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Effective conductivity in random porous media with convex and non-convex porosity

机译：具有凹凸孔的随机多孔介质中的有效电导率

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摘要

A fundamental study on the effective conductivity in random porous media is presented in this paper. Porous media are distinguished based on the convexity of the insulating porous phase: microstructures with convex porosity are representative of foams and sponges, while non-convex porosity includes granular and particulate materials. This distinction allows us to identify two limit cases within which the effective conductivity of an isotropic porous medium lies. The effective conductivity is evaluated through a random walk method, applied on structures numerically reconstructed with packing algorithms which use spheres to represent convex elements. Simulation results are compared with theoretical relations and experimental data in a range of 0-40% in porosity, wherein the solid phase is entirely connected and not suspended in the porous phase. This study shows that, given the porosity, structures with convex porosity are more conducting than structures with non-convex pores, because the bottlenecks for conduction are narrower in the second case. These situations identify two limit cases for the effective conductivity in a random isotropic porous medium, as confirmed by experimental data of structures with partly convex and partly non-convex porosity. In addition, for convex porosity the effective conductivity is larger when pores are isolated, attaining the Hashin-Shtrikman upper bound, while when pores are overlapped the effective conductivity is well described by the Archie power law.
机译：本文对无规多孔介质中的有效电导率进行了基础研究。多孔介质根据绝缘多孔相的凸度进行区分：具有凸孔的微结构代表泡沫和海绵，而非凸孔包括颗粒和颗粒材料。这种区别使我们能够确定各向同性多孔介质有效电导率所处的两种极限情况。有效电导率通过随机游走法进行评估，应用于通过填充算法使用球体表示凸单元的填充算法进行数值重建的结构上。将模拟结果与孔隙率在0-40％范围内的理论关系和实验数据进行了比较，其中固相完全连接且没有悬浮在多孔相中。这项研究表明，给定孔隙度，具有凸孔的结构比具有非凸孔的结构更具导电性，因为在第二种情况下，导电瓶颈更窄。这些情况确定了随机各向同性多孔介质中有效电导率的两个极限情况，这已通过具有部分凸形和部分非凸形孔隙的结构的实验数据证实。另外，对于凸孔率，当隔离孔时，有效电导率较大，达到Hashin-Shtrikman上限；而当孔重叠时，有效电导率由Archie幂定律很好地描述。

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  • 作者

    C.C. Chueh; A. Bertei; J.G. Pharoah; C. Nicolella;

  • 作者单位

    Queen's-RMC Fuel Cell Research Centre, 945 Princess Street, K7L SL9 Kingston, Ontario, Canada ,Department of Mechanical and Materials Engineering, Queen's University. K7L 3N6 Kingston, Ontario, Canada;

    Department of Civil and Industrial Engineering, University of Pisa, Largo Lucio Lazzarino 2, 56126 Pisa, Italy;

    Queen's-RMC Fuel Cell Research Centre, 945 Princess Street, K7L SL9 Kingston, Ontario, Canada ,Department of Mechanical and Materials Engineering, Queen's University. K7L 3N6 Kingston, Ontario, Canada;

    Department of Civil and Industrial Engineering, University of Pisa, Largo Lucio Lazzarino 2, 56126 Pisa, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Porous media; Effective properties; Conductivity; Microstructure; Simulation;

    机译：多孔介质有效特性电导率微观结构模拟;

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