The effect of structure on the conductivity of a dispersion

Y. C. Chiew; E. D. Glandt

doi:10.1016/0021-9797(83)90238-2

The effect of structure on the conductivity of a dispersion

Y. C. Chiew, E. D. Glandt

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141 Scopus citations

Abstract

The equilibrium hard-sphere fluid is used to model the structure of dispersions of identical impenetrable spheres within a matrix. Pair-correlation functions adjusted to Monte Carlo simulation results, and reported in the literature, are used to compute the contribution of pairs of spheres to the effective thermal (or electrical) conductivity of the dispersions. An improved form of Maxwell's equation is proposed, which is correct to order φ², where φ is the volume fraction of the dispersed phase. A comparison with experimental measurements shows good agreement over a wide range of conditions. The approach fails for highly concentrated dispersions of very conducting spheres. Alternative models are discussed which are appropriate in this limit.

Original language	English (US)
Pages (from-to)	90-104
Number of pages	15
Journal	Journal of Colloid And Interface Science
Volume	94
Issue number	1
DOIs	https://doi.org/10.1016/0021-9797(83)90238-2
State	Published - Jul 1983
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Biomaterials
Surfaces, Coatings and Films
Colloid and Surface Chemistry

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10.1016/0021-9797(83)90238-2

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AB - The equilibrium hard-sphere fluid is used to model the structure of dispersions of identical impenetrable spheres within a matrix. Pair-correlation functions adjusted to Monte Carlo simulation results, and reported in the literature, are used to compute the contribution of pairs of spheres to the effective thermal (or electrical) conductivity of the dispersions. An improved form of Maxwell's equation is proposed, which is correct to order φ2, where φ is the volume fraction of the dispersed phase. A comparison with experimental measurements shows good agreement over a wide range of conditions. The approach fails for highly concentrated dispersions of very conducting spheres. Alternative models are discussed which are appropriate in this limit.

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The effect of structure on the conductivity of a dispersion

Abstract

All Science Journal Classification (ASJC) codes

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