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| Buckmaster J. — The Mathematics of combustion |
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| Предметный указатель |
Gas dynamics 183—191
Gas phase 33 34
Gas velocity 188
Gaseous combustion, basic equations 188—190
Gaseous combustion, transient phenomena 187
Gateux derivative 63
Gauss law 10
Gaussian stochastic process 66
Geometrical acoustics 142 143
Geometrical detonation dynamics 143 144
Global mapping 48 55 74 87 91 92
Global mapping and design and control 91
Global momentum balance 21
Gradient method 54 68
gradient sensitivity analysis 91
Granularity 142 145 164
Green's function 57 62 64 69—71 76
Green's function, adjoint 77
Green's function, matrix 70 72 73 91
Green's function, reduced 77
Green's function, system 57 64 68
Group generator 92
Group velocity 153
Hamiltonian, molecular 88
Harmonic disturbance 208
Harmonic wave 184 185
Heat conduction 33 190
Heat flux 26
Heat of formation 5 6
Heat of reaction 150 157 172 175
Hierarchical modelling 88 89
High intensity small-scale regime 121
High Mach number 33
High temperature reaction 16
Homogeneous mixture 35 see
Hopf bifurcation 27
Hugoniot curve 139
Hydrodynamic front 20 21
Hydrodynamic model 19 27
Hydrodynamic problem 20 22
Hydrodynamic stability 19 40 122 123 134 161
Hydrogen flame bubble 28 32
Hydrogen-oxygen flame 82
Hyperbolic problem 175
Ideal gas 136
Ignition 16 38 39 118 186
Ignition line 118
Ignition point 38
Ignition problem 15
Ignition source 191
Ignition temperature 44
Ignition time 192
Ignition, ambient atmosphere 186
Ignition, hydrogen 14
Induced velocity 39 42
Induction time 192 195 214 219
Induction zone 44
Infinitesimal excursion 92
Infinitesimal perturbation 19 35
Inhomogeneity 14 58 64
Initial condition 38 53 56 62 67 76 147 157 167 168
Initial condition, deterministic 99
Initial condition, stochastic 99
Initial disturbance 21
Initial value problem 10 184
Initial value problem, turbulence 103
Initial velocity 38
Initiation of detonation 142
Initiation transient 175
Input parameter 50 51 74 75 87 164 167
Intermolecular potential 89
Internal energy 135
Intrinsic instability 35
Invariant observation 51
Inverse kinetics 82
Inverse sensitivity coefficient 79
Inverse, generalized 85
inversion 74 82 89 161
Inviscid equation 103
Isentrope 138
Isothermal system 15 101
Iterative algorithm 60
Jacobian 56 58 87
jet 118 119
Joint probability density function 111 117
Jump 150 154
Kinematic argument 19
Kinematic incompatibility 22
Kinematic viscosity 110
kinetic energy 9 133
Kinetic equations, deterministic 67
Kinetic measurement 82
Kinetic model 8 12—17 32 43 44
Kinetic process 12 13 51 59 74 80 89
Kolmogorov 112 113
Korteweg — de Vries equation 133
Lagrangian coordinate 145
Laminar flame 6 97 113 122 123 124
Laminar flame, curvature 121
Laminar flame, diffusion 118 119
Laminar flame, flow 109 112
Laminar flame, propagation 113
Laminar flame, reaction sheet regime 121
Laminar flame, thickness 125
Laminar flame, wrinkled 121 122 123
Langevin equation 66
Laplace transform 167 168 170 206
Large activation energy 43
Large disturbance, gaseous combustion 238—242
Large disturbance, gaseous combustion, strong shock wave 238
Large scale turbulence 113
Latent heat 36
Latent-image rate 169
Least squares 75 82 83 85
Lewis number 12 23 26 28 31 119 125 126
Lewis number, infinite 28
Lie algebra 91
Lie technique, and global mapping 91 92 93
Liftoff 118 119 120
Limit cycle 90
Limiting regime, turbulent combustion 113
Linear chemistry, gaseous combustion 203—217
Linear chemistry, gaseous combustion, acoustical disturbances 205
Linear chemistry, gaseous combustion, amplification factor 210
Linear chemistry, gaseous combustion, change in composition 215 216
Linear chemistry, gaseous combustion, compression wave 210 211
Linear chemistry, gaseous combustion, frozen chemistry 210
Linear chemistry, gaseous combustion, general results 204
Linear chemistry, gaseous combustion, nonlinear disturbance 209
Linear chemistry, gaseous combustion, weak nonlinear wave 213 214
Linear chemistry, gaseous combustion, weak shock 211—216
Liouville equation 102
Long time scale, gaseous combustion 191
Longitudinal instability, analog 162
Low frequency oscillation 33
Low frequency oscillation and sensitivity analysis 90
Lumping 52 90 91
Lumping and sensitivity analysis 52 90
Lyapunov coefficient, asymptotic 73
Mach number 9 44 see
Mach number, zero 126
Mass action, law of 8
Mass conservation 11 36 106 136 188
Mass diffusion coefficient 188
Mass equation 145 146
Mass flux 26 29 34 122
Mass flux, diffusive 188
Mass fraction 4 6 9 12 36 102 110 135 188 191
Mass fraction, gradient 102
Material derivative 135
| Mathematical modelling, perspective 47—52
Maxwellian distribution 7
Mean residence time 108
Mean square fluctuation 115
Mechanical model for analog 148 149
Mesh point 52 56 88
Method of steepest descents 206 207
Mixing 107 115 119
Mixture fraction 111 112 117
Modecular diffusion 102
Model equations 53
Model equations, missing parameter 86
Model performance 51
Model uncertainty 85
Moment method 107 115 116 119 128
Moment method, turbulence 104—107
Momentum 53 133
Momentum balance 21
Momentum conservation 136 188
Momentum equation 9 10 39 145 146 201
Monte Carlo method and global mapping 91 93
Multiple-scale method 126
Navier — Stokes equation 98 107
Navier — Stokes equation, compressible 134
Navier — Stokes turbulence 99
Networks and sensitivity analysis 89 90
Neumann problem 61
Newton algorithm 60
Noise 67
Nonacoustic oscillation 33
Nonconstant coefficient 26
Nondimensional system 11 18 34
Nondimensional turbulence intensity 112
Nonequilibrium chemical reaction 119
Nonlinear chemistry, gaseous combustion 224—238
Nonlinear chemistry, gaseous combustion, ambient atmosphere 224 225
Nonlinear chemistry, gaseous combustion, disturbance 228 235—238
Nonlinear chemistry, gaseous combustion, frozen sound speed 224
Nonlinear chemistry, gaseous combustion, general solutions 226
Nonlinear chemistry, gaseous combustion, local 227—231
Nonlinear chemistry, gaseous combustion, perturbation equations 225 235
Nonlinear chemistry, gaseous combustion, shocks 227 233—235
Nonlinear chemistry, gaseous combustion, short pulse 227—232
Nonlinear chemistry, gaseous combustion, temperature 236 237
Nonpremixed system 112 119
Nonpremixed system, turbulent combustion 110 111
Nonreacting flow 109 115
Nonreacting turbulence 102 108 109
Nonreactive analog 148 149
Numerical computation 17 20 52 54 56 87 88 241
Numerical computation, dynamic code 144
Numerical computation, integration 65
Numerical computation, sensitivity coefficients 87
Numerical computation, turbulence 103—104 128
Nyquist diagram 170
Objective function sensitivity analysis 52
Observable 49 50 66 73
One-dimensional equations 17 34
One-dimensional flow, detonation 134 142
One-dimensional flow, unsteady 188
One-dimensional perturbation 29 161
One-reaction system, detonation 141
One-step kinetics 11 23 25
Optimizing function 82
Oscillating system 58 59
Output 50 51 167
Output as function of species 73
Output function 164
output parameter 74 86
Output, physical 74
Overdriven detonation 140 155 160 162
Pade approximant 92
Parameter covariance matrix 84
Parameter space 51 54 91 93
Parameter values, nominal 63
Parametric response surface 65
Parametric sensitivity analysis 52
Particle velocity 135 140
Performance index 50
Periodic reaction 58 59
Perturbation equation 26
Perturbation method 124
Perturbation method, turbulence 109
Perturbation theory 175
Physical process, model for 74
Physical stability 71 73
Physical variable 42
Piston problem 157 177 191 196 214 238
Piston problem, compared to reaction/wave interaction 183 184
Piston problem, detonation 134
Piston problem, gaseous combustion 195
Plane disturbance 26
Plane flame 10—11 26 28 29 122 see
Plane shock 172
Plane wave 186
Plug-flow reactor 108
Pollutant 117
Polytropic gas 176
Prandtl number 125 194 195 208
Prandtl theory, mixing length 105
Premixed atmosphere 191
Premixed flame 10 22 23 61 111 123
Premixed flame, distributed reaction 120 121
Premixed flame, one-dimensional 10 82
Premixed flame, reaction sheet 121—127
Premixed system 112 120
Premixed system, turbulent combustion 110 111
Pressure 18 135 175
Pressure gradient 10 39
Pressure perturbation 175 178
Pressure wave 183
Pressure, ambient 192
Probability density function 99—103 115 128
Probability density function, approximation of 104 120
Probability density function, evolution of 99—103
Probability density function, joint 102
Probability distribution function 66 68
Probability distribution function, concentration 65 66
Propagation time, finite 65
Propagation velocity, eigenvalue detonation 156
Propellant 33
Pulsating flame 58 see
Pulsating front 28
Pulsating instability 35
Pyrolysis 33—35 86
Quantum dynamics 88
quantum mechanics 47
Quenching 39 45 see
Random variable, turbulent combustion 99
Random-vortex method 103
Rank reduction 91
Rankine — Hugoniot discontinuity 186
Rankine — Hugoniot discontinuity, frozen shock 212
Rankine — Hugoniot relation 136 138
Rarefaction wave 154 156 160
Rarefaction wave, detonation theory 138
Rarefaction wave, following 138 140
Rate constant 56 61 64 80 84 88
Rate constant, analog 151
Rate constant, statistical values 67
Rate equation 160 165 169 173
Rate equation, analog 150
Rate equation, detonation 139
Rate equation, physical 148
Rayleigh line 137 139 140 147 155 156 160
RCL network 163
Reacting gas mixtures 99
Reaction constant, forward (reverse) 58
Reaction front 183
Reaction rate 7 98 164 165
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