Heat Conduction in Composites with Superconducting Matrix-Inclusion Interfaces

在含有超導材料介面之複合材料中之熱傳導

呂世源(Shih-Yuan Lu)

《Journal of the Chinese Institute of Chemical Engineers》 34卷1期 (2003/01) Pp. 143-150

https://doi.org/10.6967/JCICE.200301.0143

摘要

本文探討具超導介面之同向長纖維陣列之有效導熱度，共討論了兩種最常見之二維陣列：矩形及六角形陣列。吾人發現一無因次之雙極極化度參數可用於描述整體介面性質，此參數為一無因次介面傳導參數，C，與導熱度比，α，之簡單函數，其大小介於-1與1間。複合材料之正規化有效導熱度可視為此雙極極化度與纖維體積分率之函數。吾人發現此雙極極化度是一共通參數，亦可應用於具完美接觸與具接觸熱阻介面之複合材料之有效導熱度問題中，只是此參數之表示式在三個問題中皆不同。由此，吾人可建構一普遍適用之有效導熱度之等位線圖於雙極極化度對纖維體積分率之數域中。吾人亦發現一臨界因次介面傳導參數(=1-α)，於此條件下，纖維之加入對有效導熱度無增損。0

並列摘要

The effective conductivities of regular arrays of aligned long fibers possessive of superconducting interfaces are studied. Two most common two-dimensional arrays are investigated: square and hexagonal arrays. A dimensionless quantity, termed the dipole polarizability, which is a simple function of a dimensionless interfacial conductance parameter, C, and the normalized conductivity of the fiber, α, and ranges from –1 to 1, is identified to characterize the overall interfacial properties. The normalized effective conductivity of the composite can be viewed as a function of the dipole polarizability and the volume fraction of the fiber. The dipole polarizability is found to be a unified parameter applying equally well to effective conductivity problems with the matrix-fiber interface in perfect contact or possessive of an interfacial resistance, only that the expression for the dipole polarizability is different for the different problem. A universal contour plot in the dipole polarizability vs. fiber volume fraction domain is constructed for the normalized effective conductivity of the composite. A critical C (=1-α) is identified, at which the overall conductivity effect of the fiber is neutral.

並列關鍵字

Effective conductivity ； Superconducting interface ； Periodic array ； Composite ； Long fiber