| 基于分形特性PIM成形坯导热率的计算 |
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| 引用本文： | 郑洲顺,邹娜娜,文娟,邴磊.基于分形特性PIM成形坯导热率的计算[J].华中师范大学学报(自然科学版),2009,43(4). |
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| 作者姓名： | 郑洲顺 邹娜娜 文娟 邴磊 |
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| 作者单位： | 1. 中南大学数学科学与计算技术学院,长沙,410083
2. 武汉大学资源与环境科学学院,武汉,430079 |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展规划(973计划)，湖南省科技计划项目，中南大学博士后科学基金，中南大学研究生创新项目 |
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| 摘 要： | 分析了粉末注射成形坯的分形特性,给出了其剖面颗粒面积分形维数的一般计算方法;利用剖面颗粒表面分形维数,计算了粉末注射成形坯剖面颗粒的各向异性局部面积占有率.进而基于多孔介质导热率的分形模型,推导出了粉未颗粒和粘结剂串并联及无量纲时的粉末注射成形坯各向异性有效导热率的计算公式,并以铁粉成形坯为例分析了有效导热率与剖面颗粒分形维数的关系.结果表明粉末注射成形坯的导热率随着分形维数的增加而增大.
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| 关 键 词： | 粉末注射成形坯 分形维数 多孔介质 各向异性 有效导热率 |
Computation of thermal conductivity of pre-sintering in PIM based on fractal characteristic |
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| ZHENG Zhoushun,ZOU Nan,WEN Juan,BING Lei.Computation of thermal conductivity of pre-sintering in PIM based on fractal characteristic[J].Journal of Central China Normal University(Natural Sciences),2009,43(4). |
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| Authors: | ZHENG Zhoushun ZOU Nan WEN Juan BING Lei |
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| Abstract: | By analyzing the fractal characteristic of pre-sintering in PIM, algorithm of fractal dimension of its section particle area is presented and anisotropic local area share of section particle in pre-sintering with fractal dimension is counted. Then, based on fractal model of thermal conductivity in porous media, the anisotropic effective thermal conductivity of pre-sintering and its dimensionless one are calculated, when powder and binder are in series or parallel. Thus, take Fe pre-sintering for example, the analysis results show that the effective thermal conductivity is enlarged with the increase of fractal dimension. |
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| Keywords: | pre-sintering fractal dimension porous media anisotropy thermal conductivity |
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