填充床内传热问题的数学统计分析法

Mathematic and Statistic Method for Analysis of Heat Transfer in a Packed Bed

求解填充床热扩散微分方程的拉普拉斯变换解，用数学统计分析法求出填充床温度分布函数的统计特征值．利用Ｈｅｒｍｉｔｅ多项式进行系列变换，导出填充床内温度分布随时间的变化关系，同时给出描述温度分布特性关系的特征值，以及反映这一关系的简洁代数表达式．

The partial differential equation of heat transfer of a packed bed was solved with Lapalace's translation, and the characteristic numbers of the temperature distribution function were obtained from the mathematic and statistic analysis .The temperature distribution function of the packed bed was derived from using the Hermite's ploynomials, and characteristic numbers of the temperature distribution related to the thermal parameters were expressed by simple algebraic equations.