• 作者： Wang, Maw-Ling; Cheau, Tei-Chih
• 中文摘要： 本文乃探討具各異熱傳導係數之基質和粒子相所組成多相複合材料之實質熱傳導係數之數值估計, 其實質熱傳導係數乃由已經致使用過之三種方法, 分別加以延伸經運算估計而得。第一種方法即為相對等虛擬體積分率, 原先被用於估計具彈性介質之模數, 而本文乃經延伸用於多相複合物之實質熱傳導係數之估計, 在運算過程中, 對於粒子相濃度並無任何設限。同時, 在文中討論虛擬體分率之物理意義。另外, 藉箸修飾 Ben-vensite之方法, 考慮在一個含有粒子相及基質相之細胞膜室中具有相等基質之區分之修飾而成為第二種方法, 此經修飾之第二種方法可以使在計算中加快收斂, 同時, 擴大計算機構, 由第一、二種方法計算結果顯示並無很明顯之差異。而基於”再正規化之技術”, 而第三種方法乃在本文中被倡議用以考慮粒子相濃度之高階效應, 此種估計對於考慮粒子相高階濃度具有實質意義與重要性。
• 英文摘要： Numerical calculation is carried out to estimate the effective thermal conductivity of a multiphase composite with different values of thermal conductivities of matrix and particulate phases. Three developed methods are extended to estimate the effective thermal conductivity of a multiphase composite. The first method of the equivalent virtual volume fraction, which was originally used to calculate the modulus in an elastic medium, is extended to evaluate the effective thermal conductivity of a multiphase composite without any constraint in the range of particulate concentration. A physical sense of the virtual volume fraction is identified. By modifying the method of Benvensite, a method II is extended by considering an equal partition of matrix in each cell composed of a particulate phase and a matrix shell. This revised form provides a fast convergent calculation and enlarges the calculation framework. The results estimated from methods I and II show no significant difference. Furthermore, method III which is based on the "renormalization technique", is proposed in order to count the higher orders effects of a particulate concentration. This estimation highlights the importance of coupling concentrations from high orders volume fraction of particles.
• 中文關鍵字： 有效熱傳導係數; 多相組成; 任意結構; 數值計算
• 英文關鍵字： Effective Thermal Conductivity; Multiphase Composite; Random Structure; Numerical Calculation