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霜层生长初期冰晶体结构实验研究及分形分析

侯普秀;蔡亮;虞维平   

  1. 东南大学 动力系,江苏 南京 210096
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-03-20 发布日期:2007-03-20

Experimental Study and Fractal Analysis of Ice Crystal Structure at Initial Period of Frost Formation

HOU Pu xiu;CAI Liang;YU Wei ping   

  1. Department of Power Engineering, Southeast University, Nanjing 210096, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-03-20 Published:2007-03-20

摘要: 通过自行研制的图像放大及采集系统,对霜层生长初期冰晶体的形态进行了显微观测,得到了不同生长条件下冰晶体的图像.随后采用数字图像处理的方法,将原图像转换为二值图,并使用计盒维数的方法对图像进行了分形分析.结果表明,充分发展的树枝状冰晶体在一定的尺度范围内具有分形特征,并求得其分形维数;而尚未充分生长的冰晶体则不具有分形特征.最后讨论了分形维数在研究霜层生长过程中的意义,为建立更加符合实际情况的霜层生长模型提供了基础.

关键词: 结霜, 分形, 冰晶体, 计盒维数

Abstract: Using a system of image magnification and acquisition, we observed and collected pictures of ice crystal in various shapes under different growth conditions. The original pictures were converted into binary images, and fractal analysis was performed with the box counting dimension. The results show that the dentritic ice crystal has a fractal structure, and the fractal dimension can be obtained. However ice crystals that are not fully developed do not have a fractal structure. The meaning of fractal dimension is discussed. This study provides a basis for a frost growth model that is close to reality.

Key words: frost formation, fractal, ice crystal, box counting dimension