Effective Diffusion Coefficient: From Homogenization to Experiment
Effective Diffusion Coefficient: From Homogenization to Experiment
复制标题
有效扩散系数：从均质到实验
DOI：
10.1023/a:1006599410942
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发表时间：
1997
影响因子：
2.7
通讯作者：
J. Lewandowska
中科院分区：
文献类型：
--
作者：
J. Auriault;J. Lewandowska
本文给出了一个应用均匀化方法（渐近展开技术）预测等效连续介质有效扩散系数的实例，并对理论结果进行了实验验证。建立了测量有机玻璃周期性多孔介质扩散的实验装置。阐述了用有限元法求解一段时间的局部边值问题和计算有效扩散系数的计算机程序。理论与实验的对比表明，有效扩散系数的数值与实验值吻合较好。从均质化理论的角度对试验数据进行了解释。
In this paper, an example of the application of the homogenization approach (asymptotic expansion technique) to predict the effective diffusion coefficient for an equivalent continuum, together with the experimental verification of the theoretical results is presented. The experimental setup was constructed for the measurements of diffusion in a model periodic porous medium made of Plexiglas. The computer program using the FEM was elaborated to solve the local boundary value problem for a period and to calculate the effective diffusion coefficient. The comparison between the theory and the experiment indicates good agreement between the numerical and experimental values of the effective diffusion coefficient. Interpretation of the test data from the point of view of the homogenization theory is also incorporated.