采用RNG紊流模型计算静止环境中圆形负浮力射流

RNG,(,430072):RNGk2,,RNG:;;;RNG;:O358:A:100126791(2004)0620760205:2003207209;:2003209226:(50279037):(1977-),,,,E2mail:y2z2hua@sohu1com,,,,,,,,Turner[1]Roberts[2]HuaZhang[3];1,,0a,,Cresswell[4]1Fig11Sketchofroundnegativelybuoyantjetinstaticambient,,,,[5]k2,,k2,RNG[6],Cresswell[4],11,D,u0,0,a,,,RNG:55x(ru)+55r(rv)=0(1)x1r55x(ru2)+55r(ruv)=-15p5x+1r55xrvt5u5x+55rrvt5u5r+Tg(2)156200411ADVANCESINWATERSCIENCEVol115,No16Nov.,2004转载(ruv)+55r(rv2)=-15p5r+1r55xrvt5v5x+55rrvt5v5r+vtvr2(3)1r55x(ruT)+55r(rvT)=1r55xrvtPrt5T5x+55rrvtPrt5T5r(4)k1r55x(ruk)+55r(rvk)=1r55xrvtk5k5x+55rrvtk5k5r+Pk+gvtPrt5T5x-(5)1r55x(ru)+55r(rv)=1r55xrvt55x+55rrvt55r+C1kPk-C22k+C1kgvtPrt5T5x(6)vt=Ck2Pk=vt25u5x2+5v5r2+vr2+5u5y+5v5x2(7)2Fig12Calculatingdomainuvxy;k;g;Prt,Prt=01614:C=01085,C2=1168,k=017179,=017179,C1=1142-(1-/0)1+3,=sk/,s=Pk/vt,=4138,=01015:,,21,Cresswell,h,,,:(1)r=0,-(H-h)x0,v=0,55r[u,T,k,]=0(2)x=h,D2rL,u=0,55x[v,T,k,]=0(3),[7]x=0,0rD2,v=0,u=-|umax|r0-rr0n,r0=D2,n,umax,T=T0,k=k0mexp(-117r2),k0m=0106u20,=0mexp(-117r2),0m=0106u30/D(4)(x=-(H-h),0rL),,vpu3=1ln(x+pE),up=0,kp=v23/C,p=v33xp,5T5x=0v3;=014;E,E=910;x+p=u3xp/v,xp(5)r=L,-(H-h)xh,55r[u,v,T,k,]=0(6)r=D/2,0xh,2():525x2+525y2=2A55x+2B55y+G(8)1676:RNG中国科技论文在线(8),,,,[8]3Cresswell[4],1,D=15mm,h=4D,u0=-0113m/s,T0=75,Ta=20,Re=5000,H=L=3xt,xt,14560,,10-4,10-531134,,,,,34,,,Cresswell[4]xt/r0=619,31256,5x/r0=-01667-210-410-610,6x/r0=-011-113-313-5135Cresswell,,r0,u05,,,,5(c)5(d),,,,6(a)6(c)6(d),3137,,,,,,,6(d)26715中国科技论文在线:RNG中国科技论文在线[1]TurnerJS1Jetsandplumeswithnegativeorreversingbuoyancy[J]1FluidMech,1966,26:779-7921[2]RobertsPJW,TomsG1Inclineddensejetsinflowingcurrent[J]1JournalofHydraulicEngineering,1987,113:323-3401[3]HuaZhang,RaoufEBaddour1MaximumpenetrationofverticalrounddensejetsatsmallandlargeFroudenumbers[J]1JournalofHydraulicEngineering,1998,124:550-5531[4]CresswellRW,SzczepuraRT1Experimentalinvestigationintoaturbulentjetwithnegativebuoyancy[J]1PhysFluidsA,1993,5:2665-28781[5],.[M]1:,19971203-219.[6],.RNG[J].,2000,11(4):357-3611[7]ChenCJ,Nikitopoulos1Onthenearfieldcharacteristicsofaxsymmetricturbulentbuoyantjetsinauniformenvironment[J]1InternationalJournalofHeatandMassTransfer,1979,22:1-101[8],.[J].(A),1993,8:595-600.SimulationonthenegativelybuoyantjetinstaticambientbyRNGturbulencemodelXYANGZhong2hua,HUAIWen2xin(StateKeyLaboratoryofWaterResourcesandHydropowerEngineeringScience,WuhanUniversity,Wuhan430072,China)Abstract:Therenormalizationgrop(RNG)basedonthek2turbulencemodelandthehybridfiniteanalyticmethodwithstaggeredgridsisusedtocalculatenegativelybuoyantjetsinstaticambient1Themaximumpenetrationdepth,velocityvectorinthewholefield,thetemperaturecontours,theturbulentkineticenergycontours,thevelocityandtemperaturedistributionsincrosssectionsandtheaxialtemperaturedistributionaregotbysimulation1Thecalculatedresultsarecomparedwellwiththeavailableexperimentaldate,whichshowsthattheRNGbasedonthek2turbulencemodelamdthehybridfiniteanalyticmethodcanbeusedtosimulatethevariationdensityflow1Keywords:negativelybuoyantjets;turbulence;computersimulation;RNGturbulencemodel;hybridfiniteanalyticmethod46715XTheprojectissupportedbytheNationalNaturalScienceFoundationofChina(No.50279037).中国科技论文在线