.1442 北京科技大学学报 第35卷 (张邦文，李保卫，刘中兴.连铸中间包钢液中夹杂物颗粒 Conference.Italy,2002:277 运动轨迹的数值模拟.包头钢铁学院学报，1999,18(2)： [9]Kim MM,Zydney A L.Effect of electrostatic,hydrody- 125) namic and Brownian forces on particle trajectories and [2]Zhang J M,He J C,Li B K.Mathematical simulation sieving in normal flow filtration.J Colloid Interface Sci, to the moving trajectory of inclusion particles of mold in 2004,269(2):425 continuous casting process.Chin J Nonferrous Met,1997, [10 Jiang Y X.Research and Analysis of a Spherical Particle 7(Suppl 1):82 Rising in the Liquid [Dissertation].Dalian:Dalian Uni- (张炯明，赫冀成，李保宽.连铸结晶器中夹杂物粒子运动 versity of Technology,2009 轨迹的数值模拟.中因有色金属学报，1997,7（增刊1）：82) (姜远新.球形颗粒在静止溶液中自由上升行为研究[学位 [3]Deng A Y,He J C,Jia G L.Trajectories of inclusions dur- 论文].大连：大连理工大学，2009) ing solidification of steel square billet.J Northeast Univ [11]Liu X B,Cheng L J.Effects of basset history force on Nat Sci,2000,21(5):532 the motion in a flow field.J Sichuan Inst Technol,1996, (邓安元，赫冀成，贾光霖.方坯凝固过程中夹杂物的运动 15(2):55 轨迹.东北大学学报：自然科学版，2000,21(5)532) (刘小兵，程良骏.Basset力对颗粒运动的影响.四川工业 [4]Gardin P,Domgin J F,Simonnet M,et al.Modeling of in- 学院学报，1996.15(2：55) clusion evolution in a steel ladle.Rev Metall,2008,105(2): [12]Rubinow S I,Keller J B.The transverse force on a spin- 84 [5]You C F,Qi H Y,Xu X C.Progresses and applications of ning sphere moving in a viscous fluid.J Fluid Mech,1961 11(3):447 basset force.Chin J Appl Mech,2002,19(2):31 (由长福，祁海鹰，徐旭常.Basset力研究进展与应用分析. [13]Saffman P G.The lift on a small sphere in a slow shear 应用力学学报，2002.19(2)：31) flow.J Fluid Mech,1965,22(2):385 [6]Liu X B,Cheng L J.Analysis and solution of the La- [14]Huang S H,Li W,Cheng L J.On numeric method of re- grangian particle motion equation.Water Resour Electr solving discrete solid particles'motion equation and its Power,1995,22(1):41 applications.J Hydrodyn,1999,14(1):51 (刘小兵，程良骏.Lagrangian颗粒运动方程的分析和求解. (黄社华，李炜，程良骏任意流场中稀疏颗粒运动方程的 水利电力科技，1995.22(1)：41) 数值解法及其应用.水动力学研究与进展，1999,14(1)：51) [7]Huang S H,Li W,Cheng L J.On equation of discrete solid [15]Li Q Y,Wang N C,Yi D Y.Numerical Analysis.Wuhan: particles motion in arbitrary flow field and its properties. Huazhong University of Science and Technology Press, Appl Math Mech,2000,21(3):297 1988 [8 Zhang L F,Thomas B G.Alumina inclusion behavior dur- (李庆杨，王能超，易大义.数值分析.武汉：华中理工大学 ing steel deoxidation //7th European Electric Steelmaking 出版社，1988)· 1442 · 北 京 科 技 大 学 学 报 第 35 卷 (张邦文, 李保卫, 刘中兴. 连铸中间包钢液中夹杂物颗粒 运动轨迹的数值模拟. 包头钢铁学院学报, 1999, 18(2): 125) [2] Zhang J M, He J C, Li B K. Mathematical simulation to the moving trajectory of inclusion particles of mold in continuous casting process. Chin J Nonferrous Met, 1997, 7(Suppl 1): 82 (张炯明, 赫冀成, 李保宽. 连铸结晶器中夹杂物粒子运动 轨迹的数值模拟. 中国有色金属学报, 1997, 7(增刊 1): 82) [3] Deng A Y, He J C, Jia G L. Trajectories of inclusions dur￾ing solidification of steel square billet. J Northeast Univ Nat Sci, 2000, 21(5): 532 (邓安元, 赫冀成, 贾光霖. 方坯凝固过程中夹杂物的运动 轨迹. 东北大学学报: 自然科学版, 2000, 21(5): 532) [4] Gardin P, Domgin J F, Simonnet M, et al. Modeling of in￾clusion evolution in a steel ladle. Rev Metall, 2008, 105(2): 84 [5] You C F, Qi H Y, Xu X C. Progresses and applications of basset force. Chin J Appl Mech, 2002, 19(2): 31 (由长福, 祁海鹰, 徐旭常. Basset 力研究进展与应用分析. 应用力学学报, 2002, 19(2): 31) [6] Liu X B, Cheng L J. Analysis and solution of the La￾grangian particle motion equation. Water Resour Electr Power, 1995, 22(1): 41 (刘小兵, 程良骏. Lagrangian 颗粒运动方程的分析和求解. 水利电力科技, 1995, 22(1): 41) [7] Huang S H, Li W, Cheng L J. On equation of discrete solid particles motion in arbitrary flow field and its properties. Appl Math Mech, 2000, 21(3): 297 [8] Zhang L F, Thomas B G. Alumina inclusion behavior dur￾ing steel deoxidation // 7th European Electric Steelmaking Conference. Italy, 2002: 277 [9] Kim M M, Zydney A L. Effect of electrostatic, hydrody￾namic and Brownian forces on particle trajectories and sieving in normal flow filtration. J Colloid Interface Sci, 2004, 269(2): 425 [10] Jiang Y X. Research and Analysis of a Spherical Particle Rising in the Liquid [Dissertation]. Dalian: Dalian Uni￾versity of Technology, 2009 (姜远新. 球形颗粒在静止溶液中自由上升行为研究 [学位 论文]. 大连: 大连理工大学, 2009) [11] Liu X B, Cheng L J. Effects of basset history force on the motion in a flow field. J Sichuan Inst Technol, 1996, 15(2): 55 (刘小兵, 程良骏. Basset 力对颗粒运动的影响. 四川工业 学院学报, 1996, 15(2): 55) [12] Rubinow S I, Keller J B. The transverse force on a spin￾ning sphere moving in a viscous fluid. J Fluid Mech, 1961, 11(3): 447 [13] Saffman P G. The lift on a small sphere in a slow shear flow. J Fluid Mech, 1965, 22(2): 385 [14] Huang S H, Li W, Cheng L J. On numeric method of re￾solving discrete solid particles’ motion equation and its applications. J Hydrodyn, 1999, 14(1): 51 (黄社华, 李炜, 程良骏. 任意流场中稀疏颗粒运动方程的 数值解法及其应用. 水动力学研究与进展, 1999, 14(1): 51) [15] Li Q Y, Wang N C, Yi D Y. Numerical Analysis. Wuhan: Huazhong University of Science and Technology Press, 1988 (李庆杨, 王能超, 易大义. 数值分析. 武汉: 华中理工大学 出版社, 1988)