Theory of Solid-Propellant Nonsteady Combustion

Professor Boris V. Novozhilov (1930-2017), Chief Researcher, The Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow. Professor Vasily B. Novozhilov, Professor of Mathematics, Discipline of Science, Research Institute for Sustainable Industries and Liveable Cities, Victoria University, Melbourne Victoria, Australia.

• About the AuthorsPrefaceAbbreviationsCHAPTER I STEADY-STATE COMBUSTION 1.1  General Characteristics of Solid Propellants1.2  Burning Rate and Surface Temperature1.3  Combustion Wave Structure.Burning temperature1.4  Combustion in Tangential Gas Stream 1.5  Gaseous flame1.6  Combustion Wave in Condensed Phase1.7 The Two Approaches to the Theory of Nonsteady Propellant Combustion1.8  Steady-State Belyaev ModelCHAPTER II EQUATIONS OF THE THEORY OF NONSTEADY COMBUSTION 2.1  Major Assumptions2.2  Zeldovich Theory. Constant Surface Temperature2.3  Variable Surface Temperature2.4  Integral Formulation of the Theory2.5  Theory Formulation through the set of Ordinary Differential Equations2.6  Linear Approximation2.7  Formal Mathematical Justification of the TheoryCHAPTER III  COMBUSTION UNDER CONSTANT PRESSURE 3.1  Stability Criterion for a Steady-state Combustion Regime3.2  Asymptotical Perturbation Analysis3.3  Two-dimensional Combustion Stability of Gasless Systems3.4  Combustion Beyond Stability Region3.5  Comparison to Experimental DataCHAPTER IV  COMBUSTION UNDER HARMONICALLY OSCILLATING PRESSURE 4.1  Linear Burning Rate Response to Harmonically Oscillating Pressure4.2  Acoustic Admittance of Propellant Surface4.3  Quadratic Response Functions4.4  Acoustic Admittance in the Second-order Approximation4.5  Nonlinear Resonance4.6  Response Function Bifurcations4.7  Frequency – Amplitude Diagram4.8  Comparison to Experimental DataCHAPTER V  NONSTEADY EROSIVE COMBUSTION 5.1  Problem formulation5.2  Linear Approximation5.3  Nonlinear Effects in Nonsteady Erosive CombustionCHAPTER VI  NONSTEADY COMBUSTION UNDER EXTERNAL RADIATION6.1  Steady-state Combustion Regime6.2  Heat Transfer Equation in the Linear Approximation6.3  Linearization of Nonsteady Burning Laws6.4  Steady-state Combustion Regime Stability6.5  Burning Rate Response to Harmonically Oscillating Pressure6.6  Burning Rate Response to Harmonically Oscillating Radiative Flux6.7  Relation between Burning Rate Responses to Harmonically Oscillating Pressure and Radiative FluxCHAPTER VII NON-ACOUSTIC COMBUSTION REGIMES. EXTINCTION7.1  Acoustic and Non-acoustic Combustion Regimes7.2  Linear Approximation7.3  Approximate Approach in the Theory of Nonsteady Combustion7.4  Self-similar Solution7.5  Self-similar Solution Stability7.6 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 MOTOR8.1  Introduction8.2  Non-acoustic Regimes. Problem Formulation8.3  Stability of Steady-state Regime in a Semi-enclosed Volume8.4  Transient Regimes8.5  Unstable and Chaotic Regimes8.6  Experimental Data8.7  Acoustic Regimes8.8  Automatic Control of Propellant Combustion Stability in a Semi-       enclosed VolumeCHAPTER IX INFLUENCE OF GAS-PHASE INERTIA ON NONSTEADY COMBUSTION9.1  Introduction9.2  Steady-state Combustion Regime Stability9.3  Burning Rate Response to Harmonically Oscillating Pressure9.4  Acoustic Admittance of Propellant Surface9.5  Combustion and Extinction under Depressurization9.6   approximationReferencesProblemsProblem SolutionsSubject Index