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Università degli studi di Roma “Tor Vergata” Ente Nazionale Energia e Ambiente CFD Analysis of Loss Of Vacuum Accident for Safety Applica:on in Experimental Fusion Facility C.Bellecci 1 , P.Gaudio 1 , I.Lupelli 1 , A.Malizia 1 , M.T.Porfiri 2 ,R.Quaranta 1 , M.Riche@a 1 1EURATOM‐Faculty of Engineering, University of Rome “Tor Vergata”; Via del Politecnico 1, 00133 Rome, Italy 2ENEA Nuclear Fusion Technologies, Via Enrico Fermi , 45 I‐00044 FrascaU, Italy LOVA in ITER The aim of the fusion research is to develop a prototype fusion power plant that is safe and reliable, environmentally responsible and economically viable. ITER will be the world's largest experimental facility that aims to demonstrate the scienUfic and technical feasibility of fusion power. In a fusion experimental reactor the dust is generated during normal machine operaUons and by macroscopic erosion of the plasma facing materials due to intense thermal loads that occur during Edge Localized Modes (ELMs), plasma disrupUons (PD) and VerUcal Displacement Events (VDEs). This dust, mainly accumulated closeness the divertor zone, can be mobilized outside the Vacuum Vessel (VV) in case of LOVA threatening public safety because it may contain triUum, may be radioacUve and may be chemically reacUve and/or toxic. A LOVA is a Design Basis Accident (DBA) event in fusion reactors [1]. Several studies on fundamental phenomena have been carried out in order to invesUgate the features of LOVA events both for the wet and dry case [2,3,4,5,6,7] and also reference events for ITER were postulated [8]. One of the main issue is to develop methods of computaUonal analysis for the accident scenarios. An experimental facility, STARDUST, has been developed and uUlized to validate new computaUonal models capable of predicUng the flow field for dust resuspension and transport in fusion reactor LOVA scenarios. STARDUST Descrip:on STARDUST is a stainless steel horizontal cylinder (internal volume 0.17 m3) closed by two lids [10] (Fig 1). STARDUST is equipped with an automaUc data acquisiUon system that allows the control of internal pressure, wall temperature and air flow inlet in order to carry out the experiments at the desired iniUal condiUons (see table 2). When the iniUal condiUons are reached the control system opens the flow meter inlet valve and then the air flows inside the tank with a flow rate of 27 l/min in order to achieve a pressurizaUon rate of 300 Pa/s typical in the ITER LOVA reference events (EX_A). In order to test the CFD model by analyUcal and experimental comparisons an experiment is being performed in which the ingress occurs by pressure difference between the atmospheric condiUon and the internal condiUon of the tank (EX_B) without an inlet flow rate imposed. Air inlet simulates the loss of vacuum event . The air flow passes through two valves posiUoned in the back lid respecUvely at the middle of the tank, if an equatorial port failure occurs (A), and at the bo@om of the tank (B), if a divertor port failure occurs [10,11,12,13,14]. The experiments have been carried out introducing a semi cylindrical obstacle made of stainless steel, which simulates the presence of structures, in parUcular the divertor, inside the ITER VV [13,14] . In order to take into account the influence of the space between limiter and divertor, as in the VV of ITER, a slit has been realized on the obstacle (Fig 2). In the experimental campaign has been evaluated punctual flow velocity values, at 20cm from the inlet secUon, obtained in two different internal condiUons: 1)Experiments without obstacle (VA_WO for A inlet and VB_WO for B inlet valve); 2)Experiments with obstacle, in order to understand be@er the influence of structures (like divertor) present inside STARDUST facility (VA_O and VB_O); The pressure transducer measures the difference of pressure (PΔ) between a pressure reference tube (staUc pressure Ps) and the pressure measured by the head of sensor (total pressure Pt). When the iniUal condiUons inside the tank have been reached the controller allows the acquisiUon. For the calculaUon of velocity magnitude the equaUon (1) has been used where γ is the raUo of the specific heat of the fluid at constant pressure to the specific heat of the fluid at constant volume, R is the universal gas constant, Tmean is mean temperature measured by internal thermocouples and M is the air molecular mass. The pressurizaUon rate is measured at the top of the chamber with a Pirani sensor. Figure 1: STARDUST facility Figure 2: Obstacle Table 1: Inlet and internal condiUons Table 2: CondiUon and vessel fill Umes Vessel Filling Analysis A closed form soluUon for pressure vs. Ume (tr) can be obtained under the following simplifying assumpUons: •Ideal gas with constant specific heat •Zero velocity and spaUally uniform properUes in the vessel •Isentropic flow through the constant area inlet •AdiabaUc or isothermal behavior depending on the length of transient Flow is iniUally choked since the pressure is below the criUcal value. The Ume to reach the criUcal pressure and the pressurizaUon rate for choked and unchoked soluUon for the isothermal (I) and adiabaUc (A) case are ( Pr,i is the iniUal pressure)[2]: IniUal (i) and final (f) pressure (p) and temperature (T), characterisUc Ume (Tchar which is given in terms of the vessel volume V, inlet cross secUonal area A, and sound speed based on the temperature of the surroundings c, tchar=V/Ac ), Ume (Tc) to reach criUcal pressure and the filling Ume for the STARDUST facility are shown in Table 2. Model Descrip:on SimulaUon of the thermal and flow fields into STARDUST has been carried on, with COMSOL MulUphysics® (CM). The implemented model is based on the fully compressible formulaUon of the conUnuity equaUon and momentum equaUons and on conducUon/convenUon equaUons ρ : density (kg/m3) u : velocity vector (m/s) p : pressure (Pa) η : dynamic viscosity (Pa∙s) F : body force vector (N/m3) Cp : is the specific heat capacity at constant pressure (J/(kg∙K)) T : absolute temperature (K) q : heat flux by conducUon (W/m2) τ: viscous stress tensor (Pa) S : strain rate tensor (1/s): Q : contains heat sources other than viscous heaUng (W/m3) h: heat transfer coefficient (W/(m2∙K)). Results A secUon of the tank for all experimental configuraUons characterizing the flow field is shown in figures 3 4 5 and 6. The model matches closely the experimental data with a slightly faster fill Ume (fig 7 and 8). SimulaUons and experiments showed that the presence of an obstacle in STARDUST influences the dust’s mobilizaUon solely in case of leakage at divertor ports level (valve B). This result matches with experiments done in 2007 experimental campaign [13,14] in which we have measured the quanUty of dust resuspended in case of LOVA. The percentage of dust resuspended, that simulates a LOVA at divertor level is lower in case of obstacle inside the chamber [13,14]. These results match with experimental and numerical results obtained in the current work. In fact the velocity values measured without obstacle (VB_WO) are higher than velocity values measured with obstacle (VB_O). Conclusion Comsol models for short transients (~ 1,5 s) have given reasonable results. Future work will focus on obtaining accurate results for longer transients, resolving flow features such as shocks and boundary layers, implemenUng of dust resuspension models, improving mesh and geometry impact on cpu Ume, including turbulence model behavior. The dust resuspension models include most of the transport phenomena relevant for ITER. The 3D numerical code describing the dust mobilizaUon in STARDUST facility will be improved by means of COMSOL sozware and comparison will be made with experimental data acquired during 2007, in order to validate the model. Then the same model will be adapted to a toroidal shape and an opUcal diagnosUc for measurement of dust mobilizaUon evoluUon will be chosen and studied. The results will be useful for the design of opUcal ports in a new experimental facility with a geometrical shape similar to ITER foreseen to be realized. REFERENCES [0]F.Frediani,“Dust Resuspension Tests in the STARDUST Facility: Experimental and CFD Analysis”, M. Thesis Pisa University, (2008). [1]H.‐W. Bartels et al., ITER Reference Accidents, Fusion Eng. Des. 42 13, (1998) [2]J. P. Sharpe and P. W. Humrickhouse, Dust MobilizaEon Studies in the TDMX Facility, Fusion Eng. Des 81 8, (2006) [3]T. Kunugi, Y. Seki, Fusion safety research and developmenEn JAERI, J. Fusion Energy 16 181, (1997) [4]K.Takase, et al., Exchange flow characterisEcs in a tokamak vacuum vessel fusion reactor under the loss‐of vacuum condiEons, J. Fusion Energy 16 189, (1997) [[5]K.Takase et al., Temperature distribuEons and pressure waves in a tokamak vacuum vessel of fusion reactor aNer the loss of vacuum events occurred, Fusion Eng. Des. 42 83, (1998) [6]J.M. Gay et al., Response of ITER to loss of vacuum accidents, Fusion Eng. Des. 42 89, (1998) [7]W.E. Han, Extended monodisperse aerosol modeling for fusion power plant containment, Fusion Eng. Des. 42 127, (1998) [8]D.A. Pe~, et al., Safety analysis results for ITER invessel loss of coolant events, J. Fusion Energy 16 125, (1997) [9]T. Honda, H.‐W. Bartels , B. Merrill , T. Inabe, D. Pe~ , R. Moore , T. Okazaki, Analyses of loss of vacuum accident (LOVA) in ITER, Fusion Engineering and Design 47 361–375, (2000) [10]M. T. Porfiri, S. Libera, F. Parozzi, P. Rocce~, A. Vannozzi, L. Verdini, StarDust experiment : set up of the facility for the dust mobilizaUon, ENEA Frasca:, Italy FUS‐TN‐SA‐SE‐R‐75, (2003). [11]S. Paci, N. Forgione, F. Parozzi, M.T. Porfiri, Bases for dust mobilizaEon modelling in the light of Stardust Experiments, Nuclear Engineering and Design 235, (2005) [12]M.T. Porfiri, N. Forgione, S. Paci, A. Rufoloni, Dust mobilizaEon experiments in the context of the fusion plants—StarDust facility, Fusion Engineering and Design 81, (2006). [13]C. Bellecci, P. Gaudio, I.Lupelli, A.Malizia, M.T.Porfiri, M. Riche@a. Dust mobilizaEon and transport measures in the STARDUST facility, EPS2008 Proceedings, 35th EPS Conference on Plasma Phys. Hersonissos, 9 ‐ 13 June 2008 ECA Vol.32 P‐1.175, (2008). [14]C. Bellecci, P. Gaudio, I. Lupelli, A. Malizia, M.T. Porfiri, M. Riche@a. Misure di mobilizzazione e trasporto nella facility STARDUST, SIF(Società Italiana di Fisica) , XCIV Na:onal Congress, September 2008; Sec:on V – Fisica Applicata, (2008) Figure 3: Flow field VA_WO Figure 4: Flow field VA_O Figure 5: Flow field VB_WO 6: Flow field VB_O 7: Velocity@20cm from inlet Figure 8: Pressure vs. Time Università di Roma “Tor Vergata” Dipartimento di Ingegneria dell’Impresa Via del Politecnico 1 00133 Roma Tel +39 06 7259 7201 E-mail: [email protected] Presented at the COMSOL Conference 2009 Milan

CFD Analysis of Loss Of Vacuum Accident for Safety ... · Via del Politecnico 1 00133 Roma Tel +39 06 7259 7201 E-mail: [email protected]

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Page 1: CFD Analysis of Loss Of Vacuum Accident for Safety ... · Via del Politecnico 1 00133 Roma Tel +39 06 7259 7201 E-mail: bellecci@uniroma2.it

Università degli studi di Roma “Tor Vergata”

Ente Nazionale Energia e Ambiente

CFDAnalysisofLossOfVacuumAccidentforSafetyApplica:oninExperimentalFusionFacility

C.Bellecci1,P.Gaudio1,I.Lupelli1,A.Malizia1,M.T.Porfiri2,R.Quaranta1,M.Riche@a11EURATOM‐FacultyofEngineering,UniversityofRome“TorVergata”;ViadelPolitecnico1,00133Rome,Italy

2ENEANuclearFusionTechnologies,ViaEnricoFermi,45I‐00044FrascaU,Italy

LOVAinITERTheaimofthefusionresearchistodevelopaprototypefusionpowerplantthatissafeandreliable,environmentallyresponsibleandeconomicallyviable.ITERwillbetheworld'slargestexperimentalfacilitythataimstodemonstratethescienUficandtechnicalfeasibilityoffusionpower.InafusionexperimentalreactorthedustisgeneratedduringnormalmachineoperaUonsandbymacroscopicerosionoftheplasmafacingmaterialsduetointensethermalloadsthatoccurduringEdgeLocalizedModes(ELMs),plasmadisrupUons(PD)andVerUcalDisplacementEvents(VDEs).Thisdust,mainlyaccumulatedclosenessthedivertorzone,canbemobilizedoutsidetheVacuumVessel(VV)incaseofLOVAthreateningpublicsafetybecauseitmaycontaintriUum,mayberadioacUveandmaybechemicallyreacUveand/ortoxic.ALOVAisa Design Basis Accident (DBA) event in fusion reactors [1]. Several studies on fundamental phenomena have beencarried out in order to invesUgate the features of LOVA events both for thewet and dry case [2,3,4,5,6,7] and alsoreferenceeventsforITERwerepostulated[8].OneofthemainissueistodevelopmethodsofcomputaUonalanalysisfor the accident scenarios. An experimental facility, STARDUST, has been developed and uUlized to validate newcomputaUonalmodelscapableofpredicUngtheflowfieldfordustresuspensionandtransport infusionreactorLOVAscenarios.

STARDUSTDescrip:onSTARDUSTisastainlesssteelhorizontalcylinder(internalvolume0.17m3)closedbytwolids[10](Fig1).STARDUSTisequippedwithanautomaUcdataacquisiUonsystemthatallowsthecontrolofinternalpressure,walltemperatureandair flow inlet in order to carry out the experiments at the desired iniUal condiUons (see table 2).When the iniUalcondiUonsarereachedthecontrolsystemopenstheflowmeterinletvalveandthentheairflowsinsidethetankwithaflowrateof27 l/min inorder toachieveapressurizaUon rateof300Pa/s typical in the ITERLOVAreferenceevents(EX_A).InordertotesttheCFDmodelbyanalyUcalandexperimentalcomparisonsanexperimentisbeingperformedinwhichtheingressoccursbypressuredifferencebetweentheatmosphericcondiUonandtheinternalcondiUonofthetank (EX_B)withoutan inletflowrate imposed. Air inlet simulates the lossof vacuumevent . TheairflowpassesthroughtwovalvesposiUonedinthebacklidrespecUvelyatthemiddleofthetank,ifanequatorialportfailureoccurs(A),andat thebo@omof the tank (B), if adivertorport failureoccurs [10,11,12,13,14].Theexperimentshavebeencarriedoutintroducingasemicylindricalobstaclemadeofstainlesssteel,whichsimulatesthepresenceofstructures,inparUcularthedivertor,insidetheITERVV[13,14].Inordertotakeintoaccounttheinfluenceofthespacebetweenlimiteranddivertor,asintheVVofITER,aslithasbeenrealizedontheobstacle(Fig2).Intheexperimentalcampaignhasbeenevaluatedpunctualflowvelocity values, at 20cm from the inlet secUon,obtained in twodifferent internalcondiUons: 1)Experimentswithoutobstacle (VA_WO forA inlet andVB_WO forB inlet valve); 2)Experimentswithobstacle,inordertounderstandbe@ertheinfluenceofstructures(likedivertor)presentinsideSTARDUSTfacility(VA_OandVB_O);Thepressuretransducermeasuresthedifferenceofpressure(PΔ)betweenapressurereferencetube(staUcpressurePs)andthepressuremeasuredbytheheadofsensor(totalpressurePt).WhentheiniUalcondiUonsinsidethetankhavebeenreachedthecontrollerallowstheacquisiUon.ForthecalculaUonofvelocitymagnitudetheequaUon(1)

hasbeenusedwhereγistheraUoofthespecificheatofthefluidatconstantpressuretothespecificheatofthefluidatconstantvolume,Ristheuniversalgasconstant,TmeanismeantemperaturemeasuredbyinternalthermocouplesandMistheairmolecularmass.ThepressurizaUonrateismeasuredatthetopofthechamberwithaPiranisensor.

Figure1:STARDUSTfacility Figure2:Obstacle

Table1:InletandinternalcondiUons Table2:CondiUonandvesselfillUmes

VesselFillingAnalysisAclosedformsoluUonforpressurevs.Ume(tr)canbeobtainedunderthefollowingsimplifyingassumpUons:• Idealgaswithconstantspecificheat• Zero velocity and spaUally uniform properUes in thevessel• Isentropicflowthroughtheconstantareainlet• AdiabaUc or isothermal behavior depending on thelengthoftransientFlow is iniUally choked since thepressure is below thecriUcalvalue.TheUmetoreachthecriUcalpressureandthe pressurizaUon rate for choked and unchokedsoluUonfortheisothermal(I)andadiabaUc(A)caseare(Pr,iistheiniUalpressure)[2]:

IniUal (i)andfinal (f)pressure (p)and temperature (T),characterisUcUme(TcharwhichisgivenintermsofthevesselvolumeV,inletcrosssecUonalareaA,andsoundspeedbasedonthetemperatureofthesurroundingsc,tchar=V/Ac),Ume(Tc)toreachcriUcalpressureandthefillingUmefortheSTARDUSTfacilityareshowninTable2.

ModelDescrip:onSimulaUonofthethermalandflowfields intoSTARDUSThasbeencarriedon,withCOMSOLMulUphysics®(CM).Theimplemented model is based on the fully compressible formulaUon of the conUnuity equaUon and momentumequaUonsandonconducUon/convenUonequaUons

ρ:density(kg/m3)u:velocityvector(m/s)p:pressure(Pa)η:dynamicviscosity(Pa∙s)F:bodyforcevector(N/m3)

Cp:isthespecificheatcapacityatconstantpressure(J/(kg∙K))T:absolutetemperature(K)q:heatfluxbyconducUon(W/m2)τ:viscousstresstensor(Pa)S:strainratetensor(1/s):Q:containsheatsourcesotherthanviscousheaUng(W/m3)h:heattransfercoefficient(W/(m2∙K)).

ResultsA secUon of the tank for all experimentalconfiguraUonscharacterizingtheflowfieldisshowninfigures345and6.ThemodelmatchescloselytheexperimentaldatawithaslightlyfasterfillUme(fig7and8).SimulaUonsandexperimentsshowedthatthepresenceofanobstaclein STARDUST influences thedust’smobilizaUon solelyincaseofleakageatdivertorportslevel(valveB).Thisresult matches with experiments done in 2007experimental campaign [13,14] in which we havemeasuredthequanUtyofdustresuspendedincaseofLOVA. The percentage of dust resuspended, thatsimulates a LOVAat divertor level is lower in caseofobstacle inside the chamber [13,14]. These resultsmatch with experimental and numerical resultsobtained in the current work. In fact the velocityvaluesmeasuredwithoutobstacle(VB_WO)arehigherthanvelocityvaluesmeasuredwithobstacle(VB_O).

ConclusionComsolmodelsforshorttransients(~1,5s)havegivenreasonableresults.Futureworkwillfocusonobtainingaccurateresults for longer transients, resolving flow features such as shocks and boundary layers, implemenUng of dustresuspensionmodels, improvingmesh and geometry impact on cpuUme, including turbulencemodel behavior. Thedust resuspension models include most of the transport phenomena relevant for ITER. The 3D numerical codedescribingthedustmobilizaUoninSTARDUSTfacilitywillbeimprovedbymeansofCOMSOLsozwareandcomparisonwillbemadewithexperimentaldataacquiredduring2007,inordertovalidatethemodel.ThenthesamemodelwillbeadaptedtoatoroidalshapeandanopUcaldiagnosUcformeasurementofdustmobilizaUonevoluUonwillbechosenandstudied.TheresultswillbeusefulforthedesignofopUcalportsinanewexperimentalfacilitywithageometricalshapesimilartoITERforeseentoberealized.

REFERENCES [0]F.Frediani,“DustResuspensionTestsintheSTARDUSTFacility:ExperimentalandCFDAnalysis”,M.ThesisPisaUniversity,(2008).[1]H.‐W.Bartelsetal.,ITERReferenceAccidents,FusionEng.Des.4213,(1998)[2]J.P.SharpeandP.W.Humrickhouse,DustMobilizaEonStudiesintheTDMXFacility,FusionEng.Des818,(2006)[3]T.Kunugi,Y.Seki,FusionsafetyresearchanddevelopmenEnJAERI,J.FusionEnergy16181,(1997)[4]K.Takase,etal.,ExchangeflowcharacterisEcsinatokamakvacuumvesselfusionreactorundertheloss‐ofvacuumcondiEons,J.FusionEnergy16189,(1997)[[5]K.Takaseetal.,TemperaturedistribuEonsandpressurewavesinatokamakvacuumvesseloffusionreactoraNerthelossofvacuumeventsoccurred,FusionEng.Des.4283,(1998)[6]J.M.Gayetal.,ResponseofITERtolossofvacuumaccidents,FusionEng.Des.4289,(1998)[7]W.E.Han,Extendedmonodisperseaerosolmodelingforfusionpowerplantcontainment,FusionEng.Des.42127,(1998)

[8]D.A.Pe~,etal.,SafetyanalysisresultsforITERinvessellossofcoolantevents,J.FusionEnergy16125,(1997)[9]T.Honda,H.‐W.Bartels,B.Merrill,T.Inabe,D.Pe~,R.Moore,T.Okazaki,Analysesoflossofvacuumaccident(LOVA)inITER,FusionEngineeringandDesign47361–375,(2000)[10]M.T.Porfiri,S.Libera,F.Parozzi,P.Rocce~,A.Vannozzi,L.Verdini,StarDustexperiment:setupofthefacilityforthedustmobilizaUon,ENEAFrasca:,ItalyFUS‐TN‐SA‐SE‐R‐75,(2003).[11]S.Paci,N.Forgione,F.Parozzi,M.T.Porfiri,BasesfordustmobilizaEonmodellinginthelightofStardustExperiments,NuclearEngineeringandDesign235,(2005)[12]M.T.Porfiri,N.Forgione,S.Paci,A.Rufoloni,DustmobilizaEonexperimentsinthecontextofthefusionplants—StarDustfacility,FusionEngineeringandDesign81,(2006).[13]C.Bellecci,P.Gaudio,I.Lupelli,A.Malizia,M.T.Porfiri,M.Riche@a.DustmobilizaEonandtransportmeasuresintheSTARDUSTfacility,EPS2008Proceedings,35thEPSConferenceonPlasmaPhys.Hersonissos,9‐13June2008ECAVol.32P‐1.175,(2008).[14]C.Bellecci,P.Gaudio,I.Lupelli,A.Malizia,M.T.Porfiri,[email protected],SIF(SocietàItalianadiFisica),XCIVNa:onalCongress,September2008;Sec:onV–FisicaApplicata,(2008)

Figure3:FlowfieldVA_WO Figure4:FlowfieldVA_O Figure5:FlowfieldVB_WO 6:FlowfieldVB_O 7:Velocity@20cmfrominlet Figure8:Pressurevs.Time

Università di Roma “Tor Vergata” Dipartimento di Ingegneria dell’Impresa Via del Politecnico 1 00133 Roma Tel +39 06 7259 7201 E-mail: [email protected]

Presented at the COMSOL Conference 2009 Milan

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