基于分形维数的液体爆炸分散中界面破碎形态研究  

Interface Breaking in Process of Explosive Dispersal on Liquids Based on the Fractional Dimension

作　　者：董玉才[1] 李磊[2] 杨万利[1] 朱建华[3] 任晓冰[2] 严晓芳[2] 

机构地区：[1]装甲兵工程学院非线性研究所,北京100072 [2]清华大学,北京100084 [3]军械工程学院,石家庄050003

出　　处：《数学的实践与认识》2007年第22期66-70,共5页Mathematics in Practice and Theory

摘　　要：通过对爆炸抛撒图象的处理,得到液体界面的曲线.采用盒维数的计算方式,计算界面曲线的分形维数.通过对各时刻液体界面分形维数的变化研究,分析爆炸抛撒近场阶段的变化过程,同时观察到蘑菇状尖顶的出现与破碎,以及空化区域的形成和消失现象。The curve of explosion interface is got by dealing with the images of explosive dispersal on liquids. Fractal dimension of the interface curve is calculated by box dimension method. By studying the changes of fractal dimension of liquid interface at each time, the nearfield process of explosive dispersal on liquids is analyzed, appearing and breaking of bubble is observed, forming and disappearing of cavitate area is observed at the same time.

关 键 词：爆炸抛撒 界面曲线 分形 盒维数 

分 类 号：O389[理学—流体力学]