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| Авторизация |
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| Buckmaster J. — The Mathematics of combustion |
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| Предметный указатель |
Acoustic disturbance 17
Acoustic disturbance, linear chemistry 205
Acoustic instability 33 123
Acoustic signal 176
Acoustic time scale 38
Acoustic wave 18 142 143 184 205 208 209
Activation energy 7 12 14 15 16 22 23 26 106 185 188 202 239
Activation energy, asymptotics 22 23 35 119 124
Activation energy, infinite 23
Activation energy, limit, nonlinear chemistry 224
Activation energy, nondimensional 12 14
Activation energy, number 192 194 195
Activation energy, number, nonlinear chemistry 225
Adiabatic flame speed 19 29
Adiabatic flame temperature 11 16 19 23 26 28
Adiabatic treatment for detonation 144
Adjoint technique 77
Age theory 108 120
AIM method 57
Ambient atmosphere 184 185 187 201 204 219
Ambient atmosphere and chemical equilibrium 191
Ambient atmosphere, disturbance behavior 192 220
Ambient atmosphere, equations for 191—194
Ambient atmosphere, gaseous combustion 191—193
Ambient atmosphere, nonlinear chemistry 225
Ambient atmosphere, premixed 191
Ambient atmosphere, spatial uniformity 191
Ambient reaction rate 203
Amplification factor, linear chemistry 210 218 219
Amplitude factor, linear chemistry 204 218 219
Analog, detonation 134—145
Analog, detonation, applications and limitations 152 153
Arrhenius factor 7 24 61 106 151
Arrhenius factor, exponential 23
Arrhenius factor, kinetics 13 43
Arrhenius factor, reaction rate 136 161 188
Arrhenius factor, temperature 164 176
Asymptotic analysis 23—25 28 35 36 73 220
Asymptotic analysis, turbulence 109
atomic scale 47 51 89
Autocatalysis 68
Averaging, turbulence 104
Backward acoustic characteristic 147 148
Beta function distribution 116
Bifurcation points 54
Blowoff 118 119
Bluff-body flame holder 121
Boltzmann equation 102
Boundary condition 34 35 53 60 157 165 166 167 174 176 228
Boundary condition, deterministic 99
Boundary condition, rear 140
Boundary condition, sensitivity 61
Boundary condition, stochastic 99
Boundary condition, turbulent flow 101
Boundary layer formulation 40
Boundary pressure 176 177 178 179
Boundary value problem 184 191
Boundary velocity 140
Bromwich contour 206
Bulk phenomenon 88 89
Buoyancy 40—42
Buoyant instability 122
Burgers equation 133 152 185 186 204 205 211 225 226
Burke — Schumann limit 37
Burning velocity 121 see
Cell structure 19 27 142 161 183
Cellular instability 27 28 42
Chapman — Jouget detonation 138 140 155 156 160 see
Chapman — Jouget point 140 142
Chapman — Jouget velocity 140
Characteristic growth constant 73
Characteristic length 34 41
Characteristic mass flux 34
Characteristic parameter 197
Characteristic parameter, gaseous combustion 240
Characteristic speed 42 140 153 166 167
Characteristic temperature 34
Charles' law 41
Chemical activity 186
Chemical composition field 184
Chemical concentration 55
Chemical energy, gaseous system 183
Chemical equilibrium, turbulent combustion 111
Chemical instability 67 73
Chemical kinetics 7—9 55 89 98 102 107
Chemical reactor 71 121
Chemical species 65 71 72 99
Chemical species, concentration 64 67 73
Chemical species, conservation 101 188
Chemically frozen flow 198
Chuffing 33
CJ see "Chapman — Jouget"
Classical wave equation 223
Closure 101 105 128
Closure, turbulence 101 102
Coherence 187
Cold boundary difficulty 11 44 191
Cole — Hopf reduction 205
Collision cross section 88
Colored noise 67
Combustible gases, finite amplitude waves in 183—245
Combustion energy number 194
Combustion equations 50 59
Combustion field 10 38
Combustion theory, fundamentals of 3—46
composition 173 175
Compression wave 229 230
Compression wave, gas dynamical 187
Compression wave, linear chemistry 210 211
Concentration 13 16 67 68 76
Concentration as dependent variable 77
Concentration correlation function 68
Concentration gradient 5 55
Concentration profile 59 74 75 89
Concentration trajectory 68
Concentration, mean 68
Conduction coefficient 27
Conduction-diffusion scale 29
Connectivity of reactions 89
Conservation condition 135
Conservation equation 6 99 124 125 188
Conservation equation, nonlinear 104
Conservation equation, small disturbance 236
Conserved scalar 128
Conserved scalar, turbulence 107
Constant density model 26 30 32 101 174
Constant diffusivity 101
Control 49 64 71 90 91
Cordite 35
Correlation 84
Correlation, diffusion and rate 81
Coulombic interaction 88
Countergradient diffusion 107 116
Coupling 54 89 185
Coupling and network theory 89
Coupling, chemical 89 185 186 189
Coupling, chemical radicals 71 72
Coupling, chemistry and wave processes 185 189
Coupling, diffusion and kinetic 80
Coupling, gas dynamical 186 187
Covariance 66 84 85
Curvature 19 20 21 124 143
Curvature, laminar flame 121
Curvature, reaction sheet 124
Daemkohler number 36 110 112 113 124
Darrieus — Landau analysis 19 33
DDT see "Deflagration to detonation transition"
Dead water hypothesis 22
Deflagration 16 17 25 26
Deflagration initiation, detonation 144
| Deflagration to detonation transition 44 144 145 187
Deflagration wave 10—12 19 23 25 26 33 133 see
Delta function 25—35 115 124
Delta function, Dirac 25 76 238
Delta function, Kronecker 57
Derived sensitivity 76—82
Deterministic system 52 53 69
Detonation 9 17 44 133 see
Detonation front 138 143
Detonation Hugoniot 142
Detonation in a tube 143 157
Detonation in miniature 133—181
Detonation pressure 140
Detonation velocity 140 143
Detonation wave 35 133 152 183
Detonation wave, ZND model 138
Detonation, current theory 134 142—145
Detonation, galloping 161 162 164
Detonation, initiation 144 172—180
Detonation, physical system for 134—145
Detonation, spherical 142
Detonation, steady 154
Detonation, two-dimensional 144
Diffusion approximation 105
Diffusion coefficient 27 53 82
Diffusion dominated process 185
Diffusion flame 7 16 35—42 111 113 117 120
Diffusion flame, chemical equilibrium 118
Diffusion flame, distributed reaction 119
Diffusion flame, instability 122
Diffusion flame, reaction sheet 115—119 127
Diffusion flame, turbulent jet 120
Diffusion process 80
Diffusive mass flux 188
Diffusive term 152
Diffusive-thermal instability 123
Diffusivity 209
Dimensionless equations, gaseous combustion 193—195
Dirichlet problem 61
Dispersive wave system 186 223 242
Dissipation length 116
Distinguished limit 24 200 201 220
Distributed parameters 49 50
Distributed reaction regime 127
Disturbance amplitude 185
Dynamic equilibrium 57 58
Dynamical equation 50 54
Eddy breakup model 105 121
Eigenvalue detonation 141 156
Eigenvalue detonation, unsupported 156
Eigenvalue-eigenvector analysis 91
Elementary sensitivity see "Sensitivity"
Elliptic problem 29
Energy balance equation 53 61
Energy conservation 61 136 188
energy equation 4 11 13
Energy flux 4 6 61 188
Enthalpy 4 5 107 111 188 189
entropy 17 136
Entropy, analog 151
Equal-areas formula 213
Equation of motion 53 166
Equation of state 4 10 11 38 41 137 145 161 165 166 176 189
Equation of state, analog 149 150 152
Equation of state, polytropic gas 177
Equation of state, thermal 136
Equation of state, turbulent combustion 111
Equilibrium constant 8
Equilibrium constant, analog 151
Equilibrium dependence 117
Equilibrium limit 37
Equilibrium sound speed 153 154
Error analysis 48 82 85
Error analysis, sensitivity analysis 82
Error propagation 51
ESCIMO theory 108
Euler equation 19 103
Euler equation, inviscid compressible flow 134 135
Euler equation, nonreactive 145
Exothermic reaction 15 184
Exothermic reaction, gaseous combustion 196
Expectation 66 67
Extinction 31 38 45 118
Extinction, fuel drop 45
Extinction, laminar flame 127
Extinction, local 118
Extracted parameter 82
Far field 28 123 126 175
Favre average 106
Feature parameter 75 76
Feature sensitivity analysis 52 73—77 86
Fick's law 5 188
Finite amplitude waves in combustible gases 183—245
Finite difference method 88
Finite difference method, turbulence 103
Finite element method, turbulence 103
Finite excursion 91 92
Fitting 74 75
Fizz burning 33—35
Flame bubble 28
Flame curvature see "Curvature"
Flame length 18 19 117
Flame profile 82
Flame propagation 28 44
Flame sheet 23 24 26 29 30 37 39 40 122 134
Flame sheet model 32 37 117
Flame sheet, spherical 28
Flame sheet, thickness 39
Flame speed 11 12 22 26 31 82
Flame speed, negative 31 32
Flame stretch 123 124
Flame stretch, reaction-sheet regime 123
Flame stretch, weak 124
Flame structure 17 18 23
Flame tip 22 29
flicker 40
Flow characteristic 174
Flow field 30 183
Flow, statistical properties 101
Flow, turbulent variable density 106
Fluctuation dissipation theorem 66 67
Fluid dynamic instability 123
Fluid flow, equations of 98
Fluid instabilities 99
Fluid mechanics 26 32 38 42 47 121
Fluid mechanics, turbulence 107
Fluid mechanics, velocity, upstream 124
Flux see "Specific parameters"
Fokker — Planck equation 68
Following flow 160
Forced convection 40
Forward acoustic characteristic 147 148
Frechet derivative 63
Frequency dependence 59
Fresh gas 19 21
Front 19
Frozen chemistry 210 211
Frozen Rankine — Hugoniot shock 212
Frozen sound speed 136 143 150 153 190 222 223 237
Frozen sound speed, adiabatic 223
Frozen sound speed, nonlinear chemistry 224
Frozen specific heat 189
Fuel drop 35
Fuel-lean (rich) mixture 12 13 27 28
Functional derivative 63 64 65 70
Functional equation, turbulent combustion 99
Functional sensitivity analysis 49 62—65
Functional variation 63 70
Fundamental equations of combustion theory 3—7
Gallop 161 162 164
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