含湿非饱和多孔介质的完全分形传热研究

为了探究在含湿情况下多孔介质有效导热率的变化，基于分形理论，考虑多孔介质在含湿时加热过程中相变的影响，结合加热过程中的热量守恒方程和傅里叶导热定律推导出计算有效导热率的新公式。将该模型相关数据代入进行计算，分析了孔隙率、含湿率、面积分形维数和迂曲分形维数对有效导热率的影响。研究发现，孔隙率与有效导热率呈负相关，含湿率与有效导热率呈正相关，分形维数与有效导热率呈负相关。该研究能够反映多孔介质内的传热进程，对于探究微孔结构物质的传热具有一定的指导意义。

Study on complete fractal heat transfer in unsaturated wet porous media

With the consideration of phase change of moisture in the porous media during heating process, new calculation formula of effective thermal conductivity was deduced basing on heat conservation, Fourier heat conduction law, and fractal theory to explore the changes of effective thermal conductivity under wet condition. Effects of porosity, moisture content, surface fractal dimension and tortuous fractal dimension on effective thermal conductivity were analyzed. It is found that porosity and fractal dimension are negatively correlated with effective thermal conductivity, while moisture content shows positive correlation. This study can be used for heat transfer of microporous materials and can reflect the heat transfer process in porous media.