应用科学学报 ›› 2000, Vol. 18 ›› Issue (3): 263-266.

• 论文 • 上一篇    下一篇

应用分形理论的实际多孔介质有效导热系数的研究

陈永平, 施明恒   

  1. 东南大学动力工程系, 南京 210018
  • 收稿日期:1998-12-24 修回日期:1999-11-11 出版日期:2000-09-30 发布日期:2000-09-30
  • 作者简介:陈永平(1974-),男,江苏常州人,博士;施明恒(1939-),男,江苏常熟人,教授,博导.
  • 基金资助:
    国家自然科学基金资助项目(59736130)

Study on Effective Thermal Conductivity of Real Porous Media by Using Fractal Theory

CHEN Yong-ping, SHI Ming-heng   

  1. Department of Power Engineering, Southeast University, Nanjing 210018, China
  • Received:1998-12-24 Revised:1999-11-11 Online:2000-09-30 Published:2000-09-30

摘要: 根据分形理论,利用实际多孔介质剖面图,对典型土壤的几何结构进行了描述,计算出了多孔介质的剖面面积分布分形维数d,得到了分形固含率,获得了固含率与多孔介质颗粒排布及度量尺度之间的关系,由此,建立了实际多孔介质的导热模型,推导出了多孔介质的有效导热系数。

关键词: 多孔介质, 分形, 导热系数

Abstract: On the basis of fractal theory and by means of the section view of porous media,the geometric structure of real soil was described with its section view and section particle area fractal dimension d of porous media was counted. The volumetric solid content and the relation between volumetric solid content and porous media particle arrangements as well as measure scale were obtained. A heat conduction model was thus established and the effective thermal conductivity of real soil based on the volumetric solid content was calculated.

Key words: thermal conductivity, porous media, fractal

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