第36卷第4期 北京科技大学学报 Vol.36 No.4 2014年4月 Journal of University of Science and Technology Beijing Apr.2014 连铸中间包钢液中凝聚态氧化铝夹杂物运动行为的数 值模拟 王耀2》，李宏2区，郭洛方2》 1)北京科技大学钢铁治金新技术国家重点实验室，北京1000832)北京科技大学治金与生态工程学院，北京100083 ☒通信作者，E-mail:lihong(@metall..usth.edu.cn 摘要在Euler-Lagrange框架下，基于应用分形理论对凝聚态A山，O,夹杂物形貌结构进行定量分析的基础上，数值模拟研究 了连铸中间包钢液中不同形貌凝聚态AL,03夹杂物的运动行为.研究发现中间包钢液流场和夹杂物形貌尺寸共同影响夹杂 物在钢液中的运动行为，随着尺寸的变大，簇群状和致密球形两种形貌A山，0，夹杂物上浮去除率都逐渐增加.在相同尺寸下， 簇群状A山，03夹杂物上浮去除率比致密球形A山2O3夹杂物低：随着尺寸的增加，簇群状A,03夹杂物上浮去除率相比于同尺 寸致密球形A山0，夹杂物降低得就越多.计算结果显示，与同尺寸的致密球形A山0，夹杂物相比，直径为20、40、60和80μm 的簇群状A203夹杂物上浮去除率分别降低了4.8%、5.7%、6.4%和12.5%. 关键词连铸：中间包：分形维数；氧化铝：夹杂物：数值分析 分类号T℉777.1 Numerical simulation of condensed Al,O,inclusion motion behavior in liquid steel in a continuous casting tundish WANG Yao,LI Hong,GUO Luo-fang 1)State Key Laboratory of Advanced Metallurgy,University of Science and Technology Beijing,Beijing 100083,China 2)School of Metallurgical and Ecological Engineering,University of Science and Technology Beijing,Beijing 100083,China Corresponding author,E-mail:lihong@metall.ustb.edu.en ABSTRACT Under the Euler-Lagrange framework,based on the quantitative description of inclusion morphology using the fractal theory,the motion behavior of condensed Al,O,inclusions in liquid steel in a continuous casting tundish was studied by numerical sim- ulation.It is found that liquid steel flow field and inclusion morphology influence the motion behavior of Al,O inclusions in liquid steel together.With increasing inclusion size,the floating removal rate of two different morphologies of inclusions,clusterike Al,O:inclu- sions and spherical Al,O,inclusions,becomes larger gradually.At the same inclusion size,the floating removal rate of cluster-ike Al2O inclusions is lower than that of spherical Al2O inclusions.As the inclusion size increases,the floating removal rate of cluster- like Al,O,inclusions decreases more than that of spherical Al,O,inclusions with the same size.At the inclusion size of 20,40,60 and 80 um,the floating removal rate of cluster-like Al2O,inclusions decreases by 4.8%,5.7%,6.4%and 12.5%compared with spheri- cal Al,O,inclusions,respectively. KEY WORDS continuous casting:tundishes:fractal dimension:alumina;inclusions;numerical analysis 中间包是连铸过程控制钢液清洁度的关键环 合等动力学行为进行了大量的数学物理模拟研 节.为了充分利用中间包去除夹杂物，国内外众多 究).其中使用Euler-Lagrange模型将钢液流场和 学者对连铸中间包钢液中夹杂物颗粒的运动碰撞聚 夹杂物颗粒运动控制方程耦合起来，是研究钢液中 收稿日期：201301-25 基金项目：国家自然科学基金资助项目(51074020) DOI:10.13374/j.issn1001-053x.2014.04.003:http://journals.ustb.edu.cn第 36 卷 第 4 期 2014 年 4 月 北京科技大学学报 Journal of University of Science and Technology Beijing Vol． 36 No． 4 Apr． 2014 连铸中间包钢液中凝聚态氧化铝夹杂物运动行为的数 值模拟 王 耀1，2) ，李 宏1，2) ，郭洛方1，2) 1) 北京科技大学钢铁冶金新技术国家重点实验室，北京 100083 2) 北京科技大学冶金与生态工程学院，北京 100083  通信作者，E-mail: lihong@ metall． ustb． edu． cn 摘 要 在 Euler-Lagrange 框架下，基于应用分形理论对凝聚态 Al2O3 夹杂物形貌结构进行定量分析的基础上，数值模拟研究 了连铸中间包钢液中不同形貌凝聚态 Al2O3 夹杂物的运动行为． 研究发现中间包钢液流场和夹杂物形貌尺寸共同影响夹杂 物在钢液中的运动行为． 随着尺寸的变大，簇群状和致密球形两种形貌 Al2O3 夹杂物上浮去除率都逐渐增加． 在相同尺寸下， 簇群状 Al2O3 夹杂物上浮去除率比致密球形 Al2O3 夹杂物低; 随着尺寸的增加，簇群状 Al2O3 夹杂物上浮去除率相比于同尺 寸致密球形 Al2O3 夹杂物降低得就越多． 计算结果显示，与同尺寸的致密球形 Al2O3 夹杂物相比，直径为 20、40、60 和 80 μm 的簇群状 Al2O3 夹杂物上浮去除率分别降低了 4. 8% 、5. 7% 、6. 4% 和 12. 5% ． 关键词 连铸; 中间包; 分形维数; 氧化铝; 夹杂物; 数值分析 分类号 TF777. 1 Numerical simulation of condensed Al2O3 inclusion motion behavior in liquid steel in a continuous casting tundish WANG Yao 1，2) ，LI Hong1，2)  ，GUO Luo-fang1，2) 1) State Key Laboratory of Advanced Metallurgy，University of Science and Technology Beijing，Beijing 100083，China 2) School of Metallurgical and Ecological Engineering，University of Science and Technology Beijing，Beijing 100083，China  Corresponding author，E-mail: lihong@ metall． ustb． edu． cn ABSTＲACT Under the Euler-Lagrange framework，based on the quantitative description of inclusion morphology using the fractal theory，the motion behavior of condensed Al2O3 inclusions in liquid steel in a continuous casting tundish was studied by numerical sim￾ulation． It is found that liquid steel flow field and inclusion morphology influence the motion behavior of Al2O3 inclusions in liquid steel together． With increasing inclusion size，the floating removal rate of two different morphologies of inclusions，cluster-like Al2O3 inclu￾sions and spherical Al2O3 inclusions，becomes larger gradually． At the same inclusion size，the floating removal rate of cluster-like Al2O3 inclusions is lower than that of spherical Al2O3 inclusions． As the inclusion size increases，the floating removal rate of cluster￾like Al2O3 inclusions decreases more than that of spherical Al2O3 inclusions with the same size． At the inclusion size of 20，40，60 and 80 μm，the floating removal rate of cluster-like Al2O3 inclusions decreases by 4. 8% ，5. 7% ，6. 4% and 12. 5% compared with spheri￾cal Al2O3 inclusions，respectively． KEY WOＲDS continuous casting; tundishes; fractal dimension; alumina; inclusions; numerical analysis 收稿日期: 2013--01--25 基金项目: 国家自然科学基金资助项目( 51074020) DOI: 10． 13374 /j． issn1001--053x． 2014． 04． 003; http: / /journals． ustb． edu． cn 中间包是连铸过程控制钢液清洁度的关键环 节． 为了充分利用中间包去除夹杂物，国内外众多 学者对连铸中间包钢液中夹杂物颗粒的运动碰撞聚 合等动力学行为进行了大量的数学物理模拟研 究［1--3］． 其中使用 Euler-Lagrange 模型将钢液流场和 夹杂物颗粒运动控制方程耦合起来，是研究钢液中