D0L:10.13374.issn1001-053x2013.11.017 第35卷第11期 北京科技大学学报 Vol.35 No.11 2013年11月 Journal of University of Science and Technology Beijing Nov.2013 钢液中球状夹杂物颗粒受力情况的数值模拟 王耀1,2)，李宏1,2)凶，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)北京科技大学治金与生态工程学院，北京100083 ☒通信作者，E-mail:lihong@metall.ustb.edu.cn 摘要通过理论分析和数值模拟的方法，研究了1873K钢液中球状夹杂物颗粒运动过程中的受力情况.静止钢液和 湍流场中，夹杂物颗粒所受的压力梯度力、虚拟质量力、Saffman力及Magnus力较小，可以忽略不计.静止钢液和均匀 湍流场中，随着夹杂物颗粒尺寸的变大，颗粒所受Brown力逐渐衰减，当夹杂物颗粒直径大于20m时颗粒所受Brown 力基本不会对其运动造成影响，可以忽略不计.小于10的夹杂物颗粒布朗运动较为剧烈，单位质量夹杂物颗粒所受 Basset力和Brown力较大，成为主导夹杂物颗粒运动的主要作用力：尺寸较大的夹杂物颗粒（直径D>50um),Basset 力、质量力和Stokes力共同作用影响夹杂物颗粒的运动、碰撞和去除 关键词炼钢：夹杂物：受力分析：运动方程：数值方法 分类号TF703.5+4 Numerical simulation of the force condition of spherical inclusion particles in liquid steel WANG Yao2,2,LI Hong,2)☒，GU0Luo-fang,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 The force condition of spherical inclusion particles in 1873 K liquid steel was investigated by theoretical analysis and numeric simulation.It is found that the pressure gradient force,virtual mass force,Saffman force and Magnus force are little and can be ignored in static steel and turbulent flow fields.With increasing inclusion particle size,the Brown force imposed on the particles with a bigger size gradually decreases in static liquid steel and homogeneous turbulence fields.When the particle size is bigger than 20 um,the Brown force will have no influence on particle movement and can be ignored.The Brown motion of the particles with the size smaller than 10 um is very violent, the Basset force and Brown force imposed on the particles per unit mass become the main force determining particle movement.As for the big-size particles(D>50 um),the Basset force,mass force and Stokes force work together to influence the movement,collision and removal of the particles. KEY WORDS steelmaking;inclusions;force analysis;equations of motion;numerical methods 作为高温钢液中以第二相存在的非金属夹杂 研究-4，这些研究主要是将具体条件下的钢液流 物颗粒，颗粒的受力分析是研究夹杂物运动规律的 场和球状夹杂物颗粒运动控制方程耦合起来求解夹 基础.近年来众多冶金学者使用Lagrange模型对 杂物的运动轨迹，进而研究钢液中夹杂物的聚合去 钢液中球状夹杂物颗粒运动行为进行了大量的模拟 除等过程.然而上述研究在进行夹杂物颗粒受力分 收稿日期：2012-09-18 基金项目：国家自然科学基金资助项目(61074020)第 35 卷 第 11 期 北 京 科 技 大 学 学 报 Vol. 35 No. 11 2013 年 11 月 Journal of University of Science and Technology Beijing Nov. 2013 钢液中球状夹杂物颗粒受力情况的数值模拟 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 通过理论分析和数值模拟的方法，研究了 1873 K 钢液中球状夹杂物颗粒运动过程中的受力情况. 静止钢液和 湍流场中，夹杂物颗粒所受的压力梯度力、虚拟质量力、Saffman 力及 Magnus 力较小，可以忽略不计. 静止钢液和均匀 湍流场中，随着夹杂物颗粒尺寸的变大，颗粒所受 Brown 力逐渐衰减，当夹杂物颗粒直径大于 20 µm 时颗粒所受 Brown 力基本不会对其运动造成影响，可以忽略不计. 小于 10 µm 的夹杂物颗粒布朗运动较为剧烈，单位质量夹杂物颗粒所受 Basset 力和 Brown 力较大，成为主导夹杂物颗粒运动的主要作用力；尺寸较大的夹杂物颗粒 (直径 D>50 µm)，Basset 力、质量力和 Stokes 力共同作用影响夹杂物颗粒的运动、碰撞和去除. 关键词 炼钢；夹杂物；受力分析；运动方程；数值方法 分类号 TF703.5+4 Numerical simulation of the force condition of spherical inclusion particles in liquid steel WANG Yao1,2), 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 The force condition of spherical inclusion particles in 1873 K liquid steel was investigated by theoretical analysis and numeric simulation. It is found that the pressure gradient force, virtual mass force, Saffman force and Magnus force are little and can be ignored in static steel and turbulent flow fields. With increasing inclusion particle size, the Brown force imposed on the particles with a bigger size gradually decreases in static liquid steel and homogeneous turbulence fields. When the particle size is bigger than 20 µm, the Brown force will have no influence on particle movement and can be ignored. The Brown motion of the particles with the size smaller than 10 µm is very violent, the Basset force and Brown force imposed on the particles per unit mass become the main force determining particle movement. As for the big-size particles (D>50 µm), the Basset force, mass force and Stokes force work together to influence the movement, collision and removal of the particles. KEY WORDS steelmaking; inclusions; force analysis; equations of motion; numerical methods 作为高温钢液中以第二相存在的非金属夹杂 物颗粒，颗粒的受力分析是研究夹杂物运动规律的 基础. 近年来众多冶金学者使用 Lagrange 模型对 钢液中球状夹杂物颗粒运动行为进行了大量的模拟 研究 [1−4]，这些研究主要是将具体条件下的钢液流 场和球状夹杂物颗粒运动控制方程耦合起来求解夹 杂物的运动轨迹，进而研究钢液中夹杂物的聚合去 除等过程. 然而上述研究在进行夹杂物颗粒受力分 收稿日期：2012-09-18 基金项目：国家自然科学基金资助项目 (51074020) DOI:10.13374/j.issn1001-053x.2013.11.017