指数宽带模型的数学回归及其应用

Mathematical Regression of Exponential Wide Band Model and Its Application

气体辐射特性参数的确定是求解辐射传热问题的关键,指数宽带模型能够较为准确地对其进行求解,但该方法计算过程复杂,求解速度慢,不适于在线应用.针对加热炉内的烟气成分CO2和H2O,以炉子生产时烟气和炉子内表面的温度为计算范围,通过对指数宽带模型求解结果的分析,将其在各谱带的参数回归成随温度或压力变化的函数表达式,简化了宽带模型中复杂参数的求解过程.在保证精度的前提下,提高了指数宽带模型的计算速度.

To solve radiative heat transfer problems,the determination of gas radiative properties can be accurately obtained by the exponential wide band model（EWBM）,but it is unfit to online engineering application owing to its complex computational process and slow computation speed.Based on the analysis of EWBM results,the computational temperature range was determined by the temperature of furnace gas and the furnace internal surface.The parameters for each band were regressed to the functional expressions changed with temperature and pressure,which significantly simplifies the solving process and improves the computational efficiency on the premise of accuracy guarantee.