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Effective conductivity for densely packed highly conducting cylinders

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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 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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Authors and Affiliations

  1. Institute of Fundamental Technological Research, Świetokrzyska 21, 00-049, Warsaw, Poland

    S. Tokarzewski & J. Bławzdziewicz

  2. Civil Engineering Institute, Chernishevskogo 24a, 320050, Dnepropetrovsk, Ukraine

    I. Andrianov

Authors
  1. S. Tokarzewski
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  2. J. Bławzdziewicz
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  3. I. Andrianov
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Tokarzewski, S., Bławzdziewicz, J. & Andrianov, I. Effective conductivity for densely packed highly conducting cylinders. Appl. Phys. A 59, 601–604 (1994). https://doi.org/10.1007/BF00331919

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  • DOI: https://doi.org/10.1007/BF00331919

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