Effective conductivity of dispersions of spheres with a superconducting interface

H. Cheng; S. Torquato

doi:10.1098/rspa.1997.0073

Effective conductivity of dispersions of spheres with a superconducting interface

H. Cheng, S. Torquato

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Abstract

We consider the problem of exactly determining the effective thermal conductivity, σ^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 (7-40 such that C -0 corresponds to the usual perfect interface case. An approximate formula for the effective conductivity, creff, compares favourably with our results for a wide range of sphere volume fractions, phase conductivity ratios, and values of the interfacial strength C.

Original language	English (US)
Pages (from-to)	1331-1344
Number of pages	14
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	453
Issue number	1961
DOIs	https://doi.org/10.1098/rspa.1997.0073
State	Published - 1997

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)
Physics and Astronomy(all)

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10.1098/rspa.1997.0073

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year = "1997",

doi = "10.1098/rspa.1997.0073",

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AU - Torquato, S.

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AB - 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 (7-40 such that C -0 corresponds to the usual perfect interface case. An approximate formula for the effective conductivity, creff, 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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Effective conductivity of dispersions of spheres with a superconducting interface

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