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

3 Chapter 8Table 8.1 Parameters used in the transient combustion regime simulations and ...Table 8.2 Values of pressure, burning rate, and apparatus constant at final s...

4 Chapter 9Table 9.1 Parameters involved in the solution (9.56) for the complex amplitud...Table 9.2 Comparison of the t capproximation, the t rapproximation, and the an...Table 9.3 Comparison of the t rapproximation and the analytical solution obtai...

1 Chapter 1 Figure 1.1 Combustion wave structure of a homogeneous propellant. I, preheat... Figure 1.2 Michelson temperature distribution. Figure 1.3 Dependence of burning rate on surface temperature for ballistite ... Figure 1.4 Sketch of the gas temperature profile during combustion of ballis... Figure 1.5 Erosion coefficient as a function of tangential gas velocity. Figure 1.6 Spatial distribution of the erosion coefficient.

2 Chapter 2Figure 2.1 Procedure for obtaining the dependence of burning rate on surface...Figure 2.2 The dependence of burning rate on surface temperature gradient.Figure 2.3 Transitional regimes in the plane ( f , u ).Figure 2.4 Burning rate variation under rapid pressure change.Figure 2.5 Burning rate variation under slow pressure change.Figure 2.6 Ratio between approximate temperature profiles and the exact temp...

3 Chapter 3Figure 3.1 Stability boundary of the steady‐state regime under constant pres...Figure 3.2 Burning rate (1) and its asymptotic (2) for r = 0, Figure 3.3 Burning rate (1) and its asymptotic (2) for r = 0, Figure 3.4 Burning rate (1) and its asymptotic (2) for r = 0.25...Figure 3.5 Regions of typical combustion regimes: 1, r *; 2, r −; 3,...Figure 3.6 Burning rate (1) and its asymptotic (2) for r = 0.5 Figure 3.7 Burning rate (1) and its asymptotic (2) for r = 0.095...Figure 3.8 Burning rate (1), its asymptotic (2), and the terms v 1d(3) and v...Figure 3.9 Burning rate (1), its asymptotic (2), and the terms v 1d(3) and v...Figure 3.10 Stability boundary of the steady‐state combustion regime: a , ana...Figure 3.11 Frequency at the boundary of the steady‐state combustion regime:...Figure 3.12 Stable steady‐state regime: k < k 1, k = 1.95...Figure 3.13 T regime: k 1< k < k 2, k = 2.05...Figure 3.14 2 T regime: k 2< k < k 3, k = 2.08...Figure 3.15Figure 3.15 4 T regime: k3 < k < k4...Figure 3.16 8 T regime: k > k 4, k = 2.0923, and...Figure 3.17 Chaotic combustion regime: k = 2.0952.Figure 3.18 Succession of period doubling and transition to chaos upon incre...Figure 3.19 Burning rate dependence on the surface temperature gradient for ...Figure 3.20 Burning rate of ammonium perchlorate as a function of pressure....

4 Chapter 4Figure 4.1 Linear response function of burning rate. k = 1.5, Figure 4.2 Effect of variation of parameter k on the real part of the burnin...Figure 4.3 Effect of variation of parameter r on the real part of the burnin...Figure 4.4 Effect of variation of parameter δ on the real part of the b...Figure 4.5 Real part of the linear response function of burning rate. k = 1....Figure 4.6 Real parts of linear response functions of burning rate U and G ....Figure 4.7 Quadratic correction to the constant component of burning rate. k...Figure 4.8 Real part of the response function of burning rate for double fre...Figure 4.9 Quadratic response function of burning rate U n,m. k = 1.5...Figure 4.10 Quadratic response function of burning rate Un, − m...Figure 4.11 Constant components of response functions of burning rate and ac...Figure 4.12Figure 4.12 Real parts of response functions of burning rate and ...Figure 4.13Figure 4.13 Real parts of response functions of burning rate and ...Figure 4.14 Real parts of response functions of burning rate and acoustic ad...Figure 4.15 Resonance curves for different amplitudes of the exciting force....Figure 4.16 First type of resonance curves.Figure 4.17 Second type of resonance curves.Figure 4.18 Third type of resonance 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 2 T regime. h (1)< h < h (2), h = ...Figure 4.23Figure 4.23 4 T regime. h(2) < h < h(3)...Figure 4.24Figure 4.24 8 T 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...