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Título del libro: 2018 Joint Thermophysics And Heat Transfer Conference
Título del capítulo: Numerical calculation of the effective thermal conductivity of three-dimensional three-scale microstructures

Autores UNAM:
JULIAN BRAVO CASTILLERO;

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Autores externos:

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Idioma:
Inglés

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Año de publicación:
2018

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Palabras clave:

Finite element method; Heat conduction; Homogenization method; Microstructure; Effective conductivity; Effective thermal conductivity; Face centered cubic arrays; Multi-scale composites; Multi-scale microstructure; Numerical calculation; Reiterated homogenization; Theoretical framework; Thermal conductivity

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Resumen:

In the present work the effective thermal conductivity of multiscale composite media with 3-D microstructures is determined based on the method of reiterated homogenization and the finite element method. Conventional homogenization has been successfully applied to thermal problems in two-scale media. On the other hand, reiterated homogenization has been applied mainly to formulate problems in heterogeneous media with more than two scales, rather than to calculate effective properties. Here, specifically, the finite element method is employed in conjunction with the appropriate reiterated homogenization expressions, to calculate the effective conductivities of the 3-D three-scale body-centered and face-centered cubic arrays of spheres. At this stage, the instance with a perfect thermal contact at the interface is considered. The results for the effective thermal conductivity gains of the three-scale arrays relative to the two-scale counterparts are given in terms of the problem volume fractions and phase contrast. Within the parameter ranges considered, it is verified that gains in excess of 20% are achieved with the three-scale body-centered and face-centered arrays. Reiterated homogenization is seen to provide a sound theoretical framework to help explain observed enhanced heat conduction in media with multiscale microstructures. © 2018 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

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Entidades citadas de la UNAM:

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Fuente:


ISBN:
9781624105524
Editorial:
[publishername] American Institute of Aeronautics and Astronautics Inc, AIAA

Tipo de producto:
Conference Paper

DOI:
10.2514/6.2018-3587