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机构地区:[1]武汉科技大学,耐火材料与高温陶瓷国家重点实验室培育基地,武汉430081
出 处:《硅酸盐学报》2012年第9期1369-1375,共7页Journal of The Chinese Ceramic Society
基 金:国家“973”计划前期研究专项(2012CB722702);湖北省自然科学基金重点项目(2010CDA028);国家自然科学基金(50774057)资助项目
摘 要:根据Sierpinski地毯模型和分形几何的基本概念,推导了多孔隔热耐火材料中孔径分布的分形模型,借助于该模型并结合图像分析技术研究了漂珠多孔隔热耐火材料气孔孔径分布的分形特征,并分析了不同气孔孔径区间与热导率的相关性。结果表明:漂珠多孔隔热耐火材料中气孔孔径分布的均匀程度可用孔径分布分形维数的大小定量表征,分形维数越大,气孔孔径分布越不均匀,反之亦然。研究发现,漂珠多孔隔热耐火材料气孔孔径分布具有双重分形特征,并可由以下2个参数确定:大孔区间的分形维数(1.7~1.9)和小孔区间的分形维数(1.9~2.0)。不同孔径区间与热导率的灰色关联分析表明,孔径<150 m范围内的气孔与热导率的关联度最大。A fractal model of pore size distribution was proposed based on the Sierpinski carpet model and the fundamental concepts of fractal geometry. The fractal characteristics of pore size distribution for porous insulating refractories were investigated by the model and an image analysis technique. The correlation of pore size distribution with thermal conductivity of cenosphere porous insulating refracto- ries was analyzed. The results show that the uniformity of pore size distribution could be characterized by its fractal dimension quantita- tively. The larger fractal dimension of pore size distribution, the more inhomogeneous of the pore size distribution would be, and vice versa. It was also found that the pore size distribution of cenosphere porous insulating refractory bricks exhibited dual fractal characteris- tics, which could be determined by two classified parameters, i.e., one fractal dimension for the large pore size interval (1.7-1.9) and another for the small pore size interval (1.9-2.0). Based on the grey relation theory, the correlation of pore size interval with thermal con- ductivity indicated that the pore size interval of 〈 150 μm had the greatest correlation index.
关 键 词:图像分析技术 多孔隔热耐火材料 孔径分布 分形维数 热导率
分 类 号:TQ175.1[化学工程—硅酸盐工业]
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