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

8 Chapter 8Figure 8.1 The stability boundary of the steady‐state combustion regime in a...Figure 8.2 Frequency at the stability boundary of the steady‐state combustio...Figure 8.3 Effect of the parameter ι on the stability boundary of the s...Figure 8.4 Stability boundaries for the steady‐state combustion regime in a ...Figure 8.5 Sketch of the experimental rocket motor chamber. 1, front cap; 2,...Figure 8.6 Pressure transient behaviour for different cases (Table 8.1). Lin...Figure 8.7 Transient behaviour of nondimensional pressure and burning rate. Figure 8.8 Transient behaviour of nondimensional pressure and burning rate. ...Figure 8.9 Relative deviation of the solutions in the quasi‐steady‐state app...Figure 8.10 Regions of the existence of different nonsteady regimes on the p...Figure 8.11 Stable steady‐state combustion regime at k = 1.6, Figure 8.12 T regime. k 1< k < k 2, k = 1.64...Figure 8.13 4 T regime. k 3< k < k 4, k = 1.66...Figure 8.14 16 T regime. k 5< k , k = 1.66665, T...Figure 8.15 Chaotic combustion regime. k = 1.6685.Figure 8.16 6 T regime. k = 1.6695, T = 42.6.Figure 8.17 ‘Sneezing’ regime. k = 1.7, T = 711....Figure 8.18 Extinction. k = 1.8.Figure 8.19 Pressure oscillation frequency as a function of apparatus consta...Figure 8.20 Damping decrement as a function of apparatus constant.Figure 8.21 Dependence of damping decrement of oscillations on apparatus con...Figure 8.22 Comparison of approximate method with the numerical solution of ...Figure 8.23 Variation of pressure oscillation amplitude with time. Case A ....Figure 8.24 Evolution of oscillation profile with time. Case A .Figure 8.25 Variation of pressure oscillation amplitude with time. Case B ....Figure 8.26 Evolution of oscillation profile with time. Case B .Figure 8.27 Dynamics of the pressure perturbation front. Case B . τ : 1, Figure 8.28 Stability boundaries of the steady‐state combustion regime in a ...Figure 8.29 Stability boundaries for large values of the exponent ι . τd...Figure 8.30 Stability boundaries for the proportional‐integral control law. Figure 8.31 Stability boundaries for the proportional‐differential control l...Figure 8.32 Influence of the parameter τ don the stability boundary und...Figure 8.33 Influence of the parameter τ don the stability boundary und...

9 Chapter 9Figure 9.1 Stability boundary and frequency at the stability boundary. a = 0...Figure 9.2 Frequency dependencies of the modulus and the phase shift of burn...Figure 9.3 Influence of gas‐phase inertia on the real and imaginary parts of...Figure 9.4 Variation of the real part of acoustic admittance with frequency....Figure 9.5 Variation of the imaginary part of acoustic admittance with frequ...Figure 9.6 Influence of gas‐phase inertia on acoustic admittance. p0 = 106 P...Figure 9.7 Real and imaginary parts of the degree of isentropicity I . 1, rea...Figure 9.8 Comparison of results of this chapter with the numerical analysis...Figure 9.9 Extinction curves at different values of the initial pressure p i...Figure 9.10 Burning rate time history at σ = 0, ηf = 0.85...Figure 9.11 Burning rate time history at σ = 5 × 10−3...Figure 9.12 Pressure and burning rate time histories at p i= 50 atm, α = 4...Figure 9.13 Time evolution of temperature profiles at p i= 50 atm, α = 4...Figure 9.14 Time dependencies of the heat fluxes q and ϕ at p i= 50 atm...

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