Batchelor (1), in a review article, proposed a unified The effect of particle surface conditions on the effective conducframework for the very diverse field. Many problems, altivity of spherical dispersions is investigated. The spherical partithough different in appearance, possess identical mathema
Effective conductivity of dispersions: The effect of resistance at the particle surfaces
โ Scribed by Yee C. Chiew; Eduardo D. Glandt
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 906 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
โฆ Synopsis
The effective thermal or electrical conductivity of a suspension of monodisperse spherical particles embedded in a matrix of different conductivity is computed for the case when there exists a finite resistance at the particle-matrix interface. The calculation is carried out to second order in the volume fraction 4 of the particle phase for a dispersion having the structure of equilibrium hard spheres. Both the first-order (Maxwell) and the second-order approximations are found to represent experimental data reasonably well for dispersions of low to moderate concentration. To first order in 4, the calculation of the conductivity of a dispersion with surface resistance is equivalent to the calculation of the conductivity of another dispersion with no surface resistance, but with a different particle conductivity. In the case of polydisperse systems, the effective conductivity is found to be sensitive to the particle size distribution.
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