Theory of Solid-Propellant Nonsteady Combustion - Novozhilov, Vasily B

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About the Authors Preface Abbreviations CHAPTER I STEADY-STATE COMBUSTION 1.1 General Characteristics of Solid Propellants 1.2 Burning Rate and Surface Temperature 1.3 Combustion Wave Structure.Burning temperature 1.4 Combustion in Tangential Gas Stream 1.5 Gaseous flame 1.6 Combustion Wave in Condensed Phase 1.7 The Two Approaches to the Theory of Nonsteady Propellant Combustion 1.8 Steady-State Belyaev Model CHAPTER II EQUATIONS OF THE THEORY OF NONSTEADY COMBUSTION 2.1 Major Assumptions 2.2 Zeldovich Theory. Constant Surface Temperature 2.3 Variable Surface Temperature 2.4 Integral Formulation of the Theory 2.5 Theory Formulation through the set of Ordinary Differential Equations 2.6 Linear Approximation 2.7 Formal Mathematical Justification of the Theory CHAPTER III COMBUSTION UNDER CONSTANT PRESSURE 3.1 Stability Criterion for a Steady-state Combustion Regime 3.2 Asymptotical Perturbation Analysis 3.3 Two-dimensional Combustion Stability of Gasless Systems 3.4 Combustion Beyond Stability Region 3.5 Comparison to Experimental Data CHAPTER IV COMBUSTION UNDER HARMONICALLY OSCILLATING PRESSURE 4.1 Linear Burning Rate Response to Harmonically Oscillating Pressure 4.2 Acoustic Admittance of Propellant Surface 4.3 Quadratic Response Functions 4.4 Acoustic Admittance in the Second-order Approximation 4.5 Nonlinear Resonance 4.6 Response Function Bifurcations 4.7 Frequency - Amplitude Diagram 4.8 Comparison to Experimental Data CHAPTER V NONSTEADY EROSIVE COMBUSTION 5.1 Problem formulation 5.2 Linear Approximation 5.3 Nonlinear Effects in Nonsteady Erosive Combustion CHAPTER VI NONSTEADY COMBUSTION UNDER EXTERNAL RADIATION 6.1 Steady-state Combustion Regime 6.2 Heat Transfer Equation in the Linear Approximation 6.3 Linearization of Nonsteady Burning Laws 6.4 Steady-state Combustion Regime Stability 6.5 Burning Rate Response to Harmonically Oscillating Pressure 6.6 Burning Rate Response to Harmonically Oscillating Radiative Flux 6.7 Relation between Burning Rate Responses to Harmonically Oscillating Pressure and Radiative Flux CHAPTER VII NON-ACOUSTIC COMBUSTION REGIMES. EXTINCTION 7.1 Acoustic and Non-acoustic Combustion Regimes 7.2 Linear Approximation 7.3 Approximate Approach in the Theory of Nonsteady Combustion 7.4 Self-similar Solution 7.5 Self-similar Solution Stability 7.6 Propellant Combustion and Extinction under Depressurization. Constant Surface Temperature. 7.7 Propellant Combustion and Extinction under Depressurization. Variable Surface Temperature. CHAPTER VIII MODELING NONSTEADY COMBUSTION IN SOLID ROCKET MOTOR 8.1 Introduction 8.2 Non-acoustic Regimes. Problem Formulation 8.3 Stability of Steady-state Regime in a Semi-enclosed Volume 8.4 Transient Regimes 8.5 Unstable and Chaotic Regimes 8.6 Experimental Data 8.7 Acoustic Regimes 8.8 Automatic Control of Propellant Combustion Stability in a Semi- enclosed Volume CHAPTER IX INFLUENCE OF GAS-PHASE INERTIA ON NONSTEADY COMBUSTION 9.1 Introduction 9.2 Steady-state Combustion Regime Stability 9.3 Burning Rate Response to Harmonically Oscillating Pressure 9.4 Acoustic Admittance of Propellant Surface 9.5 Combustion and Extinction under Depressurization 9.6 approximation References Problems Problem Solutions Subject Index