分形多孔介质中的热传导  

Heat Conduction in Fractal Porous Media

作　　者：张东辉[1] 金峰[2] 施明恒[1] 杨浩[2] 

机构地区：[1]东南大学动力工程系,江苏南京210096 [2]中国科学院南京土壤研究所,江苏南京210008

出　　处：《应用科学学报》2003年第3期253-257,共5页Journal of Applied Sciences

基　　金：国家重点基础研究发展规划资助项目(G2000026303)

摘　　要：采用有限容积法分析了分形多孔介质中的热传导过程,计算中发现分形结构中的导热规律非常复杂,基质与孔隙之间存在着很强的相互换热,当不考虑孔隙气体中的导热时,所构造的随机Sierpinski地毯上导热率与基质率(基质百分含量)大多呈指数关系,这与Archie定律的结果是一致的.In this paper, heat conduction in fractal porous media is analysed and sirnulated by means of the finite volume method. Fractal porous media can be simplified as a kind of binary mix-ture with different thermal conductivities. The calculated results show that heat transfer in fractal porous media is very complicated. Thermal coupling effects between matrix and pore structure are studied. When heat transfer in pore structure is neglected, the effective thermal conductivity in random Sierpinski carpet is shown as the index of matrix, which is in agreetment with Archie's law. All these results are helpful to the understanding heat of transfer mechanism in porous media.

关 键 词：分形多孔介质 热传导 有限容积法 分形结构 导热规律 导热率 Archie定律 

分 类 号：TK124[动力工程及工程热物理—工程热物理]