基于分形理论研究钢包底吹过程夹杂物的分形维数

详细信息    查看全文 | 推荐本文 |

英文篇名：Fractal Dimension of Inclusion in Ladle Bottom Blowing Process Based on Fractal Theory 作者：巨建涛 ; 安家良 ; 刘文果 ; 王静 ; 棘广恒 英文作者：JU Jiantao;AN Jialiang;LIU Wenguo;WANG Jing;JI Guangheng;School of Metallurgical Engineering, Xi'an University of Architecture and Technology; 关键词：分形理论 ; 盒维数法 ; 夹杂物 ; 分形维数 ; 上浮速度 英文关键词：fractal theory;;box dimension method;;inclusion;;fractal dimension;;floatation velocity 中文刊名：ZZJS 英文刊名：Foundry Technology 机构：西安建筑科技大学冶金工程学院; 出版日期：2019-05-18 出版单位：铸造技术 年：2019 期：v.40;No.326 基金：国家自然科学基金资助项目(51574190) 语种：中文; 页：ZZJS201905031 页数：6 CN：05 ISSN：61-1134/TG 分类号：94-99

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.

引文

[1]Miki Y,Thomas B G.Modeling of Inclusion Removal in a Tundish[J].Metallurgical and Material Transactions B,1999,30(4):639-648.
    [2]Li H,Wang XH.Yasushi Sasaki,et al.Agglomeration Simulation of Chain-like Inclusion in.Molten Steel Based on Fractal ClusterCluster Agglomeration[J].Mater Trans,2007,48(8):2170-2173.
    [3]Yuji Miki,Brian G Thomas.Modeling of Inclusion Removal in a Tundish[J].Metal Master trans B,1999,30(4):639-654.
    [4]张济忠.分形[M].北京:清华大学出版社,2011:30-37.
    [5]王耀,李宏,郭洛方.钢液中Al2O3夹杂物颗粒布朗碰撞聚合的三维可视化数值模拟研究[J].太原理工大学学报,2014,(2):151-156.
    [6]郭洛方,李宏,王耀.钢中夹杂物形貌特征的定量描述方法及其与上浮速度的关系[J].冶金分析,2012(9):1-6.
    [7]巨建涛,王睿,折媛,等.钢包底吹氩去除钢中夹杂物的数值模拟[J].过程工程学报,2015,15(1):68-73.
    [8]李宏,温娟,张炯明,等.应用DLA模型模拟钢中夹杂物集团凝聚[J].北京科技大学学报,2006,(4):343-347.
    [9]宁林新,李宏,张炯明,等.钢中夹杂物的分形维数[J].钢铁研究学报,2005(6):59-62.
    [10]杨虎林,何平,翟玉春.气泡粘附去除钢液中夹杂物的水模拟研究[J].钢铁钒钛,2013,34(6):45-49.
    [11]Sahai Y,Emi T.Criteria for water modeling of melt flow and inclusion removal in continuous cast ing tundishes[J].ISIJInternational,1996,36(9):11-66.
    [12]岳强,张雅丽,孔辉,等.钢中非金属夹杂物图像分形维数的研究[J].安徽工业大学学报(自然科学版),2012(2):107-111.
    [13]李宏,郭洛方,潘永红,等.应用DLA模型对钢中夹杂物凝聚过程的三维模拟[J].过程工程学报,2009(S1):312-316.