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首页> 外文期刊>Journal of Heat Transfer >Effective Conductivity of a Composite in a Primitive Tetragonal Lattice of Highly Conducting Spheres in Resistive Thermal Contact With the Isolating Matrix
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Effective Conductivity of a Composite in a Primitive Tetragonal Lattice of Highly Conducting Spheres in Resistive Thermal Contact With the Isolating Matrix

机译：与绝缘基质电阻热接触的高导电性球的本征四边形晶格中复合材料的有效电导率

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摘要

A state-of-the-art study and a physical and numerical 3D finite element study of aniso-tropic conduction through composites filled with isometric inclusions of different conductivity were performed by modeling the longitudinal conduction across a tetragonal lattice of spheres in imperfect contact with the surrounding matrix. In dimensionless variables, the effective conductivity E is expressible as a function of a geometrical parameter B, reflecting the relative thickness of the gap between spheres, the Kapitza resistance C of the contact inclusion/matrix, and the relative resistivity D of the filler. The computation of some 600 E values at some 25 levels of the factors B, C, and D allows one to find some features, such as the leading role of the factor whose value is the highest of three, the low effect of the interactions between factors, the imperfect equivalence of the effects of the three factors, the slow and linear E dependence on the second and third greatest factor, and finally, the asymptotically exact linear relationship between E and the logarithmated sum of factors, with a slope depending only slightly on the relative magnitudes of factors.
机译：通过模拟与球体不完全接触的球的四边形格子上的纵向传导，对通过不同电导率的等距夹杂物填充的复合材料进行各向异性传导的最新研究以及物理和数值3D有限元研究。周围的矩阵。在无量纲变量中，有效电导率E可表示为几何参数B的函数，反映了球之间间隙的相对厚度，接触夹杂物/基体的Kapitza电阻C和填料的相对电阻率D。在因子B，C和D的大约25个水平上计算大约600个E值，可以发现一些特征，例如，值最高的三个因子的主导作用，相互作用之间的低影响因子，三个因子的影响的不完全等价，缓慢而线性的E对第二和第三最大因子的依赖性以及最后，E与因子的对数和之间的渐近精确线性关系，其斜率仅略微取决于关于因素的相对大小。

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