用数学模型整理实验数据

用数学模型整理实验数据 TREATMENT FO EXPERIMENTAL DATA BY MEANS OF MATHEMATICAL MODEL 马玉龙 Ma Yulong Zheng Jiexiu Zhou Xinhua 1 first-author 郑洁修 1 周新花 1 武汉大学化学系 武汉大学化学系 用线性和非线性数学模型拟合实验曲线,然后对模型求导,即可准确地确定曲线上各点的斜率及与斜率有关的模型参数。整理了不同流动模型的停留时间分布函数和不同反应级数的简单反应动力学数据,找出了适合于不同情况的数学模型,其计算结果和理论值相符。 Experimental data are fitted with mathematical model in this paper.Being the first derivative of the model function f（x） with respect to x,the slope of a point on the curve and parameters associated with it can be determined accurately.The residence-time distribution functons （step-function imput）of different flow models and data of kinetics of elementary chemical reactions of different orders are arranged.Various model functions suitable to the cases mentioned above have been found.The results calculated coincide with the theoretical values. 曲线拟合 最小二乘法 参数估计 curve fitting method of least squares parameters estimation 1990-02-01 2021-04-01 2