Effective conductivity for densely packed highly conducting cylinders

S. Tokarzewski; J. Bławzdziewicz; I. Andrianov

doi:10.1007/BF00331919

Effective conductivity for densely packed highly conducting cylinders

S. Tokarzewski, J. Bławzdziewicz, I. Andrianov

Mechanical Engineering

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Abstract

We study the effective heat conductivity λ₃ of a periodic square array of nearly touching cylinders of conductivity h, embedded in a matrix material of conductivity 1. We construct a sequence of two-point Padé approximants for the effective conductivity. As the basis for the construction we use the coefficients of the expansions of λ_e at h=1 and h=∞. The two-point Padé approximants form a sequence of rapidly converging upper and lower bounds on the effective conductivity.

Original language	English
Pages (from-to)	601-604
Number of pages	4
Journal	Applied Physics A Solids and Surfaces
Volume	59
Issue number	6
DOIs	https://doi.org/10.1007/BF00331919
State	Published - Dec 1994

Keywords

02.00
65.40.-f
66.70.+f

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10.1007/BF00331919

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AU - Andrianov, I.

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N2 - We study the effective heat conductivity λ3 of a periodic square array of nearly touching cylinders of conductivity h, embedded in a matrix material of conductivity 1. We construct a sequence of two-point Padé approximants for the effective conductivity. As the basis for the construction we use the coefficients of the expansions of λe at h=1 and h=∞. The two-point Padé approximants form a sequence of rapidly converging upper and lower bounds on the effective conductivity.

AB - We study the effective heat conductivity λ3 of a periodic square array of nearly touching cylinders of conductivity h, embedded in a matrix material of conductivity 1. We construct a sequence of two-point Padé approximants for the effective conductivity. As the basis for the construction we use the coefficients of the expansions of λe at h=1 and h=∞. The two-point Padé approximants form a sequence of rapidly converging upper and lower bounds on the effective conductivity.

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Effective conductivity for densely packed highly conducting cylinders

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