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Effective thermal conductivity of composite spheres in a continuous medium with contact resistance

机译:具有接触电阻的连续介质中复合球体的有效导热系数

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The self-consistent field concept is extended to the determination of the effective thermal conductivity of mixtures containing composite spheres randomly distributed in a continuous medium. Contact resistance is allowed for at the interface between the spheres and the continuous phase. A simple, yet exact, analytical solution is derived by first determining the temperature distribution for particle/continuous phase spheres as they are surrounded by an extensive effective medium. Special cases of the general solution are developed which correspond to various types of ideal particle/ continuum behaviors. One category-perfect contact with negligible core gas heat conduction-is a useful model for many syntactic foams. Under these conditions, it is shown that the ratio of the effective conductivity of the medium to the conductivity of the continuous phase depends on a single parameter. The 'critical value' of this parameter is determined for which this ratio is unity. The result is consistent with prior studies of critical conditions in composite media.
机译:自洽场概念扩展到确定包含随机分布在连续介质中的复合球体的混合物的有效导热系数。球形和连续相之间的界面处允许有接触电阻。通过首先确定颗粒/连续相球被广泛有效介质包围的温度分布,可以得出一种简单而精确的分析解决方案。提出了一般解决方案的特殊情况,这些情况对应于各种类型的理想粒子/连续体行为。一类完美的核心气体导热可以忽略不计的接触是许多句法泡沫的有用模型。在这些条件下,显示出介质的有效电导率与连续相的电导率之比取决于单个参数。确定该参数的“临界值”,该比率的比例为1。该结果与复合介质中关键条件的先前研究一致。

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