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| Авторизация |
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| Buckmaster J. — The Mathematics of combustion |
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| Предметный указатель |
Reaction rate, backward (forward) 67
Reaction rate, detonation 139
Reaction rate, turbulence 102
Reaction sheet 113 115 116
Reaction sheet regime 113 115 121 126 127
Reaction sheet regime, instability 122 123
Reaction sheet regime, lame stretch 123
Reaction sheet, finite thickness 127
Reaction sheet, limit 116
Reaction sheet, multiple sheets 113
Reaction surface, connected 113
Reaction time 110
Reaction zone 23 25 29 38 39 138 140 154 170 172 173
Reaction zone, detonation 143
Reaction zone, detonation theory 138
Reaction zone, profile 154
Reaction zone, steady 159
Reaction-based amplification 208
Reaction-diffusion 53 62 65
Reaction-diffusion model 53 71 80
Reaction-diffusion model, one-dimensional 72
Reaction-diffusion model, steady state 53
Reaction-diffusion model, temporal case 53
Reaction/wave interaction 183
Reactive balance 16
Reactive flow 187
Reduced model 85 86
Reduced system 10
Reference composition 173 174 175
Reference flow 173
Reflected wave 176
Reflection coefficient 142 177 178
Regime, identification of 113
Regime, limiting, assessment of 115—127
Regime, limiting, diffusion flame with reaction sheet 115—119
Regime, turbulent combustion 109—115
Residence time 108
Resonant matching 58
Reynolds number 42 185 194 195 199 200 201 208
Reynolds number, Taylor scale 112
Reynolds number, turbulence 110
Reynolds stress 105
Right stability boundary 33—35 see
Rocket motor 17 33—35
runaway 14 38 73
Runge — Kutta integration 170
Scalar dissipation 120
Scalar field 107
Scaling, detonation 157
Scaling, gaseous combustion 198
Scaling, nonlinear 75
Schmidt number 194 195
Scrambler 49
Second moment 105
Second order sensitivity coefficient 55
Secularity 59
Semi-characteristic coordinate 185 197
Sensitivity analysis 17 44 47—93
Sensitivity analysis and error estimation 82—85
Sensitivity analysis and experimental data 82—85
Sensitivity analysis and hierarchical modelling 88 89
Sensitivity analysis and lumped system reduction 90
Sensitivity analysis and network theory 89 90
Sensitivity analysis, applications 51
Sensitivity analysis, computational aspects 87—88
Sensitivity analysis, constant parameter 63 64
Sensitivity analysis, derived 76—82
Sensitivity analysis, elementary 62 63 69 71 80
Sensitivity analysis, feature 52 73—77 85
Sensitivity analysis, first order 78
Sensitivity analysis, functional 62
Sensitivity analysis, gradient 91
Sensitivity analysis, missing model components 85—86 90
Sensitivity analysis, objective function 73—77
Sensitivity analysis, role in mathematical modelling 47
Sensitivity analysis, techniques 48 53—83
Sensitivity analysis, temporal systems 66
Sensitivity coefficient 51—91
Sensitivity coefficient, backward (forward) 57
Sensitivity coefficient, concentration profile 75
Sensitivity coefficient, derived 79 80
Sensitivity coefficient, elementary 54—62 69 78 79 83 90
Sensitivity coefficient, feature 76
Sensitivity coefficient, first order 55 78 83 85
Sensitivity coefficient, frequency 59
Sensitivity coefficient, mesh 88
Sensitivity coefficient, nonlocal 88
Sensitivity coefficient, second order 83
Sensitivity density 64 65
Sensitivity equation 54 87
Sensitivity equation, inhomogeneous 60
Sensitivity equation, linear 60
Sensitivity matrix 78 79 84
Shock 136 138 144 153 157 160 165 168 169 177
Shock density 136 165 167 169
Shock frame 139 158 159 165 174 176
Shock Hugoniot 137 138 147
Shock jump 150 154 156
Shock path 168 215
Shock pressure 161
Shock relation 165 166
Shock state 136
Shock strength 164 215
Shock strength, nonlinear chemistry 233
Shock velocity 136 138 139 158 165 173 175
Shock, constant velocity 154
Shock, initiation problem 145 172
Shock, initiation, detonation 144
Shock, plane 172
Shockwave 134 183 187
Shockwave, initiating 144
Shockwave, linear chemistry 213
Shockwave, nonlinear chemistry 227 229 230 231
Short pulse approximation 221
Short pulse approximation, nonlinear chemistry 227
Short time scale, gaseous combustion 191
Shroedinger equation 88
Signal velocity 183
Sivashinsky model 21
Small Mach number approximation 9—10 17—19 38
Small perturbation 12 201 202 see
Small perturbation, uni-directional waves 199—203
Small scale turbulence 113
Small wave number expansion 27
Sound speed 18 147 174
Sound speed, frozen 190
Sound speed, local 186
Space-time problem 53 62 70
Space-time problem, sensitivity analysis 62
Spatial homogeneity, turbulent combustion 101
| Specific heat 3 5 6 136
Specific heat, frozen 189
Spectral method 103
Stability 12 19 26 48 69—71
Stability boundary 27 28
Stability, detonation 142 161—171
Stable limit cycle 58
Stagnation point 31
Stand-off distance 31
State curve 137
State dependence 165
State variable, turbulent combustion 99
Stationary flow 104 116
Stationary front 19
Statistical error 84
Steady detonation 138 156 159
Steady detonation, analog solution 156
Steady detonation, stability 157
Steady state solution 54 59 90
Steady state solution, perturbations 142
Steady state velocity 38 39
Stewart model 33
Stiff system 54
Stirred reactor regime 113 118 119 121 127
Stochastic equation 52 66 67 68
Stochastic equation, turbulent combustion 99
Stochastic system 65—69
Stoichiometries 8 9 12 117
strain 30—32 124
Strange Attractor 99
Stratonovich 67
Strong point 140
Strong shock 147
Strong shock wave, gaseous combustion 238—242
Strong stretch 127
Supported detonation 140
System Jacobian 60
System parameter 50 51 59 66 86
System Sensitivity 50 54 61
System sensitivity, parametric 73
system stability 51 64
Taylor scale 112
Taylor series 55 84 91
Temperature 14 18 28 38 39
Temperature gradient 24 25 187
Temperature profile 50 74 89
Temperature, adiabatic flame 11
Temperature, dependence 7 15 77
Temperature, perturbation 240 241
Temperature, sheet 41
Temporal system 56 58 60 65 70 71 92
Thermal factor, analog 151
Thermal flux 10
Thermal ignition 14 15 see
Thermal model 15 16
Thermicity 150
Thermite 28 33
Thermodynamics 74 78 82 115 185
Thermodynamics and chemical equations 185
Thermodynamics, analog 151
Time history 74
Tracer experiment 108
Trajectory sampling 67
Trajectory, deterministic 69
Transfer function 164 167 169
Transport 47 51 74
Transport coefficient 41 82
Transport coefficient, molecular 110
Transport, gaseous combustion 196 201
Transport, turbulent 107
Travelling wave 27 175 177 183
Triple shock 142
Tube problem 19 20 21
Turbulence 32 44
Turbulence as stochastic phenomenon 98
Turbulence intensity 113
Turbulence modelling 7 101 105
Turbulence, large scale (small scale) 121 122
Turbulent combustion 96—131
Turbulent combustion, analytic approaches 98—99
Turbulent combustion, definition 98
Turbulent combustion, multifaceted nature 97
Turbulent combustion, prospects 127 128
Turbulent combustion, stirred reactor regime 121
Turbulent diffusion 40 105 107 122
Turbulent flame speed 121 122
Turbulent flame, stationary 125
Turbulent flow 99 122
Turbulent flow, confined 121
Turbulent flow, high-intensity 121
Turbulent flow, premixed 121
Turbulent flow, variable density 106
Turing system 26
Two-dimensional detonation 143 144
Uncertainty estimate 85
Undisturbed solution 26
Undisturbed variables 18
Uni-directional behavior 232
Uni-directional propagation 186
Uni-directional propagation, breakdown 217—224
Uni-directional propagation, gaseous combustion 217
Uni-directional propagation, nonlinear chemistry 225
Uni-directional propagation, small perturbation 202
Uni-directional wave 185 203
Uni-directional wave, gaseous combustion 195—199
Uni-directional wave, small perturbation 202
Unstable front 28
Unstable wave field 186
Unsupported detonation 138 140 160 162 170
Variable density 106 128
Velocity field 26 28 50 101
viscosity 9 126 152 190 201 205 208
Viscosity, coefficient 188
Von Neumann point 140
Vorticity 20 21 108
Wave field, dispersive 186
Wave field, unstable 186
Wave head 153 207
wave number 26 27
Wave propagation 44 185
Wave propagation, gaseous combustion 196
Weak detonation wave 35
Weak point 141
Weak shock 211
Weak stretch 124 126
Weak turbulence limit 115
White noise 67
Zeldovich model 15 16 17 33
Zeldovich number 125
Zero-crossing problem 117
ZND model 138 154 172 187
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