Effective conductivity of dispersions of spheres with a superconducting interface

被引：50

作者：

Cheng, H ^{[1
]}

Torquato, S ^{[1
]}

机构：

[1] PRINCETON UNIV, PRINCETON MAT INST, PRINCETON, NJ 08544 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 453卷 / 1961期

关键词：

D O I：

10.1098/rspa.1997.0073

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider the problem of exactly determining the effective thermal conductivity, sigma(eff), of a composite material consisting of periodic or random arrays of spheres which possess superconducting interfaces. This requires the solution of the local temperature field in which there is a jump in the normal component of the heat flux across the sphere-matrix interface. The strength of this interface is characterized by a dimensionless parameter C greater than or equal to 0 such that C = 0 corresponds to the usual perfect interface case. An approximate formula for the effective conductivity, sigma(eff), compares favourably with our results for a wide range of sphere volume fractions, phase conductivity ratios, and values of the interfacial strength C.

引用

页码：1331 / 1344

页数：14

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