Table Of Content(cid:2)
TheoryofSolid-PropellantNonsteadyCombustion
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Wiley-ASMEPressSeries
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Theory of Solid-Propellant Nonsteady
Combustion
Boris V. Novozhilov
TheSemenovInstituteofChemicalPhysics
RussianAcademyofSciences
117977Moscow,Russia
(cid:2) Vasily B. Novozhilov (cid:2)
ProfessorofMathematics
VictoriaUniversity
MelbourneVictoria8001
Australia
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Thiseditionfirstpublished2021
©2021JohnWiley&SonsLtd
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LibraryofCongressCataloging-in-PublicationData
Names:Novozhilov,BorisV.,author.|Novozhilov,VasilyB.,author.
Title:Theoryofsolid-propellantnonsteadycombustion/BorisV.
Novozhilov,VasilyB.Novozhilov.
Description:Hoboken,NJ:Wiley-ASME,[2020]|Series:Wiley-ASMEpress
series|Includesbibliographicalreferencesandindex.
Identifiers:LCCN2020017338(print)|LCCN2020017339(ebook)|ISBN
9781119525707(cloth)|ISBN9781119525646(adobepdf)|ISBN
9781119525585(epub)
Subjects:LCSH:Solidpropellants–Combustion.
Classification:LCCTL785.N682020(print)|LCCTL785(ebook)|DDC
621.43/56–dc23
LCrecordavailableathttps://lccn.loc.gov/2020017338
LCebookrecordavailableathttps://lccn.loc.gov/2020017339
CoverDesign:Wiley
CoverImage:DesignedbyIngaNovozhilov
Setin9.5/12.5ptSTIXTwoTextbySPiGlobal,Chennai,India
PrintedandboundbyCPIGroup(UK)Ltd,Croydon,CR04YY
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To
LudmilaNovozhilova
NataliaGolubnichaya
IngaNovozhilov
NataliaNovozhilova
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ix
Contents
AbouttheAuthors xi
Preface xiii
ImportantNotationandAbbreviations xxi
AbouttheCompanionWebsite xxvii
1 Steady-stateCombustion 1
1.1 GeneralCharacteristicsofSolidPropellants 1
1.2 BurningRateandSurfaceTemperature 6
1.3 CombustionWaveStructure.BurningTemperature 11
1.4 CombustioninTangentialGasStream 13
(cid:2) 1.5 GaseousFlame 16 (cid:2)
1.6 CombustionWavesintheCondensedPhase 19
1.7 TheTwoApproachestotheTheoryofNonsteadyPropellantCombustion 23
1.8 Steady-stateBelyaevModel 25
2 EquationsoftheTheoryofNonsteadyCombustion 29
2.1 MajorAssumptions 29
2.2 ZeldovichTheory:ConstantSurfaceTemperature 31
2.3 VariableSurfaceTemperature 36
2.4 IntegralFormulationoftheTheory 40
2.5 TheoryFormulationthroughtheSetofOrdinaryDifferentialEquations 42
2.6 LinearApproximation 44
2.7 FormalMathematicalJustificationoftheTheory 46
3 CombustionUnderConstantPressure 51
3.1 StabilityCriterionforaSteady-stateCombustionRegime 51
3.2 AsymptoticalPerturbationAnalysis 58
3.3 Two-dimensionalCombustionStabilityofGaslessSystems 68
3.4 CombustionBeyondtheStabilityRegion 74
3.5 ComparisonwithExperimentalData 80
4 CombustionUnderHarmonicallyOscillatingPressure 91
4.1 LinearBurningRateResponsetoHarmonicallyOscillatingPressure 91
4.2 AcousticAdmittanceofPropellantSurface 100
4.3 QuadraticResponseFunctions 105
4.4 AcousticAdmittanceintheSecond-orderApproximation 113
4.5 NonlinearResonance 116
4.6 ResponseFunctionBifurcations 126
4.7 Frequency–AmplitudeDiagram 129
4.8 ComparisonwithExperimentalData 140
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