curves.Figure 4.19 Fourth type of resonance curves.Figure 4.20 T regime. h < h (1) , h = 0.1.Figure 4.21 Time dependence of burning rate. Dashed curve, h = 0.16...Figure 4.22 2T regime. h (1) < h < h (2) , h = ...Figure 4.23Figure 4.23 4T regime. h(2) < h < h(3)...Figure 4.24Figure 4.24 8T regime. h(3) < h < h(4)...Figure 4.25 Chaotic combustion regime. h > h (4) , h = 0.1835...Figure 4.26 Frequency–amplitude diagram.Figure 4.27 Dependence of pressure oscillation amplitude on frequency on bif...Figure 4.28 Modulus of the relative magnitude of the first harmonic of the b...Figure 4.29Figure 4.29 Relative magnitude of the zero harmonic of the burnin...Figure 4.30 Modulus of relative magnitude of the second harmonic of the burn...Figure 4.31 Spectrum of burning velocity for h = 0.05, ω = 8...Figure 4.32 Spectrum of burning velocity for h = 0.1, ω = 8...Figure 4.33 Spectrum of burning velocity for h = 0.15, ω = 8...Figure 4.34 Spectrum of burning velocity for h = 0.152, ω = 8...Figure 4.35 Modulus of response functions for the propellant parameters adop...Figure 4.36 Dependence of the acoustic admittance of ballistite JPN on frequ...Figure 4.37 Relative variation of the burning rate of ballistite JPN as a fu...5 Chapter 5Figure 5.1 Frequency dependence of the modulus of the response function for ...Figure 5.2 Frequency dependence of the modulus of the response function for ...Figure 5.3 Numerator and moduli of the denominator and the response function...Figure 5.4 Modulus of the response function (5.38) as a function of the eros...Figure 5.5 Influence of erosion on the response function (5.38). 1, without ...Figure 5.6 Influence of erosion on the responsefunction ∣U 1, 1∣....Figure 5.7 Ratio of the amplitudes of the second and first harmonics. 1, wit...Figure 5.8 Pressure amplitude at which the nonlinearity of the response is 1...
6 Chapter 6Figure 6.1 Stability boundaries. l = 0. 1, K = 1.0...Figure 6.2 Stability boundaries. l = ∞. 1, K = 1.0...Figure 6.3 Real parts of the response function. l = 0. 1, K = ...Figure 6.4 Real parts of the response function. l = ∞. 1...Figure 6.5 Real parts of the response function. l = 1. k = 2...Figure 6.6 Real parts of the response function. l = 1. k = 2...
7 Chapter 7Figure 7.1 Burning rate evolution in a transient process.Figure 7.2 Burning rate under pressure drop.Figure 7.3 Burning rate under rapid pressure increase.Figure 7.4 Temperature profile evolution under rapid pressure increase. β = ...Figure 7.5 Possibility of existence of a different number of self‐similar so...Figure 7.6 Stability boundary of self‐similar solutions.Figure 7.7 Extinction in the model with constant surface temperature.Figure 7.8 Extinction curves for the case of linear dependence of burning ra...Figure 7.9 Extinction curves for the case of exponential dependence of burni...Figure 7.10 Extinction in the model with variable surface temperature. Depen...Figure 7.11 Extinction in the model with variable surface temperature. Depen...Figure 7.12 Temperature profile evolution under pressure drop.Figure 7.13 Burning rate evolution under pressure drop.Figure 7.14 Extinction curve. ○, control parameters that do not cause extinc...Figure 7.15 Burning rate as a function of time at tp = 0.5 ms...Figure 7.16 Burning rate as a function of time at H = 0.2. 1, Figure 7.17 Experimental data and theoretical extinction curves at pi = 60 ...Figure 7.18 Experimental data and theoretical extinction curves for κ = 10−3...Figure 7.19 Experimental data and theoretical extinction curves for κ = 10−3...Figure 7.20 Experimental data and theoretical extinction curves for κ = 10−3...Figure 7.21 Effect of the magnitude of pressure drop on nonsteady burning ra...Figure 7.22 Effect of the pressure drop rate on nonsteady burning rate. ι = ...Figure 7.23 Effect of the parameter ι on nonsteady burning rate. ηf = 0...Figure 7.24 Effect of the parameter r on nonsteady burning rate. ι = 0.5...Figure 7.25 Nonsteady burning rate under spressure rise. ι = 0.5...
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 4T regime. k 3 < k < k 4 , k = 1.66...Figure 8.14 16T regime. k 5 < k , k = 1.66665, T...Figure 8.15 Chaotic combustion regime. k = 1.6685.Figure 8.16 6T 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 d on the stability boundary und...Figure 8.33 Influence of the parameter τ d on 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...
Guide
1 Cover
2 Table of Contents
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