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,,,(,110004):3,,:;;:TG33515:A:1003-9996(2003)06-0025-05DiscussiononmathematicalmodelsoflaminarcoolingsystemusedinhotstripmillPENGLiang2gui,YUMing,WANGZhao2dong,LIUXiang2hua(TheStatekeyLab1ofRollingandAutomationofNortheasternUniversity,Shenyang110004,China)Abstract:Afewmathematicalmodelsoflaminarcoolingofhotstripmillareintroducedwhichhavebeenstudiedandanalyzedaccordingtotheprinciplescontentsandcharacteristics1Meanwhilesomeproblemsofthemathematicalmodelsarediscussedanditsdevelopmentislookedforwardtoo1Keywords:laminarcooling;mathematicalmodel;hotrolledstrip:2003-01-16:(1975-),(),,,,TRIP(),;,,,3[1]1ANSALDOINDUSTRIA[2]111ANSALDO():cpdTdt=ddx(dTdx)(1),,kg/m3;cp,J/(kgK);,W/(mK);T,;t,s;x112,,,:t=1Kln(T0-TaT-Ta)(2)K=1+12Cph2(3)=h6(4)=B01277(1060-T)W0135ap(5)=Hc+(Tk+Tka)(T2k+T2ka)(6)52Hc=2115(T-Ta)0125(7),t,s;T0;K;Ta(),;T,;h,m;,W/(m2K);B;Wap,L/(m2min);Hc,W/(m2K);,W/(m2K4);;Tk,K;Tka,K113ANSALDO,,,,,2SIMENS1700mm2050mm[3,4,7]211SIMENS:dtd=Ûc,-ÛV=AHc(t-t):cpVdtd=-HcA(t-tw)(8)():t=tw+(t0-tw)exp(-Hccph)(9),Û;;cp;Hc;V;A;;t;tw;h,Hc,212SIMENS,,,:t2=tw+(t1-tw)exp(-p)(10),;p:p=ah2q2(11),a;q,:ctgq=q2-(h/)12q(h/)(1+2)(12),;1;2p:p=a1(1+2)F+hK1hK2(13),a;h;;1,2;F;K1,K2213SIMENS,,,p,,3GEGE1700mm311GE,(),,,,:Qi=ddtUi(14),,:Qi=cpViddtTi(15):62Vol120No16SteelRollingDec120031ti0Qidt=ti1ti0cpVidTi(16),Qi;Ui;tii;ti0ti1i;Tii,:Ti=QicpVit(17),3312(1),:Qii+1=Aii+1(Ti-Ti+1)d(18),Qii+1ii+1;;Aii+1ii+1;Tii;dii+1(2),-:Qpiece=piece(T4surround2T4surf)(19),piece;Tsurround;Tsurf(3),:Qp=-hAw(Tsurf-Tw)(20),Qp;h;Aw;Tsurf;Tw313GE,,,,4[3]411:N=f(H,V,T,T)(21),f;H;V;T;T,,,412:N={Pi+Ri(V-Vi)+[1(FDTR-FDT0)-(CT-CTR)]HFVQsec}2(22),CT,;CTR,;FDTR,;FDT0FDT,;HF,mm;V;Vi,;Pi(Vi,FDT0,HF),HF:Pi=AiHF+Bi,AiBi;Ri,:Ri=CiHF+Di,CiDi;Qsec,;1;2413,51580mm[5]511(1),:722062003122(T4a-T4s)dt=cphdTs(23),;;;cp;h;Ts;TaTsmTa,T4a,:dTsT4s=-2cphdt(24)t1t2,Ts1Ts2,:Ts2=1T3s1+6cph(t2-t1)-13(25)(25),,,,:Ts2=1T3s1+6Bcph(t2-t1)-13(26),B=aairh+bair,aairbair,(2),,,,Q,:Qdt=cphdTs(27),Q,t1t2,:Ts=Qcph(t2-t1)(28)(28),,512(1)B=aairHF+bair(29)AX=2Bcp(30)CTair=133AXHF/1000TIME+1(FDT+K)3-K(31),CTair;B;;,kg/m3;cp,kJ/kg;HF,mm;FDT,;TIMEFDTCT,s;CTair,(2)KW=1-(210E-3)TW,TW;KWf0f0=f1(c0+c1HF+c2WF+c3FDT+c4CT+c5TW+c6V+c7(FDT-CT)+c8ll0V(32),C0C8;f1(),f1=f11f12,;HF,mm;WF,mm;FDT,;CT,;V,m/s;ll0,m;f0QDQDQD=f0f2KWaNN0(1-(51371E-7)V)(33)QD=f0f2KWaNN0(34),f0;f2f2;KW;aa;V,m/s;QD,QD,kJ/(m2h);N,N;N0N0QXQXD=QD+QD(35),QD;QD;QXD,51382Vol120No16SteelRollingDec120031,,,,,,1549mm[68],,()(),6,:(1);(2)1;(3),,,,,,,,12,,,2:,,,,,;,,,:[1],.[M].:,1998.[2].[J].,1996,17(4):70-74.[3].[J].,2000,(4):35-38.[4],.[J].,1998,(5):33-36.[5],.[J].,2001,3(4):259-262.[6],,.[J].,1994,16():23-27.[7],.[J].,1999,(4):17-20.[8],,.[J].,1994,16(4):387-391.JFEJFE40t1000t1JFEJFE(51%)(49%)JFE117200312,60km,20064JFE,,JFE,,MetalBulletin,2003,(9),30,2005,140t,200t,2060USSR50t,,,CheungKongHoldingsCo1MetalBulletin,2003,(7)92206200312