难变形金属薄带温轧卷取加热温度计算

设计开发了两侧配备热卷取箱的温轧机组，用于难加工金属薄带成卷轧制生产.采用二维圆柱坐标系，考虑沿带卷的径向和轴向传热，建立薄带卷取温度计算模型.在计算径向导热系数时将带卷沿径向分为薄带层、氧化层和间隙层.利用有限差分法，建立轴向和径向的显式差分方程和隐式差分方程，并采用交替方向隐式法进行求解.边界传热系数以辐射换热为主，并通过引入修正系数来考虑其他因素的影响.进行薄带卷取加热测温实验，回归实测温度与加热时间的关系函数，利用实测温度对传热修正系数进行优化，计算温度和实测温度偏差控制在±2℃以内.

Calculating Strip Coil Heating Temperature in the Warm-Rolling Process for Difficult-to-Deform Metals

A warm-rolling mill with two hot coil boxes was designed to process difficult-to-deform metals strip. A numerical model was built to calculate strip coil temperature in a two dimensional cylindrical coordinate system， which considered the heat transferring along radial and axial directions. The thermal conductivity coefficient of radial direction was calculated according to the structures of strip layer， oxide layer and interface layer. The axial and radial explicit and implicit differential equations were deduced by finite differential method， solved by the alternating direction implicit method(ADI). The boundary condition of heat transfer coefficient was dominated by radiation mechanism， where a correction coefficient was introduced to consider other factors. The strip coil heating temperature was firstly measured through experiment. Then a linear relation between the actual temperature and heating time was regressed. After using the correction coefficient of heat transfer optimized by the actual temperature， the temperature can be calculated by the model， with the error within ±2℃ compared with the experimental temperature.