Seismicfluid-structureinteractioninadvancedreactors
ChingchingYu,FaizanMir,AndrewWhittakerUniversityatBuffalo
MichaelCohenTerraPower
JustinColemanIdahoNationalLaboratory
PhilippeBardetGeorgeWashingtonUniversity
Outline
• Introduction• SeismicFSImodels• Response-historyanalysisoftestspecimen• Futurework• Summaryandconclusions
DOENPHMeeting;October23and24,2018
Introduction
• Liquidmetalreactors• Liquidmetalsasthefluid• Verifiedandvalidatednumericalmodels
Gluekler(1997)
DOENPHMeeting;October23and24,2018
Load-cell
Supporting frame
Reactor vessel
Earthquake simulator
Load cell
Supporting frame
Test vessel
Introduction
• Numericalmodelsofliquidmetalreactors• Three-directionalseismicmotions• VerifiedusinganalyticalsolutionsofFSIresponse• Tobevalidatedusingdatafromearthquakesimulatortestsona1/10scalemodelinQ1andQ22019
2 m
1.6 m
269ft.
381ft.
269ft.
381ft.
82 m 116 m
Node 1
Node 1
RC containment
RV support
1/10scalemodelofreactorvessel
Nuclearbuildingandreactorvessel
1.SolversinLS-DYNA(2017)
ALEmodel ICFDmodel
Eulerianfluiddomain
AdaptedLagrangianfluidmesh
Numericalmodels,reactorvessel
• Arbitrary-Lagrangian-Eulerian(ALE)formulation1
• Incompressiblecomputationalfluiddynamics(ICFD)formulation1
DOENPHMeeting;October23and24,2018
Analyticalsolutions
• Base-supportedtank• Jacobsen(1949),Housner(1957),ChalhoubandKelly(1988),Veletsos(1984),etc.
• Head-supportedtank(reactorvessel)• MethodofanalysismodifiedfromVeletsos(1984)
Base-supportedtank Head-supportedtank
Analyticalsolutions
• Impulsive:fluidaccelerateswithcontainingtank• Fluidboundarymoveswiththewalloftank• Pressureontheoriginalfreesurfaceiszero
• Convective:fluidisfreetoslosh• Pressuregeneratedbythefluidwaveisconsidered
Convective
Impulsive
Orig.freesurface
DOENPHMeeting;October23and24,2018
Basesupported,ICFDverification
• Input:a(t)=a0sin(2πft)inX-direction• a0=0.1g,f=20Hz,duration=0.5sec
• Output:max.pressureonthewalloftank• Rigidtank:peakpressure• Flexibletank:peakpressureinsteady-state
1.6m
2m
Fluidheightof0.6m Fluidheightof1.2m Fluidheightof1.8m
Thickness:5mm
Basesupported,ICFDverification
• Rigidtank• ICFD:solidlines• Analyticalsolution(Veletsos1984):dashedlines
Basesupported,ICFDverification
• Flexibletank• Veletsossolutionextendedto8modes
Fluidheightof0.6m Fluidheightof1.8m
Basesupported,ICFDverification
• Flexibletank• Veletsossolutionextendedto8modesFluidheightof0.6m Fluidheightof1.8m
ICFD ALE
Headsupported,ICFDverification
• FlexibletankFluidheightof0.6m Fluidheightof1.8m
FSImodels,internalcomponents
• Testspecimen:aluminumpipes• 1large(D:302mm,L:1.4m):upperinternalstructure• 6medium(D:165mm,L:1.1m):primarysodiumpump• 4small(D:535mm,L:0.8m):directheatexchanger
SideviewTopview
Internalcomponentsandfluid
Waterbetweentwopipes
Internals,ICFDverification
• AnalyticalsolutionfromChungandChen(1977)• Twoconcentricpipeswithwaterinbetween1.Uncoupled:flexibleouter+rigidinner2.Uncoupled:rigidouter+flexibleinner3.Coupled:flexibleouter+flexibleinner
Modalfrequency
(Hz)
Case1 Case2 Case3
outer inner in-phase1 out-of-phase1
Analytical 61 40 87 36
ICFD 63 43 87 38
1.Coupledvibrationoftheinnerandouterpipesin-phase out-of-phase
RHAoftestarticle
• Inputgroundmotiontimeseries• ResponsesatRVsupport,X,Y,andZ-directions• Amplitude=2g• Timescale=1/
• Originalfluidheight=1.2m
WithcentralinternalWithoutcentralinternal
Fluiddepth(mm) Fluiddepth(mm)
10
RHAoftestarticle
WithcentralinternalWithoutcentralinternal
Pressure(mN/mm2) Pressure(mN/mm2)
• Inputgroundmotiontimeseries• ResponsesatRVsupport,X,Y,andZ-directions• Amplitude=2g• Timescale=1/
• Originalfluidheight=1.2m
10
RHAoftestarticle
• Centralinternal• Insignificantchangetopressureontankwall
• Designandqualificationofinternals
+x-x
w/ internal, +x w/ internal, -x
w/o internal, +x w/o internal, -x
t=4sec
RHAoftestarticle
• Inputgroundmotiontimeseries• ResponsesatRVsupport,X,Y,andZ-directions• Amplitude=2g• Timescale=1/
• Originalfluidheight=1.8m
10
+x
+xaxis+xaxis
RHAoftestarticle
• Inputgroundmotiontimeseries• 4setsthree-componentmotions• Amplitude=2g• Timescale=1/
• Originalfluidheight=1.8m
10
Upper250mmofthevessel Lower350mmofthevessel
VMstress(kPa)
Futurework
• Earthquakesimulatortests• 1/10scalemodelofaprototype,waterasfluid• Includescentralandoff-centerinternalcomponents• Three-directionalseismicinputs:DBEandBDBE• Characterizebenefitsofseismicisolation
Unit:mmUnit:mm
Summaryandconclusions
• VerificationofICFDandALEmodelsutilizedabase-supportedtank,ahead-supportedtank,andsubmergedinternalcomponents
• AnalyticalsolutionsforseismicFSIinhead-supportedtanksdevelopedbymodifyingVeletsos(1984)forbase-supportedtanks
• ICFDmodelusedtodesigntestarticleforearthquakesimulatortests
DOENPHMeeting;October23and24,2018
Acknowledgments
• USDepartmentofEnergy• RobertSpears• BryanButikofer• AlanTrost
• TerraPower• CharlesGrummer
• RyanChristensen• JamesNikola
DOENPHMeeting;October23and24,2018
Load-cell
Supporting frame
Reactor vessel
Earthquake simulator
Load cell
Supporting frame
Test vessel
