Calculations of the Thermal Conductivity of Porous Materials
Calculations of the Thermal Conductivity of Porous Materials
复制标题
多孔材料导热系数的计算
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
J. Gracio
中科院分区：
文献类型：
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作者：
T. Fiedler;E. Pesetskaya;A. Öchsner;J. Gracio
本文基于两种不同的方法对多孔材料的几何有效导热系数进行了研究：以数值近似方法为代表的有限元方法和基于各自边值问题解的二维均匀化模型的解析方法。研究发现，相对电导率实际上与夹杂物的具体形状或拓扑结构无关。只有结构的形态（闭孔或开孔）对电导率有轻微影响。此外，二维模型的圆形夹杂物的小扰动增加了有效电导率。
In this paper, the geometrical effective thermal conductivity of porous materials is investigated based on two different approaches: the finite element method as a representative for numerical approximation methods and an analytical method for 2D homogenised models based on a solution of the respective boundary value problem. It is found that the relative conductivity is practically independent of the specific shape or topology of the inclusions. Only the morphology (closed-cell or open-cell) of the structure slightly influences the conductivity. Furthermore, it is shown that a small perturbation of the circular inclusions of 2D models increases the effective conductivity.