MATHEMATICA在过滤实验数据处理中的应用

The Application of MATHEMATICA to Data Analysis of Filtration Experiments

在过滤实验中为了从一系列“滤液量-过滤时间”数据(V-θ数据)中获得过滤常数K、Ve,传统的方法是将V-θ数据转化为(△θ/△V-V)数据,再用作图法回归出其线性关系驻兹驻V=驻2KA2 V+KA22 Ve,进而求出相应的过滤参数。将介绍一种新的计算方法,即借助数学软件MATHEMATICA,直接根据V-θ的原始数据回归出二次关系曲线V2+2VeV=KA2兹,从而确定出参数K和Ve的值。本方法比传统方法更精确(尤其是对于有噪音的数据)、简便。

The traditional methodology to obtain the filtration constants K and Ve was transforming data from the form of V-θinto the form of △θ/△V-V,and then achieving the linear relation △θ/△V=（2/KA^2）V＋（2/KA^2）Ve.In the present paper, by means of the software MATHEMATICA the second-order relation V^2＋2VeV=KA^2θ could be directly obtained,and K and Ve could be determined accurately and conveniently.