嵌套树状分叉网络的复合材料有效热导率的分形模型

Fractal model of effective thermal conductivity for porous media embedded with fractal-like tree networks

根据分形理论和热电模拟技术,提出了嵌套树状分叉网络的复合材料有效热导率的分形模型.该模型表明复合材料有效热导率不仅与分形树状分叉网络的结构参数即分叉网络的直径比β、长度比α、分叉角θ、初级管道的长度l_0和直径d_0有关,而且还与湿相和非湿相的热导率及饱和度有关.

A fractal model of effective thermal conductivity for porous media embedded with fractal-like tree networks is presented based on fractal theory and thermal-electrical analogy technology. The fractal model contains no empirical constant. And the results show that the proposed model relates effective thermal conductivity to microstructural parameters of fractal-like tree networks, such as diameter ratio β, length ratio γ0, branch angle θ, mother branching diameter do and mother branching length l0.