复合磁场下板坯连铸结晶器夹杂物颗粒的捕捉

doi:10.12068/j.issn.1005-3026.2026.20240132

摘要/Abstract

摘要：

针对连铸坯凝固均匀性及表面缺陷控制问题，本文建立了电磁搅拌和电磁制动复合磁场调控下的结晶器流动与凝固预测数学模型，利用WALE（wall-adapting local eddy-viscosity）大涡模拟方法以及一种简化的夹杂物捕捉准则，分析复合磁场调控对铸坯表面缺陷的控制机理.研究结果表明：夹杂物颗粒的捕捉位置主要出现在铸坯的外表层，复合磁场下宽面和窄面的凝固壳厚度之差比无电磁调控时降低了4.59%，复合磁场下夹杂物捕捉总量比无磁场时减少了47.21%.研究表明，电磁制动主要抑制凝固壳内夹杂物的捕捉，电磁搅拌的核心作用是促进流动和凝固均匀性.

关键词: 夹杂物, 电磁制动, 电磁搅拌, 凝固均匀性, 连铸结晶器

Abstract:

In this paper， a mathematical model for predicting the flow and solidification of the mold under the control of the composite electromagnetic field of electromagnetic stirring and electromagnetic braking was established to address issues related to solidification homogeneity and surface defect control in continuous casting slabs. The wall-adapting local eddy-viscosity （WALE） large eddy simulation model， in conjunction with a simplified inclusion capture criterion， was employed to analyze the mechanism by which the composite electromagnetic field controlled surface defects in the cast slabs. The findings reveal that the capture locations of inclusions are mainly concentrated in the outer surface layer of the slabs； the difference between the thickness of the solidified shell in the wide and narrow surface under the composite magnetic field is reduced by 4.59% compared with that without electromagnetic field， and the total amount of inclusion capture under the composite magnetic field is reduced by 47.21% compared with that without electromagnetic field. It is found that electromagnetic braking inhibits the inclusion capture in the solidified shell， and the core role of electromagnetic stirring is to promote the flow and solidification homogeneity.

Key words: inclusion, electromagnetic braking, electromagnetic stirring, solidification homogeneity, continuous casting mold

中图分类号:

TF 777.1

曹平, 王长军, 李宝宽, 范正洁. 复合磁场下板坯连铸结晶器夹杂物颗粒的捕捉[J]. 东北大学学报（自然科学版）, 2026, 47(1): 138-144.

Ping CAO, Chang-jun WANG, Bao-kuan LI, Zheng-jie FAN. Inclusion Particles Capture in Slab Continuous Casting Mold Under Composite Magnetic Fields[J]. Journal of Northeastern University(Natural Science), 2026, 47(1): 138-144.

图/表 11

图1 物理模型、边界条件及网格细节（a）—物理模型；（b）—边界条件及网络细节.

Fig.1 Physical model， boundary conditions and mesh details

表1 钢液的物性参数

Table 1 Physical property parameters of molten steel

物性参数	数值
密度/(kg·m^-3)	7 100
比热容/(J·kg^-1·K^-1)	710
热导率/(W·m^-1·K^-1)	43
黏度/(kg·m^-1·s^-1)	0.004 71
相变潜热/(J·kg^-1)	270 000
电导率/(S·m^-1)	714 000
固相线温度/K	1 760
液相线温度/K	1 787

表2 主要尺寸及参数

Table 2 Main dimensions and parameters

参数	数值
结晶器尺寸/mm	1 450×250
结晶器工作高度/mm	800
结晶器延伸高度/mm	2 500
浸入式水口内径/mm	80
浸入式水口外径/mm	130
浸入式水口浸入深度/mm	211.5
浸入式水口出口尺寸/mm	80×65
浸入式水口倾角/（°）	-15
通钢量/(t·min^-1)	4
吹氩量/(L·min^-1)	10
结晶器宽面单面冷却水流量/(m³·min^-1)	2.8
结晶器窄面单面冷却水流量/(m³·min^-1)	0.46
电磁搅拌频率/Hz	4.5
电磁搅拌电流强度/A	600
电磁制动电流强度/A	500
电磁搅拌线圈匝数/匝	20
电磁制动线圈匝数/匝	100

图2 粒子在凝固前沿的受力

Fig.2 Force on particles in solidification front

图3 磁感应强度分布对比

Fig.3 Comparison of magnetic flux density distributions

图4 宽面中心速度分布（a）—无磁场；（b）—电磁制动；（c）—电磁搅拌；（d）—复合磁场.

Fig.4 Velocity distribution at center of wide surface

图5 凝固壳厚度对比（a）—宽面；（b）—窄面.

Fig.5 Comparison of solidified shell thicknesses

表3 结晶器出口凝固壳厚度 (mm)

Table 3 Solidified shell thickness at outlet of mold

条件	宽面出口凝固壳厚度	窄面出口凝固壳厚度	宽与窄面厚度差值
无磁场	37.77	27.97	9.80
电磁制动	37.97	28.28	9.69
电磁搅拌	37.01	27.67	9.34
复合磁场	37.50	28.15	9.35

图6 气泡类夹杂物捕捉位置空间分布（a）—无磁场；（b）—电磁制动；（c）—电磁搅拌；（d）—复合磁场.

Fig.6 Spatial distribution of capture locations of bubble inclusions

图7 固体类夹杂物捕捉位置空间分布（a）—无磁场；（b）—电磁制动；（c）—电磁搅拌；（d）—复合磁场.

Fig.7 Spatial distribution of capture locations of solid inclusions

图8 厚度方向夹杂物捕捉统计（a）—固体类夹杂物；（b）—气泡类夹杂物.

Fig.8 Statistics on inclusion capture along thickness direction

参考文献 22

[1]	任忠鸣，雷作胜，李传军，等. 电磁冶金技术研究新进展［J］. 金属学报， 2020， 56（4）：583-600.
	Ren Zhong-ming， Lei Zuo-sheng， Li Chuan-jun， et al. New study and development on electromagnetic field technology in metallurgical processes［J］. Acta Metallurgica Sinica， 2020， 56（4）：583-600.
[2]	Li B K， Tsukihashi F. Effects of electromagnetic brake on vortex flows in thin slab continuous casting mold［J］. ISIJ International， 2006， 46（12）： 1833-1838.
[3]	Li B K， Tsukihashi F. Numerical estimation of the effect of the magnetic field application on the motion of inclusion in continuous casting of steel［J］. ISIJ International， 2003， 43（6）： 923-931.
[4]	Lu H B， Zhong Y B， Ren W L， et al. Effect of electromagnetic brake on transient asymmetric flow， solidification， and inclusion transport in a slab continuous casting［J］. Steel Research International， 2022， 93（11）： 2200518.
[5]	Yin Y B， Zhang J M， Ma H T， et al. Large eddy simulation of transient flow， particle transport， and entrapment in slab mold with double-ruler electromagnetic braking［J］. Steel Research International， 2021， 92（5）： 2000582.
[6]	Lu H B， Zhong Y B， Ren Z M， et al. Numerical simulation of EMS position on flow， solidification and inclusion capture in slab continuous casting［J］. Journal of Iron and Steel Research International， 2022， 29（11）： 1807-1822.
[7]	Kumar R， Jha P K. Effect of electromagnetic stirring on the transient flow， solidification and inclusion movements in the continuous casting slab mold［J］. International Journal of Numerical Methods for Heat & Fluid Flow， 2023， 33（11）： 3716-3733.
[8]	刘中秋. 连铸结晶器内多相非均匀传递机制的多尺度模拟［D］. 沈阳：东北大学， 2015.
	Liu Zhong-qiu. Multi-scale modeling of multiphase and inhomogeneous transmission mechanisms in continuous casting mold［D］. Shenyang： Northeastern University， 2015.
[9]	Liu Z Q， Li B K， Jiang M F， et al. Modeling of transient two-phase flow in a continuous casting mold using Euler-Euler large eddy simulation scheme［J］. ISIJ International， 2013， 53（3）： 484-492.
[10]	Zappulla M L S， Cho S M， Koric S， et al. Multiphysics modeling of continuous casting of stainless steel［J］. Journal of Materials Processing Technology， 2020， 278：116469.
[11]	Yuan Q， Thomas B G， Vanka S P. Study of transient flow and particle transport in continuous steel caster molds： part I. fluid flow［J］. Metallurgical and Materials Transactions B， 2004， 35（4）： 685-702.
[12]	Yuan Q， Thomas B G， Vanka S P. Study of transient flow and particle transport in continuous steel caster molds： part II. particle transport［J］. Metallurgical and Materials Transactions B， 2004， 35（4）： 703-714.
[13]	刘中秋，李宝宽，肖丽俊，等. 连铸结晶器内高温熔体多相流模型化研究进展［J］. 金属学报， 2022， 58（10）： 1236-1252.
	Liu Zhong-qiu， Li Bao-kuan， Xiao Li-jun， et al. Modeling progress of high-temperature melt multiphase flow in continuous casting mold ［J］. Acta Metallurgica Sinica， 2022， 58（10）： 1236-1252.
[14]	李宝宽，刘中秋. 炼钢中的计算流体力学［M］. 北京：冶金工业出版社， 2016.
	Li Bao-kuan， Liu Zhong-qiu. Computational fluid dynamics in steelmaking processes［M］. Beijing： Metallurgical Industry Press， 2016.
[15]	刘中秋，李林敏，李宝宽. 连铸结晶器内气泡群粒径分布的实验研究［J］. 东北大学学报（自然科学版）， 2017， 38（1）： 57-61.
	Liu Zhong-qiu， Li Lin-min， Li Bao-kuan. Experimental study of bubble size distribution in continuous casting mold［J］. Journal of Northeastern University（Natural Science）， 2017， 38（1）： 57-61.
[16]	Sánchez-Perez R， Morales R D， Díaz-Cruz M， et al. A physical model for the two-phase flow in a continuous casting mold［J］. ISIJ International， 2003， 43（5）： 637-646.
[17]	徐海伦. 板坯连铸结晶器内气泡行为和液渣分布规律的研究［D］. 重庆：重庆大学， 2007.
	Xu Hai-lun. Study on behavior of bubbles and liquid slag distribution in mold for slab caster［D］. Chongqing： Chongqing University， 2007.
[18]	Jin K， Thomas B G， Ruan X M. Modeling and measurements of multiphase flow and bubble entrapment in steel continuous casting［J］. Metallurgical and Materials Transactions B， 2016， 47（1）： 548-565.
[19]	Petrus B， Zheng K， Zhou X， et al. Real-time， model-based spray-cooling control system for steel continuous casting［J］. Metallurgical and Materials Transactions B， 2011， 42（1）： 87-103.
[20]	Li X L， Li B K， Liu Z Q， et al. Large eddy simulation of electromagnetic three-phase flow in a round bloom considering solidified shell［J］. Steel Research International， 2019， 90（4）： 1800133.
[21]	Yamazaki M， Natsume Y， Harada H， et al. Numerical simulation of solidification structure formation during continuous casting in Fe-0.7mass%C alloy using cellular automaton method［J］. ISIJ International， 2006， 46（6）： 903-908.
[22]	Wang C J， Liu Z Q， Li B K. Effect of the intensity of single-ruler electromagnetic braking on the flow pattern in a thin-slab funnel mold［J］. Metallurgical and Materials Transactions B， 2023， 54（6）： 3438-3450.