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应用科学学报 ›› 2003, Vol. 21 ›› Issue (3): 253-257.

• 论文 • 上一篇    下一篇

分形多孔介质中的热传导

张东辉1,2, 金峰2, 施明恒1, 杨浩2   

  1. 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
  • 收稿日期:2002-05-17 修回日期:2002-09-13 出版日期:2003-09-10 发布日期:2003-09-10
  • 作者简介:张东辉(1970-),男,江苏丹阳人,讲师,博士生;施明恒(1939-),男,江苏常熟人,教授,博导.
  • 基金资助:
    国家重点基础研究发展规划资助项目(G2000026303)

Heat Conduction in Fractal Porous Media

ZHANG Dong-hui1,2, JIN Feng2, SHI Ming-heng1, YANG Hao2   

  1. 1 Department of Power Engineering, Southeast university, Nanjing 210096, China;
    2 Institute of Soil Science, Chinese Academy of Science, Nanjing 210008, China
  • Received:2002-05-17 Revised:2002-09-13 Online:2003-09-10 Published:2003-09-10

PDF

96

被引次数

57

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.

关键词: 分形模型, 多孔介质, 热传导

Abstract: 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.

Key words: fractal model, porous media, heat conduction

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