considering practical ring shaped heating furnace of a certain company,a threedimensional heat transfer mathematic model for tube rounds heating process was established.Computer numerical simulation system of three-dimensional mathematic model for tube rounds heating process in ring shaped furnace was developed using TDMA numerical calculation method with alternative implicit pattern.The mathematic molel was varified by use of black box experiment for temperature distribution in tube rounds.Results show that the model is correct and credible.Meanwhile,on-line computer optimal control using two-dimensional tube rounds heat transfer mathematic model was also verified to be feasible.The research lays theoretical foundation for on line computer optimal control system of tube rounds heating process,which will be put into operation.