A simplistic model for the tortuosity in two-phase close-celled porous media
A simplistic model for the tortuosity in two-phase close-celled porous media
复制标题
DOI：
10.1088/0022-3727/46/12/125305
复制
发表时间：
2013-02
期刊：
影响因子：
--
通讯作者：
X. H. Yang;T. Lu;T. Kim
中科院分区：
文献类型：
--
作者：
X. H. Yang;T. Lu;T. Kim
我们提出了一个分析模型，能够证明两相多孔介质的弯曲度对两个拓扑参数的依赖性：孔隙率和孔隙形状。基于广义有效热导率模型和具有随机分布的非导热圆孔的两相多孔介质拉普拉斯热传导方程的特定解，推导了弯曲度的解析模型。对于理想多边形孔隙等非圆形孔隙，模型中引入了基于圆形的孔隙形状因子概念，能够在分析上统一仅对有限孔隙度范围和圆形孔隙形状有效的现有模型。
We present an analytical model capable of demonstrating the dependence of tortuosity of two-phase porous media upon two topological parameters: porosity and pore shape. Based on a generalized effective thermal conductivity model and a particular solution to the Laplace heat conduction equation for two-phase porous media having randomly distributed non-conducting circular pores, an analytical model of tortuosity is derived. For non-circular pores such as idealized polygonal pores, the circularity-based concept of pore shape factor is incorporated into the model, which is capable of analytically unifying existing models which are valid only for limited porosity ranges and circular pore shapes.