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 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 | |
State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Engineering(all)
- Physics and Astronomy(all)