。1546 北京科技大学学报 第32卷 黏度随(BO/T值变化的基本趋势.在此基础上， cal viscosity model for fully uid skgs in the system Pan 3 利用文献中的CaO-SD-M)A!Q体系黏度数据建 Sunmary of the model Predictons pr he AlO,-CaOM-S0, 立了一个基于(NBO/①的黏度模型，该模型可以表 system and its sub-systms SIJ nt 2006.46(3):375 [7 Kondratiev A HavesPC Jak E Deve kpment of a quasi chemi 示为 cal viscosit/malel prfully Iu shgs n the A]Q CaO:FeO- 四一84a75万35+0y万×+ 43.63 150450 M8OSO system the expermental data for the.F M- SO.CaO FO M8O-SO and A]Q -CaO:F -M8-SO. 利用该模型预报了COSO-AQ三元系、 systems at ion sa tm tion SIJ Int 2008,48(1):7 “ound ob"项目中高炉渣COS)M)AyQ四 [8 Urlan G BoiretM Shg viscosity measurement and estmate 元系、COS0-AQRO(BO体系的黏度值，取 RevMetall198986(4):209 [9 GayeH Rbaud PV Welfringer J Use of a shgmalel o de 得了较好的预报效果，平均误差小于Uban模型和 scrbe skgmetal eactions and Precipitation of inc jusions Ion 修改后的Iid模型.该模型能有效预报高炉渣与 makng Steemaking 1988 15(6):319 CO-S0M)A!O-RQKO或NgO体系黏度 [10 ForbackaI Hokppa I,Iila T et al Expermental sudy of 值. viscosities of se lec ted CaMA]S0,skgs and app lica tin of the Iidamadlel Scand JMetall 2003 32(5):273 参考文献 11]NakamooM MiyabavashiY Hohppa I,et a]A model for es tmating viscosities of akm inosilicare m elts contain ing alka li ox I 1]Seetharman Sichen D Zhang JY Computerbased sudy of multicompanent slag viscosities JM 1999 51(8):38 des1SJnt200747(10):1409 【】ShankarA GomenpM LahiriAK et al Estimat知of viscosi 12 MillsK C hfluence of strucureon the physica chemical poper t for blast funace ope slags Inormaking Steemakng 2007,34 ties of skgs ISU Int 1993 33(1):148 13 Mao Y W.Met lurgical Melt Beijng Memllurgical Industry (6:477 I3]Srilhar Sichen D Seetharman et al Viscosit estmation PE551994 mode ls for temary s SteelRes 2001 72(1):3 (毛裕文.治金熔体.北京：治金工业出版社.194) [4 KondmtievA Hayes PC Jak E Devepiment ofa quasi chemi 14 Souhei$Noritka K ioshiK et a]Viscosities ofCaoSO- AlO-(R,O orRO melts SIJ ht 2006 46(3):7 cal viscosit model for fully lquid slags n the AlO-CaO F_ [15 Machin J$YeeT B Hama DI Viscosit stulies of system MSO,system Pan 1 Descrption of themodel and its appli cation to theM8 M0 AlO-M8 and COM8O sub-sys COM8OA]O SO.III.35 45.amd50 S0,JAm Ce m5s1S0mt200646(3h359 mS0g195235(12):32 5 KandmtievA Hayes PC JakE Devepiment ofa quasichemi 【16 MillsK C Chapman I Fox AB et a·Round Project cal viscosit model for ully u s n the AlO-CaO:F- a the estmatin of skg viscosities Scand J Metall 2001,30 M8)SO system Pan2 A review of the expermenl dan and (6片396 the model predictins for he AlO-CaQM)CaOM8SD [17 Machin J$Yee T B Viscosit studies of syscm CaM)- ad A]O M8OSO sysims ISU ht 2006 4(3):368 Al93-S0:Ⅱ，C0-A03-S0.J Am Ceram Soc194831 [6 KandmtievA Hayes PC Jak E Devepiment ofa quasichmi (7片200北 京 科 技 大 学 学 报 第 32卷 黏度随 ( NBO/T)值变化的基本趋势.在此基础上, 利用文献中的 CaO-SiO2-MgO-Al2 O3体系黏度数据建 立了一个基于 ( NBO/T)的黏度模型, 该模型可以表 示为 lnη=-8.4 - 43.63 3.75 +( NBO/T) + 150450 3.75 +( NBO/T) × 1 T . 利用该模型预报 了 CaO-SiO2-Al2 O3 三元系 、 “roundrobin”项目中高炉渣 CaO-SiO2 -MgO-Al2 O3四 元系、CaO-SiO2-Al2 O3 -RO( R2 O) 体系的黏度值, 取 得了较好的预报效果, 平均误差小于 Urbain模型和 修改后的 Iida模型 .该模型能有效预报高炉渣与 CaO-SiO2 -MgO-Al2O3-R2 O( K2O或 Na2 O) 体系黏度 值 . 参 考 文 献 [ 1] SeetharamanS, SichenD, ZhangJY.Computer-basedstudyof multicomponentslagviscosities.JOM, 1999, 51( 8 ):38 [ 2] ShankarA, GornerupM, LahiriAK, etal.Estimationofviscosi￾tyforblastfurnacetypeslags.IronmakingSteelmaking, 2007, 34 ( 6) :477 [ 3] SridharS, SichenD, SeetharamanS, etal.Viscosityestimation modelsforternaryslags.SteelRes, 2001, 72( 1 ) :3 [ 4] KondratievA, HayesPC, JakE.Developmentofaquasi-chemi￾calviscositymodelforfullyliquidslagsintheAl2O3-CaO-`FeO' - MgO-SiO2 system:Part1.Descriptionofthemodelanditsappli￾cationtotheMgO, MgO-SiO2 , Al2O3-MgOandCaO-MgOsub-sys￾tems.ISIJInt, 2006, 46( 3 ):359 [ 5] KondratievA, HayesPC, JakE.Developmentofaquasi-chemi￾calviscositymodelforfullyliquidslagsintheAl2O3-CaO-`FeO' - MgO-SiO2 system:Part2.Areviewoftheexperimentaldataand themodelpredictionsfortheAl2O3 -CaO-MgO, CaO-MgO-SiO2 andAl2 O3 -MgO-SiO2 systems.ISIJInt, 2006, 46 ( 3) :368 [ 6] KondratievA, HayesPC, JakE.Developmentofaquasi-chemi￾calviscositymodelforfullyliquidslagsinthesystem:Part3. SummaryofthemodelpredictionsfortheAl2O3-CaO-MgO-SiO2 systemanditssub-systems.ISIJInt, 2006, 46( 3 ):375 [ 7] KondratievA, HayesPC, JakE.Developmentofaquasi-chemi￾calviscositymodelforfullyliquidslagsintheAl2 O3 -CaO-`FeO' - MgO-SiO2 system:theexperimentaldataforthe` FeO' -MgO￾SiO2 , CaO-`FeO' -MgO-SiO2 andAl2 O3 -CaO-`FeO' -MgO-SiO2 systemsatironsaturation.ISIJInt, 2008, 48 ( 1) :7 [ 8] UrbainG, BoiretM.Slagviscosity:measurementandestimate. RevMetall, 1989, 86 ( 4) :209 [ 9] GayeH, RiboudPV, WelfringerJ.Useofaslagmodeltode￾scribeslag-metalreactionsandprecipitationofinclusions.Iron￾makingSteelmaking, 1988, 15( 6) :319 [ 10] ForsbackaL, HolappaL, IidaT, etal.Experimentalstudyof viscositiesofselectedCaO-MgO-Al2 O3 -SiO2 slagsandapplication oftheIidamodel.ScandJMetall, 2003, 32( 5 ) :273 [ 11] NakamotoM, MiyabayashiY, HolappaL, etal.Amodelfores￾timatingviscositiesofaluminosilicatemeltscontainingalkaliox￾ides.ISIJInt, 2007, 47 ( 10) :1409 [ 12] MillsKC.Influenceofstructureonthephysico-chemicalproper￾tiesofslags.ISIJInt, 1993, 33( 1 ):148 [ 13] MaoYW.MetallurgicalMelt.Beijing:MetallurgicalIndustry Press, 1994 (毛裕文.冶金熔体.北京:冶金工业出版社, 1994 ) [ 14] SouheiS, NoritakaS, KiyoshiK, etal.ViscositiesofCaO-SiO2 - Al2O3-(R2OorRO) melts.ISIJInt, 2006, 46( 3) :7 [ 15] MachinJS, YeeTB, HannaDL.Viscositystudiesofsystem CaO-MgO-Al2 O3 -SiO2:Ⅲ, 35, 45, and50% SiO2.JAmCe￾ramSoc, 1952, 35( 12) :322 [ 16] MillsKC, ChapmanL, FoxAB, etal.`Roundrobin' project ontheestimationofslagviscosities.ScandJMetall, 2001, 30 ( 6 ):396 [ 17] MachinJS, YeeTB.ViscositystudiesofsystemCaO-MgO￾Al2O3-SiO2 :Ⅱ, CaO-Al2O3-SiO2 .JAmCeramSoc, 1948, 31 ( 7 ):200 · 1546·