Volume 78, Number 4, May 2007
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||07 May 2007|
Thermal modeling of two-dimensional periodic fractal patterns, an application to nanoporous media
Université Paul Sabatier, Laboratoire Physique de l'Homme Appliquée à Son Environnement, Bâtiment 3R1 118 route de Narbonne, 31062 Toulouse Cedex 9, France
2 Institut National des Sciences Appliquées de Toulouse - 135 av. de Rangueil, 31077 Toulouse Cedex 4, France
Corresponding author: email@example.com
Accepted: 11 April 2007
Periodic patterns built with elementary Von Koch snowflakes have been found to be a good structural representation of nanoporous media (like monolithic silica aerogels) concerning the characterization of heat conduction. These geometries allow the modeling of different pore sizes, fractality and isotropy of the complex structure. A numerical model has been used to determine the effective thermal conductivity as a function of two parameters: density and tortuosity. The results —which match with an analytical model presented in the literature— are compared to simple periodic and random fractal geometries.
PACS: 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 65.90.+i – Other topics in thermal properties of condensed matter / 61.43.Gt – Powders, porous materials
© Europhysics Letters Association, 2007
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