水下航行器热动力系统固体药柱燃烧模型与仿真

,,,(,710072):,,2,,,Mat2lab,2,:;;;;;:TJ63:A:100021093(2006)0520817206BurningModelandSimulationofSolidIgnitionGrainofThermalPowerUnderwaterVehicleSystemZHANGJin2jun,QIANZhi2bo,YANGJie,YANPing(CollegeofMarine,NorthwesternPolytechnicalUniversity,Xian710072,Shaanxi,China)Abstract:Thestartingcharacteristicsofthermalpowerunderwatervehiclesystemisdeterminedbythegeometry,sizeandburningareaofthesolidignitiongrain,whichhasadirecteffectontheliquidpro2pellantpipelinedesign.Itisofcoursenecessarytoestablishtheaccurateburningmodelsofsolidigni2tiongrain.Basedontheburningmodelsoftwodifferentsolidignitiongrainsandpowderring,thestartingprocessmathematicmodelsofthepowersystemwerebuilt.WiththehelpofMatlabaseriesofimitatingcalculationsweremadefortheeffectsofdifferentgrainsonthestartingprocesscharacteris2tics.Theresultsshowthatend2burninggrainwillgivebetterbehaviortothestartingprocessofthethermalpowerunderwatervehiclesystem.Keywords:thermology;underwatervehicle;solidignitiongrain;burningmodel;startingprocess;thermalpowersystem:2004-11-170,,:,,,[1],Ûmp,;[2]:mp=Apupp,(1)Ap,[3],,27520069ACTAARMAMENTARIIVol.27No.5Sep.2006,,2,,1,,,,,,tst.nsh,,tOTTO,,12Fig.1Theschematicdiagramoftwosolidignitiongrainsandpowderring12:1;22,,;,,0115s,2,,[4]ui(t)pc(t),ui(t)=ui0(pc(t))ni,(2):ui0;ni;iab0,t()si(t)=t0ui(t)dt.(3)1111(c),D0,d0,L0.D0-d04sa(t)L0sa(t),D=D0-2sa(t),d=d0+2sa(t),L=L0-sa(t).(4)3A1=(D2-d2)/4,A2=DL,A3=dL.(5)Aa(t)=A1+A2+A3,Va(t)=A1L.(6)Va=Aa(t)ua(t),ma=Vaa.(7)D0-d04sa(t)L0sa(t),1121(a),,H,2R.2a,2b,2.BAC,281827EBAOG,A,BAACOGM,BA,s1;N,AC,s2;G,,s3.3[5-6]23Fig.2Threestagesofinnerslotcombustionofstar2shapedsolidignitiongrain1:0sb(t)s1,s1AMBAAC1/4,LBAC=b-(a+sb(t))cot2+2sb(t)4+a.(8)2:s1sb(t)s2,s2ANO0x0y0,A,OG(x1,y1),1=arctany1x1,(9)()AC,LBAC=1sb(t)+a.(10)3:s2sb(t)s3,s3AG,(x2,y2),2=arctany1x1-arctany2x2.(11),LBAC=2sb(t).(12)8,Li2/(/2)BACLBAC:Li(t)=4LBAC.(13)Ai(t)=Li(t)(H-sb(t)).(14)A1,A2.A0=8A1+A2.(15)Af(t)=R2-A0-t0Li(t)ub(t)dt.(16)Vb(t)=Af(t)(H-sb(t)),(17)Vb=(Ai(t)+Af(t))ub(t),(18)mb=Vbb.(19)1132,1(b),D0,L1L3,L2,1s,,,,,1:0t1s,s1.D1=D0-2s1,H1=L1,A1=D20/4+D1H1.(20),D2=D0,H2=L2-2s1,A2=0.(21)D3=D0-2s1,H3=L3,A3=D20/4+D3H3.(22)2:t1s,1s,s2=s1-.,D1D3D2,D1D3H2D1D3D2H29185D1D30,(20)(22)D2=D0-2s2,H2=L2-2s1,A2=D2H2.(23)D1D3=0D2H20,(23),A1=A3=4D22.(24)D2H2=0,,Ab(t)=A1+A2+A3,Vb(t)=V1+V2+V3.(25)Vb=Ab(t)ub(t),mb=Vbb.(26)22111)pc[1]:pc=RTcVcmc-pcVcVc,(27)mcTcVc()mi,,,[7];mo,,[8]Rk,p1p4[8]Vc=Va+Vb,(28)Vc=Vc0-Va-Vb,(29)mc=ma+mb+mi-mo.(30)2),,,[8]=(VL22-(L1-Rcos)2)/[(cosL22-(L1-Rcos)2+sin(L1-Rcos))R].(31)3),,,[1-2,7-8]2125:,MatlabRunge2Kuttaode45,,2,3:nsh,;OTTOtOTTO;3tsw;tp,(),,,(6)(7);0.,0,(30)mo0,(31)0.ttOTTO,mi0.ttst+tsw,OTTO;ttst+tsw3ttst+tp,0.3,OTTO,3HAP+OTTO+H2O.15kn/50m,36kn/50m,nst=5r/s,tsw=15s,tp=20s.tOTTO313s111s.32,01018s,0117s,5142s,1813MPa.,010176s,0117s,1178s,028274310MPa.32Fig.3Thecurvediagramoftorpedostartingprocessusingtwodifferentsolidignitiongrains3,11117s,,;23130s,OTTO;35142s,3,123OTTO2,21110s,OT2TO;21178s,2,1,2OTTO,,,,,,;,,,1s,[9],,,[10],2,t1=111s,t2=313st1[2]t=210s,,,,;,,[3],,,(),,,,41)2),,3),,,,(References)[1],.[J].,1999,(3):53-56.XIAJun,ZHAZhi2wu.Thestartingprocessmathematicmodelofthethermalpowerunderwatervehicle[J].ShipEngineering,1999,(3):53-56.(inChinese)[2].[J].,1996,(2):38-43.JIJun.Simulationofthestartingprocessfortorpedothermalpowersystemonthestandtestundertheusualbackingpressure[J].ShipScienceandTechnology,1996,(2):38-43.(inChinese)[3].[M].:,1984:70-140.WANGYuan2you.Thedesignofthesolidrocketmotor[M].Beijing:NationalDefenseIndustryPress,1984:70-140.(inChinese)[4]JacquesL,RouxJ.Computeraidedpreliminarydesignofsolidrocketmotors[C]19thAIAA/SAE/ASMEJointPropulsionConference.Seattle:AIAA,1983:83-1254.[5],,.[J].,1996,17(6):33-38.CHENBu2xue,WANGLing2yan,WUXin2ping.Studyongraphicdisplayofburningsurfaceregressionforstarperforationgrain[J].JournalofPropulsionTechnology,1996,17(6):33-38.(inChinese)[6]RoyJHartfield,JohnEBurkhalter,RhonaldMJenkins.Analyt21285icaldevelopmentofaslottedgrainsolidrocketmotor[C]38thAIAA/ASME/SAE/ASEEJointPropulsionConference&Ex2hibit.Indianapolis:AIAA,2002:2002-4298.[7],,.[J].,2002,(2):28-31.SUYing,WANGYu2cai,KANGFeng2ju.Researchofconfigu2rationvariablecontrolleranditssimulationforpropulsionsystemofthermalpowerunderwatervehicle[J].ShipEngineering,2002,(2):28-31.(inChinese)[8],,.[J].,2000,19(5):701-702.ZHAOYin2sheng,QIANZhi2bo,HUYu2li.Forecastandtheo2reticalanalysisofheatpowersystemfunctionparameters[J].Me2chanicalScienceandTechnology,2000,19(5):701-702.(inChinese)[9].[J].,2000,23(2):12-15.XIAZhi2quan.Severalproblemsforend2burningsolidmotorde2velopment[J].JournalofSolidRocketTechnology,2000,23(2):12-15.(inChinese)[10]SanalKumarVR,UnnikrishnanC.Ignitiondelayandunsteadytemperatureeffectsonignitionpeakofsolidrockets[C]38thAIAA/ASME/SAE/ASEEJointPropulsionConference&Ex2hibit.Indianapolis:AIAA,2002:2002-3754.22827