The objective of this study is to re-examine the classical parallel and classical series models of the effective thermal conductivity of porous media and review the underlying assumptions used to develop these asymptotic models. The Langmuir shape factor concept is introduced to gain insight into these classical models and add extra degrees of freedom to formulate semi-empirical correlations for the effective thermal conductivity based on the parallel, series, and combination of parallel and series heat flow configurations. The analytical models reveal the average areas of the heat flow as potential targets for curve fitting equations with fitting parameters. Experimental data for sintered porous copper were used to calibrate the theoretical models. Correlations for the effective thermal conductivity, Langmuir shape factors, average heat conduction areas, and the average lengths of the heat transfer pathway of the two phases as functions of porosity were obtained and compared graphically.

这项研究的目的是重新检查多孔介质有效热导率的经典并行模型和经典序列模型，并回顾用于开发这些渐近模型的基本假设。引入Langmuir形状因数概念是为了深入了解这些经典模型，并增加额外的自由度，以基于并行，串联以及并联和串联热流配置，为有效导热系数制定半经验相关性。分析模型揭示了热流的平均面积，作为具有拟合参数的曲线拟合方程的潜在目标。烧结多孔铜的实验数据用于校准理论模型。有效导热系数，Langmuir形状因子，