Thermal resistance-based bounds for the effective conductivity of composite thermal interface materials

P. Karayacoubian, M. Yovanovich, J. Culham
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引用次数: 28

Abstract

Thermally enhanced greases made of dispersions of small conductive particles suspended in fluidic polymers can offer significant advantages when used as a thermal interface material (TIM) in microelectronics cooling applications. The following study presents the application of two simple theorems for establishing bounds on the effective thermal conductivity of such inhomogeneous media. An upper bound is established when isotherms are assumed perpendicular to the direction of heat flow through the material. In a similar manner, a lower bound is established when adiabats are assumed parallel to the direction of heat flow. As an example of the application of these theorems, the TIM is assumed to be composed of a cubic array of uniform spheres in a surrounding medium. In most instances, a geometric mean of the bounding solutions determined for this case gives good agreement with experimental data available in the literature. Numerical simulations of a spherical particle in a unit cube cell confirm the validity of the model. This model is not applicable to systems in which the discontinuous phase is either well-connected throughout or has settled. The potential of extending this preliminary thermal resistance-based approach to investigate other geometries and effects associated with distribution, orientation, and boundary resistance is discussed
复合热界面材料有效导电性的热阻边界
由悬浮在流体聚合物中的小导电颗粒分散体制成的热增强润滑脂在微电子冷却应用中用作热界面材料(TIM)时具有显着的优势。下面的研究提出了应用两个简单定理来建立这种非均匀介质的有效导热系数的边界。当假设等温线垂直于热流穿过材料的方向时,就建立了一个上限。以类似的方式,当假定绝热体与热流方向平行时,可以建立一个下界。作为这些定理应用的一个例子,假设TIM是由周围介质中的均匀球体组成的立方阵列。在大多数情况下,为这种情况确定的边界解的几何平均值与文献中可用的实验数据很好地一致。对单位立方胞内球形颗粒的数值模拟验证了该模型的有效性。该模型不适用于不连续相位连接良好或已稳定的系统。讨论了将这种基于热阻的初步方法扩展到与分布、方向和边界电阻相关的其他几何形状和效应的潜力
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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