基于分形理论的建陶坯体有效导热系数研究  

RESEARCH ON BUILDING CERAMICS’ EFFECTIVE THERMAL CONDUCTIVITY BASED ON FRACTALS THEORY

作　　者：蒋方乐[1] 吴白云[1] 沈超群[1] 

机构地区：[1]景德镇陶瓷学院,景德镇333403

出　　处：《中国陶瓷》2010年第12期42-45,共4页China Ceramics

摘　　要：采用计盒算法计算了坯体的盒维数。以长度为测度尺度,通过简化假设模型,采用热阻法推导了建陶坯体有效导热系数的数学表达式,发现其导热系数与使用的测度尺度、坯体内固相导热系数及气液混合相导热系数相关。其中测度尺度对计算结果的影响较大,实测坯体不同排水率、不同温度下的导热系数后发现,测度尺度选择20μm较适合。计算表明坯体的有效导热系数随温度线性增加,随排水率的增加而减小,且呈2次关系。The building ceramics＇ box dimension is computed by box-counting algorithm. When length is the measurement scale, the thermal conductivity＇ s mathematical expression has been derived by thermal resistance method on the simplified hypothetical model. It＇ s found that the thermal conductivity is correlative to the measurement scale and the thermal conductivities of solid and the gas-liquid mixture in building bodies. The scale is to have a more obvious impact on it. After looking into experimental results relate to different temperatures and different moisture elimination rates, 20 μ m is an appropriate measurement scale. The effective thermal conductivity shows a linear relationship with temperature and a quadratic relationship with moisture elimination rate. As the temperature increases, the effective thermal conductivity increases, and it reduces as the moisture elimination rate decreases.

关 键 词：建陶坯体 分形 有效导热系数 测度尺度 

分 类 号：TQ174.769[化学工程—陶瓷工业]