Micro-Macro Analysis of Thermal Diffusion Anisotropy and Particle Orientation in a Composite Material.

Autor: Maruyama, Yutaka, Kanematsu, Wataru
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Zdroj: International Journal of Thermophysics; Nov2015, Vol. 36 Issue 10/11, p2792-2809, 18p
Abstrakt: To clarify the effect of orientation disorder on anisotropic thermal diffusivity in a uniaxially oriented composite sample, we derive microscopic thermal diffusivities inversely from the macroscopic ones by specifying local particle orientation directions in unit segments having a size of $$l \times l \times l$$ . To solve the inverse problem, two new models based on the assumption of linearity in thermal property patterns are introduced and compared with a series resistance model. Results show that the square of an average of local microscopic diffusivity pattern radii $$\sqrt{L^*_{\phi _i(\varTheta )}}$$ reasonably describes the macroscopic thermal diffusivity $$L_{(\varTheta )}$$ : $$\left\{ 1/N\sum _i \sqrt{L^*_{\phi _i(\varTheta )}}\right\} ^2 =L_{(\varTheta )}$$ , where $$\phi _i(\varTheta )$$ is the angle between the uniaxial direction (perpendicular to plate-shaped particles) in the i-th unit segment and a direction $$\varTheta $$ measured with respect to the macroscopic particle orientation plane (parallel to particles). Microscopic thermal diffusivity $$L^*_{\phi }$$ obtained for smaller $$l\ ({\sim } 10~\upmu \hbox {m}$$ ) is consistent with the analysis of a simple geometrical model system. [ABSTRACT FROM AUTHOR]
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