.936 北京科技大学学报 第29卷 01一 颗粒出溜槽时的速度，ms一1； 学，2007 炉顶煤气流速，ms1； [2]郑卫国，李怀远，陈令坤，等.武钢1号高炉开炉装料实测炼 g 铁，2002,21(5)：10 v:一颗粒在i方向上的分速度，ms1; [3]刘云彩.高炉布料规律.3版北京：冶金工业出版社，2005：87 v0一颗粒出溜槽时i向的初速度，ms1; [4]任廷志，赵静一，乔长锁，等.炉料的潜体阻力对高炉布料的影 △i一颗粒在i方向上运动距离，m; 响.钢铁，1998,33(5)：9 a 溜槽的倾角，（°）： [5]Haider A.Levenspiel O.Drag coefficient and terminal velocity of spherical and nonspherical particles.Powder Technol.1989.58; 巾一 颗粒的形状因子； 63 颗粒的表观密度，kgm-3; [6]Radhakrishnan V R.Maruthy Ram K.Mathematical model for ?g一炉顶煤气的密度，kgm3; predictive control of the bell-less top charging system of a blast 煤气对颗粒的阻力系数； furnace.J Process Control,2001.11:565 f— [7]Jimenez J,Mochon J,de Ayala JS.Mathematical model of gas 摩擦因数； flow distribution in a scale mode of a blast furnace shaft.ISIJ Int, 煤气的黏度系数，Pas; 2004,44(3):518 ω一溜槽转速，r3一1. [8]王平.串罐无料钟料流轨迹与宽度测定及其分析.钢铁，2003， 38(3):8 参考文献 [9]王筱留.钢铁冶金学（炼铁部分）北京：治金工业出版社，2000 [1]朱清天.高炉煤气流分布的研究[学位论文]北京：北京科技大 Mathematical model of burden trajectory in a blast furnace ZHU Qingtian,CHENG Shusen Metallurgical and Ecological Engineering School.University of Science and Technology Beijing.Beijing 100083.China ABSTRACI Grain gravity,buoyancy and gas drag were taken into consideration in burden trajectory calcula tion and the movement trajectory of a particle in chute and freeboard was computed.The influencing laws of gas drag on the landing point were analyzed according to the discussion about the variation of charging radius with different burdens in their range of grain diameter and the percent of gas drag.It is shown that the effect of gas drag should be considered for the precise calculation of burden trajectory,the landing points of particles are not the same because of their different density,size and shape factor,and burden distribution is influenced by the distribution of top gas flow. KEY WORDS blast furnace;charging:burden trajectory:landing point;mathematical modelv1———颗粒出溜槽时的速度‚m·s —1 ； v g———炉顶煤气流速‚m·s —1 ； vi———颗粒在 i 方向上的分速度‚m·s —1 ； vi0———颗粒出溜槽时 i 向的初速度‚m·s —1 ； Δi———颗粒在 i 方向上运动距离‚m； α———溜槽的倾角‚（°）； ●———颗粒的形状因子； ρ———颗粒的表观密度‚kg·m —3 ； ρg———炉顶煤气的密度‚kg·m —3 ； ζ———煤气对颗粒的阻力系数； f———摩擦因数； μ———煤气的黏度系数‚Pa·s； ω———溜槽转速‚r·s —1． 参 考 文 献 ［1］ 朱清天．高炉煤气流分布的研究［学位论文］．北京：北京科技大 学‚2007 ［2］ 郑卫国‚李怀远‚陈令坤‚等．武钢1号高炉开炉装料实测．炼 铁‚2002‚21（5）：10 ［3］ 刘云彩．高炉布料规律．3版．北京：冶金工业出版社‚2005：87 ［4］ 任廷志‚赵静一‚乔长锁‚等．炉料的潜体阻力对高炉布料的影 响．钢铁‚1998‚33（5）：9 ［5］ Haider A‚Levenspiel O．Drag coefficient and terminal velocity of spherical and nonspherical particles．Powder Technol‚1989‚58： 63 ［6］ Radhakrishnan V R‚Maruthy Ram K．Mathematical model for predictive control of the bel-l less top charging system of a blast furnace．J Process Control‚2001‚11：565 ［7］ Jimenez J‚Mochon J‚de Ayala J S．Mathematical model of gas flow distribution in a scale mode of a blast furnace shaft．ISIJ Int‚ 2004‚44（3）：518 ［8］ 王平．串罐无料钟料流轨迹与宽度测定及其分析．钢铁‚2003‚ 38（3）：8 ［9］ 王筱留．钢铁冶金学（炼铁部分）．北京：冶金工业出版社‚2000 Mathematical model of burden trajectory in a blast furnace ZHU Qingtian‚CHENG Shusen Metallurgical and Ecological Engineering School‚University of Science and Technology Beijing‚Beijing100083‚China ABSTRACT Grain gravity‚buoyancy and gas drag were taken into consideration in burden trajectory calcula￾tion and the movement trajectory of a particle in chute and freeboard was computed．The influencing laws of gas drag on the landing point were analyzed according to the discussion about the variation of charging radius with different burdens in their range of grain diameter and the percent of gas drag．It is shown that the effect of gas drag should be considered for the precise calculation of burden trajectory‚the landing points of particles are not the same because of their different density‚size and shape factor‚and burden distribution is influenced by the distribution of top gas flow． KEY WORDS blast furnace；charging；burden trajectory；landing point；mathematical model ·936· 北 京 科 技 大 学 学 报 第29卷