Abstract
We consider the problem of exactly determining the effective thermal conductivity, σeff, 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 ≥ 0 such that C = 0 corresponds to the usual perfect interface case. An approximate formula for the effective conductivity, σeff, compares favourably with our results for a wide range of sphere volume fractions, phase conductivity ratios, and values of the interfacial strength C .
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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