Mathematical simulation of effect of nozzle eccentricity on ladle teeming process
TANG Wen-dan1, TANG Hai-yan2
1. School of Metallurgical Engineering, Xi′an University of Architecture and Technology, Xi′an 710055, Shaanxi, China; 2. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, China
Abstract:The nozzle eccentricity plays a significant role in the formation and development of the sink vortex at the end of ladle teeming. An optimized nozzle eccentricity based on the characteristics of a ladle can help to control the shape of a vortex, thus suppressing its harmful effects. However, relative research, especially on the details of how the nozzle eccentricity influences the flow field and the teeming process of a ladle, is still limited. A numerical simulation method was employed to study the flow field and the teeming process. "Influence degree" was proposed and used to quantitatively analyze the influence of nozzle eccentricity on fourteen physical parameters of the flow field and the teeming process, including nozzle flow rate, vortex angular velocity, turbulent kinetic energy, and nozzle gas content. The results show that there is a nonlinear relationship between the nozzle eccentricity and these physical parameters; the critical points of these physical parameters are different, ranging from 0.5 to 0.7; and the vortex stability and the inner surface of the container are two main influence factors of the critical point.
[1] 唐海燕,梁永昌.钢包浇注末期汇流漩涡形成机理及影响因素[J].金属学报,2016,52(5):519.(TANG Hai-yan,LIANG Yong-chang. Formation mechanism and influence factors of sink vortex during ladle teeming [J]. Acta Metallurgica Sinica,2016,52(5):519.) [2] 蔺瑞.钢包浇注过程中漩涡下渣的产生及控制[D].沈阳:东北大学,2012.(LIN Rui. Generation and Controlling of Slag Entrapment Caused by Vortex on Teeming Process in Land [J]. Shenyang:Northeast University,2012.) [3] 周俐,曹成虎,戴伟,等. 120 t钢包汇流卷渣的物理模拟[J].炼钢,2012,28(2):60.(ZHOU Li,CAO Cheng-hu,DAI Wei,et al. Physical simulation of sink-vortex slag entrainment in 120 t ladle[J]. Steelmaking,2012,28(2):60.) [4] 金友林,包燕平.CAS精炼钢包中气泡运动行为研究[J].钢铁,2008,43(4):31.(JIN You-lin,BAO Yan-ping. Study of gas-bubbling in CAS refining ladle [J]. Iron and Steel,2008,43(4):31.) [5] 蔺瑞,颜正国,于景坤.钢包浇注过程汇流旋涡的物理实验[J]. 东北大学学报(自然科学版),2010,31(9):1287.(LIN Rui,YAN Zheng-guo,YU Jing-kun. Physical modeling test of vortex during teeming from ladle[J]. Journal of Northeast University(Natural Science),2010,31(9):1287.) [6] Mazzaferro G M,Piva M,Ferro S P,et al. Experimental and numerical analysis of ladle teeming process[J]. Ironmaking and Steelmaking,2004,31(6):1. [7] 蔺瑞,颜正国,刘涛,等.60 t钢包浇注过程中汇流旋涡形成机理[J].过程工程学报,2010,10(4):35.(LIN Rui,YAN Zheng-guo,LIU Tao,et al. Modeling formation mechanism of vortex during steel casting in a 60 t ladle[J]. The Chinese Journal of Process Engineering,2010,10(4):35.) [8] 叶树峰,谢峪生,黄晔,等.反应器中出流口的大小和形状对漩涡临界高度的影响[J].炼钢,1999,15(5):55.(YE Shu-feng,XIE Yu-sheng,HUANG Ye,et al. Influence of the area and shape of outlet on the critical height of vortex sink[J]. Steelmaking,1999,15(5):55.) [9] Davila O,Garcia-Demedices L,Morales R D. Mathematical simulation of fluid dynamics during steel draining operations from a ladle[J]. Metallurgical and Materials Transactions B,2006,37(1):71. [10] 于鹏飞,刘小亮,曾加庆,等.转炉底吹元件非均衡供气搅拌的冷态水模拟[J].钢铁,2018,53(6):39.(YU Peng-fei,LIU Xiao-liang,ZENG Jia-qing,et al. Water simulation on mixing of bottom blowing parts with non equilibrium gas supply in converter[J]. Iron and Steel,2018,53(6):39.) [11] 黄含哲,唐萍,蒋有洪,等.钢包浇铸末期旋涡高度控制物理模拟研究[J].炼钢,2018,34(4):17.(HUANG Han-zhe,TANG Ping,JIANG You-hong,et al. Study on control of height of the vortex during ladle final teeming by physical model[J]. Steelmaking,2018,34(4):17.) [12] 梁永昌,唐海燕,江涛,等.钢包浇铸末期汇流旋涡形成的影响因素研究[J]. 炼钢,2016,2(3):35.(LIANG Yong-chang,TANG Hai-yan,JIANG Tao,et al. Research on influence factors of sink vortex during ladle teeming[J]. Steelmaking,2016,32(3):35.) [13] 孔凡杰,蒋有洪,唐萍,等.100 t钢包浇铸末期起旋高度及控制物理模拟研究[J].连铸,2020,45(1):6.(KONG Fan-jie,JIANG You-hong,TANG Ping,et al. Physical simulation study on the starting height and control of 100 t ladle at the end of casting[J]. Continuous Casting,2020,45(1):6.) [14] 魏季和,贺元,史国敏.侧顶复吹条件下AOD转炉熔池内流体流动的数学模拟:模型对侧顶复吹过程的应用及结果[J].过程工程学报,2011,11(1):40.(WEI Ji-he,HE Yuan,SHI Guo-min. Mathematical modeling of fluid flow in an AOD converter bath under conditions of combined side and top blowing:Application of the model to combined side and top blowing process and results[J]. The Chinese Journal of Process Engineering,2011,11(1):40.) [15] 魏季和,贺元,史国敏.侧顶复吹条件下AOD转炉熔池内流体流动的数学模拟:模型对纯侧吹过程的应用及结果[J].过程工程学报,2010,10(5):959.(WEI Ji-he,HE Yuan,SHI Guo-min. Mathematical modeling of fluid flow in an AOD converter bath under conditions of combined side and top blowing:Application of the model to simple side blowing process and results[J]. The Chinese Journal of Process Engineering,2011,10(5):959.) [16] 唐海燕,李京社,丁小明,等.地转偏向力对侧顶复吹AOD炉流场影响的理论分析[J].工程科学学报,2011,33(s1):34.(TANG Hai-yan,LI Jing-she,DING Xiao-ming,et al. Theoretical analysis on the influence of coriolis force on the flow field of combined side and top blowing AOD converter [J].Journal of University of Science and Technology Beijing,2011,33(s1):34.) [17] White A A,Bromley R A. Dynamically consistent,quasi-hydrostatic equation for global models with a complete representation of the Coriolis force[J]. Quarterly Journal of the Royal Meteorological Society,1995,121(522):399. [18] 庄垂锋.水平地转偏向力[J].福建师范大学学报(自然科学版),1987,3(1):91.(ZHUANG Chui-feng. The horizontal coriolis force[J]. The Journal of Fujian Teachers University(Natural Science),1987,3(1):91.) [19] 赵树清,刘自清.地转偏向力的探讨[J].江西师范大学学报,1990,14(3):87.(ZHAO Shu-qing,LIU Zi-qing. Discussion on coriolis force[J]. Journal of Jiangxi Normal University,1990,14(3):87.) [20] 张瑞东,艾新港,李胜利,等.70 t钢包浇注过程中漩涡形成高度与临界高度的水模研究[J].辽宁科技大学学报,2019,42(2):91.(ZHANG Rui-dong,AI Xin-gang,LI Sheng-li,et al. Water model simulation study on formation height and critical height of vortex in a 70 t steel ladle during teeming[J]. Journal of University of Science and Technology Liaoning,2019,42(2):91.) [21] Khajavi L T,Barati M. Cold model study of emulsification behavior in bottom blown metallurgical baths covered with thick slag[J]. ISIJ International,2010,50(5):654. [22] Patil S P,Satish D,Peranandhanathan M,et al. Mixing models for slag covered,argon stirred ladles[J]. ISIJ International,2010,50(8):1117. [23] 黄晔,李美明.渣层厚度和出流口形状对汇流旋涡下渣的影响[J].钢铁研究学报,1995,7(6):9.(HUANG Ye,LI Mei-ming. Influence of slag thickness and outlet shape on the vortex sink carrying slag[J]. Journal of Iron and Steel Research,1995,7(6):9.) [24] 冯巍,屈天鹏,王德永.冶金过程旋涡流动行为模拟研究[J].连铸,2019,44(5):1.(FENG Wei,QU Tian-peng. Modeling of vortex flow during metallurgical process[J]. Continuous Casting,2019,44(5):1.)