Effective conductivity of dispersions of spheres with a superconducting interface

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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 (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 languageEnglish (US)
Pages (from-to)1331-1344
Number of pages14
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume453
Issue number1961
DOIs
StatePublished - Jan 1 1997

All Science Journal Classification (ASJC) codes

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

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