Abramowitz functions 63 64 93 108
Absorption event 225
Absorption of radiation 225
Accommodation coefficient for normal momentum 35
Accommodation coefficient for tangential momentum 35
Accommodation coefficients 34 35 109
Activation energy 221 223 224
Adsorption 32 33
Adsorption time 32
Aerodynamic forces 65
Aerosol 66 171
Aerosol particles xv 65 66 252
Aerosol reactors 66
Aerosol science 67
Aerospace 65 66
Analytic continuation 138—140
Angle cutoff 10
Angular momentum conservation 223
Angular velocity 210
Arrhenius formula 221
Artificial satellites 189
Atomic oxygen 220
Attenuation coefficient (of a sound wave) 139
Attenuation parameter 139
Attenuation rate (of a sound wave) 129
Avogadro's number 221
bacteria 66
Beam scattering 36
BGK model 26—28 48 50 82—85 92 95—97 102 105 107 109—114 123 133 137—139 151 152 169—173 207 211 212 235 276 278 287 289 290 292
Bifurcation 246
Bimolecular reaction 220 222
Blunt bodies 236
Body force 46 189 244
Boiling temperature 297
Boltzmann constant 20
Boltzmann equation 1 2 6 7 9—11 15 18 20—22 24—28 30 40 41 44 45 47—51 65 67 68 70 71 75 82 114—117 122 130 141—143 145 147 151 152 154 162 176 180—184 186 187 189 211 216 222 225 230 231 233 235 237 241 244 252 254 255 259—261 265 273 275—278 281 282
Boltzmann gas 56 166 186
Boltzmann inequality 15 22 26 174
Boltzmann — Grad limit 5 7 8 114 186
Boltzmann, L.E. 2 6 25 116 204 210 214
Bounce-back boundary condition 41 44
Boundary 8 18 19 23 30 84 89 92 103 131 137 138 163 174 252 254 275 281 304
boundary conditions 8 23 24 30 40—43 48 50 54 57 60 61 71 72 77 79 84 85 89 90 100 101 103 104 111 112 118 119 137 152 154 163 168 171 173—175 190 216 225 234 252 273 274 278 280 282 283 287 290 291 297 301 302
Boundary data 156
Boundary interactions 231
Boundary layer reattachment 238
Boundary layer separation 238
Boundary layer theory 55
Boundary source 90
Boundary terms 163
Boundary value problem 76 140
Boundary values 164
Bulk velocity 1 16 17 20 26 29 44 46 48 52 53 60 61 63 69 74 76 85 101 103—105 111 112 119 120 135 141 145 154 155 166—169 175 176 178 179 181 187 190 274—276 284 290 297
Capillary 98
Carbon whiskers 66
Catalysts 66
Cavity flow 242 254
Cell size 242 243 263 264
Cellular automata 264
Center-of-mass system 212 221 222
Central force 9 210
Central moments 45 46
Ceramics 66
Cercignani — Lampis (CL) model 36 213 216 234
Chaotic behavior 245
Chapman — Enskog expansion 187 284
Chemical bonds 31
Chemical plants 66
Chemical reactions 1 11 205 206 220 234 239
Chemically reacting flows 114 115 230 231
Chemistry 221 273
Classical mechanics 1 23 209 214
Clausius — Clapeyron equation 288 296
CLL model 234
Clouds 66
Coaxial rotating cylinders 168
Collision 2—5 9 10 107 118 206 207 209—212 217—219 222 223 232—234 258 259 265 287 299
Collision energy 221
Collision frequency 26 27 82 85 109—111 115 135 138 145 146
Collision integral 11 15 26 27 72 114 211 230
Collision invariants 14 18 25 52 53 76 77 90 100 143 166 177 259
Collision iteration 62 68 102
Collision mechanics 231
Collision model 26 110 211 303
Collision operator 11 52 54 75 143
Collision pair 232
Collision term 10 11 13 21 26 44 45 47 50 62 69 110 114 116 130 131 134 135 145 152 153 166 183 186 207 209 211 258 261
Collision-free dynamics 116 232
comets 277
Complex fluids 265
Components of air 204 211 220
Compressible flows 79
Compressible fluid 54 65 141
Compressible scaling 180
Concentration 221
Concentration gradient 66
Condensation 273 275—277 285 286 289 290 292 293 295—299 306
Condensation coefficient 274 298
Condensed phase 273 290 299
Condensing flow rate 292
Connection layer 255
Conservation equations 52 145 147 149 185 259 260
Conservation form 19 186
Constitutive relation 49 64
Contact discontinuity 236
Continuity equation 168 182
Continuous spectrum 137 138
Continuum 204 304
Continuum equations 183 184
Continuum gas dynamics 16
continuum limit 123 124 139 162 169 180 181 186 189 221 293
Continuum mechanics 18 43 57 69 129 157 167 172 173 235 236 306
Continuum model 65 235 236 245
Continuum regime 95 98 186
Convection 187 286 295
Convective motion 246
Correlations 116
Couette flow 41—43 50 57 58 64 67—70 72 75 76 85 92 96 103 111 112 117 119 122 123 130 190
Cross section 209 231 233 239
Cutoff 62 64 76
Cylindrical Couette flow 171
Cylindrical Poiseuille flow 169 170
Deflection angle 231
Degrees of freedom 10
Delta function 37 40 145 163 206 217
Delta wing 238
Dense gas 186
density 1 11 16 20 26—28 43 45 47 48 50 54 60 61 63 65 69 71 76 82 87 91 98 99 104 114 119 120 132 141 142 145 173 178 182 187 190 243 259 274 291 305 306
Density gradient 98
Density parameter 186
Density profile 146 151 153 154
Deposition techniques 263
Detachment angle 236
Detachment Mach number 236
Detailed balance 217 219
Diatomic gases 204 211 304 305
Diatomic molecule 204
Diatomic oxygen 220
Diffuse reflection 60 104 171 173 234 290
Diffusion 187 274 290 291
Diffusion coefficient 221 231
Discontinuity curves 131
Discontinuity surfaces 131
Discontinuous solutions 131 132
Discrete Boltzmann equation 257
Discrete ordinate methods 86 235
Discrete spectrum 139
Discrete velocities 257
Discrete velocity models 122 230 231 256 258—264
Discrete vibrational levels 214
| dispersion relation 137 139 140
Dissipation 183
Dissociating molecule 222
Dissociation 222
Dissociation energy 222
Dissociation-recombination reaction 222
Distribution function 2 11 24 26 31 34 35 40 45 48 50 69—71 79 114 132 138 155 173 177 190 205 209 216 220 221 235 274 277 278 290 291 300 301
Domain decomposition 255
Drag 30 61 88 92 96 122 123 171 190
Drag on a sphere 171 172
Dust 66
Eigenfunctions 36 84
Eigensolutions 84 104 105
Eigenvalues 36 44 46
Elastic collisions 212 213
Elastic cross-section 239
electric field 171
Electric power plants 66
Electron 171 221
Electronic states 225
Elementary mechanics 1
Ellipse of the stresses 122
Ellipsoidal distribution 149
Ellipsoidal statistical (ES) model 28 151
Elliptic cylinders 252
Emission coefficient 225
Emission of radiation 225
Endothermic reaction 222
Energy 18 23 24 26 41 49 114 138 141 190 221 233 259
Energy accommodation coefficient 35
Energy balance 209 222
Energy conservation 185 206 207 217 223 233 258 259
Energy density 17 44
energy equation 53 55 168 286 295
Energy flow 17 18 37 55 72 141 255
energy release 222
Energy states 222
Energy transfer 214
Enthalpies 288
entropy 23 37 41 236
Entropy balance 150 276
Entropy flow 175 176
Entropy inequality 258
Entropy production 41
Entropy source 175
Environmental problems 65
Equilibrium state 24 41 220 274
Euler equations 65 79 129 180—183 185—187 236 237 254 265 276 304
Euler fluid 129 142
Euler — Mascheroni constant 63
Evaporating flow rate 274 291
Evaporating molecules 290 291 297
Evaporating surface 256 277 290
evaporation 273 275—277 280 284—289 293 295—297 299 300 304 306
Evaporation coefficient 274
Evaporation rates 275
Evaporation-condensation 276 277
Evaporation-condensation, coefficient 278 290 292 294 298 299
Evaporation-condensation, profile 299
Excited levels 225
Exothermic reaction 222
Fake collisions 116 217
Finite ordinate schemes 88 102
Finite-Pointset method 234 246 250
Flow domain 234
Flow field 231 232 238 246 254
Flow past a body 171 176 179 182 190
Flow past a cylinder 239
Flow past a sphere 171
Flow past an axisymmetric body 175
Flow rate 35 98 99 101 102 122 123 169 170 173 281
Flow regimes 40
Fluctuations 119 153 154 234 235 244—246
Fluorescence 225
Flying vehicle 65
Fog 66
Fokker — Planck equation 28 36
Fourier transform 164
Fourier's law 176
Fredholm alternative 52 177
Free jet expansions 306
Free molecular conditions 80 101 138
Free molecular flow 35 115 131 133 162 186 189
Free molecular limit 72 95 113 123 139 171 173
Free molecular regime 37 67
Free molecular solution 62 137
frequency 129 136 137
Galilei invariance 260
Gamma function 300
Gas 1 8—10 16—18 22—24 27 30 32 37
Gas constant 20
Gaseous state 288
Gas—surface interaction 1 30 34 35 67 109 115 189 213 221 225
Gas—vapor mixture 299
Grad, H. 69 70 145
Gravity 1 171 245
Grazing collisions 10 62
Green's function 163—165
H-Theorem 22—24 28 210 212 216—219 259
Half-range completeness 105
Half-range polynomial expansion 96 123
Half-space 82 83 87 103 105 131 138 139 162 275—278 286 297 304 306
Half-space problem 40 139 276 289
Hamiltonian 216
Hard spheres 2 7 9 55 56 64 95—97 110 114 115 122 123 138 140 148 155 204 205 217 232 233 246 263 297
Heat 41 50 55
Heat conductivity 27 54 69 82 144 187 216 231 263 284
Heat diffusion 48
Heat flow 1 18 20 37 45 55 61 64 69—71 79 92 122 149 151 166—168 173 176 208
Heat fluxes 65
Heat of reaction 223
Heat transfer 30 84 92 96 122 171 173 190 250 277
Helium 155 235
Hertz — Knudsen formula 274 275 294
High altitude flight 67 122 220
High frequency sound waves 140
High temperatures 204 205 220
High-temperature air 222
Hilbert expansion 54 67 68 103 142 151 165 176 177 183 187 195
Hilbert method 75 143
Hilbert solution 103 104 107
Hilbert space 30
Homoenergetic affine flows 44 45 68
Hydrogen 204
Hypersonic flow 235 236 239 241 245
Hypersonic jet 306
Hypersonic speed 220
Hysteresis 236
Ideal fluid 79 129 141
Impact parameter 231
Incomplete accommodation 234
Incompressible fluid 178 182 265
Incompressible viscous flows 245
Industrial emissions 66
Industrial processes 263
Inelastic collisions 212 213
Inelastic scattering 225
Inertial motion 232
Initial chaos assumption 8
Initial conditions 43 75 156 182
Initial data 49 129 156 233 236
Instability 241 243 245
Interaction potential 31
Interface conditions 255
Interfaces 255 265 273 297 299
Intermolecular force 10 47 54 64 231
Intermolecular potentials 62
Internal degrees of freedom 211 212 214 221
Internal energy 10 18 20 23 185 187 209 212 221 223 224 300
Internal state 209 231
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