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1990

Effective conductivity or diffusivity in inhomogeneous media

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Full-Text Articles in Chemical Engineering

Conductivity Of N-Dimensional Composites Containing Hyperspherical Inclusion, Ashok S. Sangani Jan 1990

Conductivity Of N-Dimensional Composites Containing Hyperspherical Inclusion, Ashok S. Sangani

Ashok S. Sangani

A problem of determining the macroscopic or effective thermal conductivity of an N-dimensional composite medium containing N-dimensional nonoverlapping hyperspherical inclusions is considered. Since the macroscopic conductivity is expected to become less sensitive to the detailed spatial distribution of the inclusions for N ≥ 4, only the special case of periodic arrangement of the inclusions is considered. An expression for the macroscopic conductivity correct to O(χ3N + 8), χ being the ratio of "diameter" of the inclusions to the spacing between them, is derived and the numerical results for the conductivity are presented as a function of χ and N for …


Conductivity Of N-Dimensional Composites Containing Hyperspherical Inclusion, Ashok S. Sangani Jan 1990

Conductivity Of N-Dimensional Composites Containing Hyperspherical Inclusion, Ashok S. Sangani

Biomedical and Chemical Engineering - All Scholarship

A problem of determining the macroscopic or effective thermal conductivity of an N-dimensional composite medium containing N-dimensional nonoverlapping hyperspherical inclusions is considered. Since the macroscopic conductivity is expected to become less sensitive to the detailed spatial distribution of the inclusions for N ≥ 4, only the special case of periodic arrangement of the inclusions is considered. An expression for the macroscopic conductivity correct to O(χ3N + 8), χ being the ratio of "diameter" of the inclusions to the spacing between them, is derived and the numerical results for the conductivity are presented as a function of χ and N for …