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将复杂的炉内火焰与钢坯传热过程简化为面热源传热,用数学解析的方法研究钢坯热过程温度响应特征。研究表明:可用非稳态导热数学模型表述钢坯热过程;用分离变量、傅立叶级数、傅立叶变换、线性叠加等方法,求得钢坯温度函数精确解;解析解与FEMLAB3.1数值计算吻合良好,证实了钢坯热过程数学解析的有效性和准确性。
The complicated heat transfer process between the furnace flame and billet is simplified as surface heat source heat transfer, and the mathematic analysis method is used to study the temperature response characteristics of billet thermal process. The results show that the billet thermal process can be expressed by the unsteady thermal conductivity mathematical model; the exact solution of the temperature function of the billet can be obtained by using the methods of separation variables, Fourier series, Fourier transform, linear superposition, etc. The analytical solutions are in good agreement with FEMLAB 3.1, It confirms the validity and accuracy of mathematic analysis of billet thermal process.