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建材中VOCs扩散系数和分配系数的模型研究
引用本文:张新,朱敏,冀志江,王利民,陈海江,赵书银. 建材中VOCs扩散系数和分配系数的模型研究[J]. 数学的实践与认识, 2017, 0(2): 215-220
作者姓名:张新  朱敏  冀志江  王利民  陈海江  赵书银
作者单位:1. 河北建筑工程学院 数理系,河北 张家口,075024;2. 中国建筑材料科学研究总院 绿色建筑材料国家重点实验室,北京,100024;3. 中煤张家口煤矿机械有限责任公司,河北 张家口,075026
摘    要:Bodala,运用静态双仓法建立的测定干建材中VOCs扩散系数和分配系数的数学模型是合理的,有一定的应用价值.但该模型假设低浓度仓中VOCs的初始浓度为零,限制了模型的应用范围.针对使用VOCs液体为污染源且建材透气性较好的条件,作出合理的假设,构建了VOCs在建材中扩散的数学模型.采用LaplaceCarson变换详细求解模型,得出计算VOCs扩散系数的方法,并运用两组数据对模型进行了比较分析,结果表明优化后的模型有一定的实用性和可行性.

关 键 词:VOCs  扩散系数  分配系数  初始浓度  特征方程

A Model of Measuring Diffusion Coefficient and the Partition Coefficient
ZHANG Xin,ZHU Min,JI Zhi-jiang,WANG Li-min,CHEN Hai-jiang,ZHAO Shu-yin. A Model of Measuring Diffusion Coefficient and the Partition Coefficient[J]. Mathematics in Practice and Theory, 2017, 0(2): 215-220
Authors:ZHANG Xin  ZHU Min  JI Zhi-jiang  WANG Li-min  CHEN Hai-jiang  ZHAO Shu-yin
Abstract:the mathematical model of measuring diffusion coefficient and the partition coefficient of VOCs for dry building materials using static double-storehouse method i is established by Bodalal.The model is reasonable and has certain application value,but this model assumes that the initial concentrations of VOCs in low concentration storehouse is zero,limiting the range of application of the model.In this paper,a model is reestablished in accordance with condition of VOCs liquid for pollution source and good air permeability of building material,the detailed derivation by Laplace-Carson transform and calculation method of VOCs diffusion coefficient are introduced,and the analysis and comparison of the model are also presented by two sets of data.The results show that the optimized model has certain practicability and feasibility.
Keywords:VOCs  the diffusion coefficien  the partition coefficient  initial concentration  characteristic equation
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