Calculation of the Mean Thermal Conductivity of Heterogenious Solid Mixture with the Voronoi-Polyhedron Element Method
Calculation of the Mean Thermal Conductivity of Heterogenious Solid Mixture with the Voronoi-Polyhedron Element Method
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Voronoi-多面体元法计算非均相固体混合物的平均导热系数
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
Yasuhira Kondou
中科院分区：
文献类型：
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作者：
Mutsuo Kobayashi;H. Maekawa;H. Nakamura;Yasuhira Kondou
将三维封闭空间离散为Voronoi多面体单元的方法应用于非均质固体混合物热传导问题的数值分析。计算是针对两种随机分布组分的各种混合物进行的。两组分混合物的热导率受组分相对于平均热流方向的布置的影响比受组分的形状的影响更大。热导率的统计平均值可以通过几何平均值粗略地近似。根据计算结果得到了经验公式。为了准确地预测三组分或多组分混合物的导热系数，本文提出的数值计算方法可以成功地应用。
A method of discretizing a three-dimensional closed space into the Voronoi-polyhedron elements was applied to the numerical analysis of heat-conduction problems in heterogeneous solid mixtures. The computation was done for various mixtures of two randomly distributed components. Thermal conductivity of the two-component mixture is more strongly affected by the arrangement of components with respect to the mean heat flow direction than by the shape of components. The statistical mean of thermal conductivity can be roughly approximated by the geometrical average. Empirical formulae were obtained from the results. In order to accurately predict the thermal conductivity of a mixture of three or more components, the numerical calculating method divised in this study can be employed successfully.