基于分形理论研究钢包底吹过程夹杂物的分形维数  

Fractal Dimension of Inclusion in Ladle Bottom Blowing Process Based on Fractal Theory

作　　者：巨建涛[1] 安家良 刘文果 王静[1] 棘广恒 JU Jiantao;AN Jialiang;LIU Wenguo;WANG Jing;JI Guangheng(School of Metallurgical Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, China)

机构地区：[1]西安建筑科技大学冶金工程学院

出　　处：《铸造技术》2019年第5期504-509,共6页Foundry Technology

基　　金：国家自然科学基金资助项目(51574190)

摘　　要：依据相似理论,以LF精炼炉为研究对象,在不同时间节点拍照,采用图像分析软件(Iamge Pro-Plus)、Matlab软件和分形理论中计盒维数法,对液相中的不规则单颗粒及团聚体的分形维数进行计算,研究了不同流量下夹杂物粒子实际上浮速度与粒子边缘分形维数的关系。结果表明,盒维数求斜率法均可精确地求出夹杂物的分形维数,夹杂物的形貌越复杂,分形维数越大;增加吹气量,有利于夹杂物的碰撞团聚,使团聚体的分形维数变大;夹杂物的分形维数与实际上浮速度呈正相关,这与采用分形维数和动力直径计算的理论值基本一致,说明该方法是准确可行的。Based on the similarity theory and LF refining furnace as the research object, taking pictures at different time points and using professional image analysis software (Iamge Pro- Plus), Matlab and the method of the box dimension, the fractal dimension of single particles and aggregates were calculated. The relationship between floating velocity of the actual inclusion and particle edge fractal dimension under different flow rates were studied. The results show that the fractal dimension of inclusion can be accurately calculated by the method of box dimension, the more complex the morphology of inclusion, the larger the fractal dimension. The more complex the morphology of inclusion, the fractal dimension is more the larger. The increase of blowing volume is beneficial to the collision of inclusions and makes the fractal dimension of the aggregates larger. The fractal dimension of inclusion is positively correlated with the actual floating velocity, which is basically consistent with the theoretical value calculated by fractal dimension and dynamic diameter, which indicate that this method is accurate and feasible.

关 键 词：分形理论 盒维数法 夹杂物 分形维数 上浮速度 

分 类 号：TF741[冶金工程—钢铁冶金]