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Liquid Rocket Thrust Chambers - Aspects of Modeling, Analysis, and Design - Progress in Astronautics and Aeronautics, Volume 200 PDF

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Preview Liquid Rocket Thrust Chambers - Aspects of Modeling, Analysis, and Design - Progress in Astronautics and Aeronautics, Volume 200

Liquid Rocket Thrust Chambers: Aspects of Modeling, Analysis, and Design Edited by Vigor Yang PennsylvaniaStateUniversity UniversityPark,Pennsylvania Mohammed Habiballah OfficeNationald’EtudesetdeRecherchesAe´rospatiales Chaˆtillon,France JamesHulka Jacobs-SverdrupTechnology,Inc. Huntsville,Alabama Michael Popp PrattandWhitneySpacePropulsion WestPalmBeach,Florida Volume 200 PROGRESS IN ASTRONAUTICS AND AERONAUTICS Paul Zarchan, Editor-in-Chief MIT LincolnLaboratory Lexington, Massachusetts Publishedbythe AmericanInstituteofAeronauticsandAstronautics,Inc. 1801AlexanderBellDrive,Reston,Virginia20191-4344 Copyright # 2004 by the American Institute of Aeronautics and Astronautics, Inc. Printed in the UnitedStatesofAmerica.Allrightsreserved.Reproductionortranslationofanypart ofthiswork beyondthatpermittedbySections107and108oftheU.S.CopyrightLawwithoutthepermissionofthe copyrightownerisunlawful.Thecodefollowingthisstatementindicatesthecopyrightowner’sconsent thatcopiesofarticlesinthisvolumemaybemadeforpersonalorinternaluse,onconditionthatthe copier paythe per-copyfee($2.00)plusthe per-pagefee($0.50)throughtheCopyrightClearance Center,Inc.,222RosewoodDrive,Danvers,Massachusetts01923.Thisconsentdoesnotextendto other kinds of copying, for which permission requests should be addressed to the publisher. Users shouldemploythefollowingcodewhenreportingcopyingfromthevolumetotheCopyrightClearance Center: 1-56347-223-6/04$2.50þ.50 Data and information appearing in this book are for informational purposes only. AIAA is not responsibleforanyinjuryordamageresultingfromuseorreliance,nordoesAIAAwarrantthatuseor reliancewillbefreefromprivatelyownedrights. ISBN1-56347-223-6 Preface Liquid-propellant rocket engines have been used as the primary propulsion systemsinmostlaunchvehiclesandspacecraftsincetheinitialconquestofspace. Eight decades after their first fabrication and test, however, many aspects of modeling,analysis,anddesignofthrustchambersfortheseenginesstillpresent important challenges. Certainly one reason for this continued challenge is the complexity of the problem; although the basic concepts are well established, many of the detailed physiochemical processes of liquid-propellant combustion remain unresolved. Another reason is the difficulty and significant expense of conducting research and development in the harsh and hazardous environments ofliquidrocketthrustchambers.Improvementsinperformanceforfuturerocket engines may require that internal pressures and heat flux, already substantial, continuetoincrease,renderingtheproblemevenmorechallenging.Furthermore, any design work addressing performance, life, reliability, and safety for future thrust chamber development will benefit greatly from an improved under- standingofthechemicalandphysicalprocessesandtheresultingformulationand useof suitable models that can beincorporated into advancedanalysistools. Investments in this field have slowed over the past 30 years, and important resultsandreferencepublicationseitherhavedisappearedorhavenotbeenmade widelyorpubliclyavailable.TheUnitedStatesandtheformerSovietUnionhave made only sporadic investments since their significant advancements in the 1950s, ’60s, and ’70s. Europe, China, and Japan, on the other hand, have made major investments in recent decades. At the same time, there have been significant improvements in computational and experimental techniques, and a growingpracticalexperiencewithfull-scalerocketenginesworldwide,thathave advanced the state of the art. Unfortunately, the smaller scale and narrower dissemination of the literature on this work have limited the widespread utilization of these advances. Existing publications are scattered throughout various journals, technical reviews, conference proceedings, and progress reports. Thereisconsequentlyadistinctneedforacomprehensivetexttoorganizeand make readily available the latest results and developments, and to promote additionalinsight,research,andcollaborationonthetopicsofmodeling,analysis, and design of liquid rocket thrust chambers. There has not been a major publicationonthistopicsinceLiquidRocketsandPropellants,in1960.(Volume 2 inthe AIAAProgress inAeronautics andAstronautics Series, edited by L.E. Bollinger, M. Goldsmith, and A. W. Lemmon, Jr.) A volume to capture and presenttherecentadvancesandcurrentunderstandinginthefieldwastherefore considered an important contribution to the research, industrial, and academic communities involved in the design, development, and testing of liquid rocket thrust chambers. xvii xviii The present volume compiles results from many of the research and development programs conducted over the last several decades across the international community. One of the driving interests behind the production of thisvolumewastocovertheinternationalscope,whichwasmadepossiblebythe significantchangesin the politicallandscape over the past decade. The original material and impetus for this volume came from the Second International Symposium on Liquid Rocket Propulsion, hosted by l’Office National d’Etudes et deRecherches Ae´rospatiales,at Chaˆtillon,France, inJune of1995.Thismeetingwasthesecondinaseriesofsymposiadesignedtoprovide opentechnicalexchangesacrosstheinternationalcommunityintheliquidrocket field. At the symposium, technical presentations were made by leading experts from eight countries, including nearly every major governmental and corporate organization.Likeitspredecessor,thismeetingprovidedauniqueopportunityfor presentation and discussion of work from the Commonwealth of Independent States and from China that had notbeen seen previouslyinthe West. This volume is designed as a reference text, with a balance of fundamental scientific and technological works. It is organized into five subject areas, consistent with a stepwise approach through the design and analysis of thrust chambers,including:1)injectionandatomizationprocesses;2)combustionand ignitionprocesses;3)nozzledesignandoptimization;4)chamberdynamics,heat transfer, and performance; and 5) influence of engine system design. Twenty chaptersareincluded,allpreparedandreviewedbyleadingexpertsinthisfield. Thevolumecanbeusedandenjoyedbyengineers,researchers,andscientistsin industry, government, and academia who are involved in rocket propulsion research.Thestructuringofthisvolumeasareferencealsowillrenderitusefulto those inotherfields involved inthe design ofcombustiondevices. Vigor Yang Mohammed Habiballah James Hulka MichaelPopp November2004 Table of Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix Chapter1 Propellant Injection Systems and Processes . . . . . . . . . . 1 JacksonI.ItoGenCorpAerojetPropulsionDivision,Sacramento,California Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 RocketApplicationDesignRequirements . . . . . . . . . . . . . . . . . . . . 2 ThrustLevelandOperatingPressure. . . . . . . . . . . . . . . . . . . . . . . 2 PropellantType . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 EngineCycleorFeedSystem. . . . . . . . . . . . . . . . . . . . . . . . . . . 4 CommonCombustionDeviceDevelopmentRisks . . . . . . . . . . . . . . . 6 CombustionInstability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 CombustionChamberOverheatingandBurnout. . . . . . . . . . . . . . . . . 7 InjectorFaceErosion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 LowThrustChamberAssemblyPerformance . . . . . . . . . . . . . . . . . . 8 UnsafeTransients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 InjectionSystemDesignConsiderations . . . . . . . . . . . . . . . . . . . . . 9 EnginePressureSchedule. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 NozzleExpansionRatio. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 ContractionRatio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 ChamberLength. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 InjectionElementandPattern. . . . . . . . . . . . . . . . . . . . . . . . . . . 10 CriticalCombustionProcesses. . . . . . . . . . . . . . . . . . . . . . . . . . . 10 InjectorManifoldDistribution . . . . . . . . . . . . . . . . . . . . . . . . . . 11 InjectorSprayAtomization . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 PropellantDropletVaporization. . . . . . . . . . . . . . . . . . . . . . . . . . 13 BipropellantMixing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 CandidateInjectorsforLiquidRocketApplications . . . . . . . . . . . . . . 13 CoaxialJetInjectors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 ImpingingJetInjectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 ParallelJet(Showerhead)Injectors. . . . . . . . . . . . . . . . . . . . . . . . 16 InjectorDesignSynthesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 ConclusionsandRecommendations. . . . . . . . . . . . . . . . . . . . . . . . 17 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Chapter2 Design and Dynamics ofJet and Swirl Injectors . . . . . . . 19 VladimirBazarovMoscowAviationInstitute,Moscow,RussiaandVigorYang andPuneeshPuriPennsylvaniaStateUniversity,UniversityPark,Pennsylvania Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 ClassificationofInjectorsandMethodsofMixtureFormation . . . . . . . . . 22 vii viii LiquidInjectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Gas-LiquidInjectors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 IntensificationofPropellantAtomizationandMixinginLiquidInjectors . . 41 IntensificationofPropellantAtomizationandMixinginGas-LiquidInjectors . 45 TheoryandDesignofLiquidMonopropellantJetInjectors. . . . . . . . . . 45 FlowCharacteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 EffectofInjectorConfiguration. . . . . . . . . . . . . . . . . . . . . . . . . . 46 FlowCoefficient. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 DesignProcedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 TheoryandDesignofGaseousMonopropellantJetInjectors. . . . . . . . . 51 FlowCharacteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 DesignProcedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 TheoryandDesignofGas-LiquidJetInjectors . . . . . . . . . . . . . . . . . 53 TheoryandDesignofLiquidMonopropellantSwirlInjectors . . . . . . . . 56 FlowCharacteristicsofIdealSwirlInjector . . . . . . . . . . . . . . . . . . . 57 FlowCharacteristicsofRealSwirlInjectors . . . . . . . . . . . . . . . . . . . 66 EffectofViscosityonInjectorOperation. . . . . . . . . . . . . . . . . . . . . 68 DesignProcedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 TheoryandDesignofLiquidBipropellantSwirlInjectors . . . . . . . . . 72 InjectorswithExternalMixing . . . . . . . . . . . . . . . . . . . . . . . . . . 72 InjectorswithInternalMixing. . . . . . . . . . . . . . . . . . . . . . . . . . . 75 ModulationofLiquidSprayCharacteristicsofSwirlInjectors. . . . . . . . 77 DesignofGasSwirlInjectors . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 DesignProcedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 SelectionofGeometricDimensionsandFlowParameters. . . . . . . . . . . . 89 DynamicsofLiquidRocketInjectors. . . . . . . . . . . . . . . . . . . . . . . 90 LinearDynamicsofJetInjectors . . . . . . . . . . . . . . . . . . . . . . . . . 92 LinearDynamicsofSwirlInjectors. . . . . . . . . . . . . . . . . . . . . . . . 94 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 Chapter3 Atomization inCoaxial-JetInjectors . . . . . . . . . . . . . . . 105 LucienVingertandPierreGicquelONERA,Palaiseau,France,MichelLedoux andIsabelleCare´ CORIA,Universite´ deRouen,Rouen,France,and MichaelMicciandMichaelGlogowskiPennsylvaniaStateUniversity, UniversityPark,Pennsylvania Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 PhenomenologicalDescriptionandLiteratureReview. . . . . . . . . . . . . 106 GeneralSchemeofJetDisintegrationandDropFormation . . . . . . . . . . . 106 StudiesofElementaryProcesses . . . . . . . . . . . . . . . . . . . . . . . . . 109 NumericalSimulationsoftheAtomizationProcess . . . . . . . . . . . . . . . 111 DerivationofDropletSizeDistributionFunctions. . . . . . . . . . . . . . . . 111 InvestigationsofAtomizationinShearCoaxialInjectors . . . . . . . . . . . 111 ExperimentalandTheoreticalInvestigationatAtmosphericPressurewith Simulants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 PhotographicStudiesUsingCryogenicFluids(Liquid/GaseousNitrogen). . . 125 LOXSprayCombustion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 ix Acknowledgment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 Chapter4 Liquid Bipropellant Injectors . . . . . . . . . . . . . . . . . . . . 141 WilliamE.Anderson,MatthewR.Long,andStephenD.HeisterPurdue University,WestLafayette,Indiana Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 ImpingingJetInjector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 GeneralDescription. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 ApplicationsandDesignGuidelines . . . . . . . . . . . . . . . . . . . . . . . 144 MechanisticStudy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 ModelingApproaches. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 BicentrifugalSwirlInjector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 GeneralDescription. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 ApplicationsandDesignGuidelines . . . . . . . . . . . . . . . . . . . . . . . 152 ModelingApproaches. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 PintleInjector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 GeneralDescription. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 ApplicationsandDesignGuidelines . . . . . . . . . . . . . . . . . . . . . . . 159 MechanisticStudy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 SummaryandConclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 Chapter5 Distortion and Disintegration of Liquid Streams. . . . . . . 167 WilliamA.SirignanoandCarstenMehringUniversityofCalifornia,Irvine, California Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 FormulationofGoverningEquations . . . . . . . . . . . . . . . . . . . . . . . 173 RoundJetAnalyses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 TemporalStabilityAnalysis. . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 SurfaceEnergy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179 SpatialStabilityAnalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 NonlinearEffects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 ViscousEffects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 SprayControlviaElectricFields. . . . . . . . . . . . . . . . . . . . . . . . . 188 CoaxialJets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190 PlanarSheetAnalyses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 LinearTheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 FanSheets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 SimplifiedBreakupTheories . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 NonlinearTheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 AnnularFreeFilms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 LinearTheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 NonlinearTheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 EffectofSwirl. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232 ConicalFreeFilms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234 ConcludingRemarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 x Acknowledgment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 242 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 Chapter6 ModelingLiquid-Propellant Spray Combustion Processes 251 H.H.ChiuNationalCheng-KungUniversity,Taiwan,RepublicofChinaand J.C.OefeleinSandiaNationalLaboratories,Livermore,California Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 FundamentalFormulationforTwo-PhaseFlow. . . . . . . . . . . . . . . . . 252 LocalInstantaneousEquations . . . . . . . . . . . . . . . . . . . . . . . . . . 252 AveragedEquations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253 DecompositionofVariablesandAveragingProcedures . . . . . . . . . . . . . 255 BasicModelingApproaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 Eulerian-LagrangianFormulation. . . . . . . . . . . . . . . . . . . . . . . . . 258 DynamicTransportandHeatTransferEquationsofaDrop. . . . . . . . . . . 261 Non-DiluteSprayModels. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262 MorphologicalandKineticModels. . . . . . . . . . . . . . . . . . . . . . . . 263 TurbulenceGenerationandModulation . . . . . . . . . . . . . . . . . . . . . 267 Drop-TurbulenceInteractions. . . . . . . . . . . . . . . . . . . . . . . . . . . 267 DropDispersionModels. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 DropGasificationandWake-InducedTurbulenceModulation. . . . . . . . . . 269 Two-WayCouplingModelforInterphaseExchangeofK andE . . . . . . . 275 sp sp ModulationoftheTurbulentEnergySpectrum. . . . . . . . . . . . . . . . . . 276 CollectivePhenomenainCombustingSprays. . . . . . . . . . . . . . . . . . 279 Drop-BasedSprayModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279 ConfigurationandStructureofGroupCombustion. . . . . . . . . . . . . . . . 283 MultiphaseCombustionatSupercriticalConditions . . . . . . . . . . . . . . 284 GeneralScalingLawforFlameRadius. . . . . . . . . . . . . . . . . . . . . . 285 ScalingLawfortheInitialFlameExpansion. . . . . . . . . . . . . . . . . . . 287 ScalingLawfortheMaximumFlameRadius . . . . . . . . . . . . . . . . . . 288 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 290 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 290 Chapter7 Liquid-Propellant Droplet Vaporizationand Combustion 295 VigorYang,PatrickLafon,andGeorgeC.HsiaoPennsylvaniaStateUniversity, UniversityPark,Pennsylvania,MohammedHabiballahONERA,Chaˆtillon, France,andFeng-ChenZhuangInstituteofCommandTechnology,Beijing, China Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 ThermodynamicandTransportProperties . . . . . . . . . . . . . . . . . . . . 297 ExtendedCorresponding-StatePrinciple . . . . . . . . . . . . . . . . . . . . . 298 EquationofState . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298 ThermodynamicProperties . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 TransportProperties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 Vapor-LiquidPhaseEquilibrium. . . . . . . . . . . . . . . . . . . . . . . . . . 301 DropletVaporizationinQuiescentEnvironments. . . . . . . . . . . . . . . . 303 CryogenicPropellants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303 HydrocarbonPropellants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 HypergolicPropellants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307 xi DropletVaporizationinConvectiveEnvironments. . . . . . . . . . . . . . . 308 DropletCombustion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 DropletResponsetoAmbientFlowOscillation. . . . . . . . . . . . . . . . . 314 Hydrocarbon/AirSystem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314 Oxygen/HydrogenSystem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319 Chapter8 Subcritical/Supercritical Droplet ClusterBehavior inDenseand Dilute Regions of Sprays. . . . . . . . . . . . . . . . . . . . . . . 323 JosetteBellanJetPropulsionLaboratory,CaliforniaInstituteofTechnology, Pasadena,California Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 ClustersofBinary-SpeciesDropsinAir(Subcritical) . . . . . . . . . . . . . 324 ClustersofFluidO DropsinH (Supercritical) . . . . . . . . . . . . . . . . 328 2 2 SummaryandConclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 Chapter9 Fundamentals ofSupercritical Mixing and Combustion ofCryogenic Propellants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 WolfgangO.H.MayerDLR,GermanAerospaceResearchCenter,Hardthausen, GermanyandJoshuaJ.SmithUniversityofAdelaide,Adelaide,Australia Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 340 Cold-FlowResearch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 Single-ComponentSystems. . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 Cold-FlowInvestigationExperimentalSetup. . . . . . . . . . . . . . . . . . . 342 Single-ComponentBehavior . . . . . . . . . . . . . . . . . . . . . . . . . . . 344 Binary-ComponentSystems. . . . . . . . . . . . . . . . . . . . . . . . . . . . 346 CombustingFlowResearch. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 ExperimentalProcedure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 SubcriticalCombustion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351 SupercriticalCombustion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353 PrincipalFlowCharacteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . 353 OxygenJetBreakup. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354 FlameStructureandRadiation . . . . . . . . . . . . . . . . . . . . . . . . . . 354 Flame-HoldingMechanisms. . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 PropellantInterfacePhenomena. . . . . . . . . . . . . . . . . . . . . . . . . . 360 EffectsofInjectorDesignonFlowfield. . . . . . . . . . . . . . . . . . . . . . 362 IgnitionTransients. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 366 xii Chapter10 CARS Measurements at High Pressurein Cryogenic LOX/GH Jet Flames. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 2 F.Grisch,P.Bouchardy,andL.VingertONERA,PalaiseauCedex,France, W.ClaussandM.OschwaldDLR,Hardthausen,Germany,and O.M.Stel’mackandV.V.SmirnovAcademyofSciencesofRussia, Moscow,Russia Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 ExperimentalFacilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 MascotteFacility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 P8Facility. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 374 CARSOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 ProbeSpeciesinLOX/GH Combustion. . . . . . . . . . . . . . . . . . . . . 379 2 Hydrogen. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 WaterVapor. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 ExperimentalSetup. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 384 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386 H DataReduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 387 2 H ODataReduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392 2 FlameMeasurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403 Chapter11 Propellant Ignition and FlamePropagation. . . . . . . . . . 405 EricA.HurlbertandRobertJ.MorelandNASAJohnsonSpaceCenter,Houston, TexasandSebastienCandelE´coleCentraleParisandCNRS, Chatenay-Malabry,France Nomenclature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 406 GeneralBackgroundandFundamentalConsiderations. . . . . . . . . . . . . 407 AutoignitionofHomogeneousVolumeofReactants. . . . . . . . . . . . . . . 408 MinimumIgnitionEnergy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409 EffectsofTurbulenceandDropletEvaporation . . . . . . . . . . . . . . . . . 410 PropagationfromaFlameKernel. . . . . . . . . . . . . . . . . . . . . . . . . 411 CompressibilityEffects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412 NumericalModelingofIgnitionProcesses. . . . . . . . . . . . . . . . . . . . 413 IgnitionofNonhypergolicPropellants . . . . . . . . . . . . . . . . . . . . . . 414 ThermalIgnitionDevices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414 ResonantIgnitionDevices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 CatalyticIgnitionDevices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417 Third-ChemicalorHypergolicIgnitionDevices . . . . . . . . . . . . . . . . . 418 PhotochemicalLaserIgnition. . . . . . . . . . . . . . . . . . . . . . . . . . . 419 SparkIgnitionDevices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419 HypergolicPropellantIgnition. . . . . . . . . . . . . . . . . . . . . . . . . . . 421 DesignConsiderationsforHypergolicEngineIgnition. . . . . . . . . . . . . . 421 PhysicalProcessesOccurringDuringIgnitionTransient. . . . . . . . . . . . . 423 ModelingofHypergolicIgnitionTransient. . . . . . . . . . . . . . . . . . . . 426

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