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Fox R.O. Ч Computational Models for Turbulent Reacting Flows
Fox R.O. Ч Computational Models for Turbulent Reacting Flows

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Ќазвание: Computational Models for Turbulent Reacting Flows

јвтор: Fox R.O.

јннотаци€:

This survey of the current state of the art in computational models for turbulent reacting flows carefully analyzes the strengths and weaknesses of the various techniques described. Rodney Fox focuses on the formulation of practical models as opposed to numerical issues arising from their solution. He develops a theoretical framework based on the one-point, one-time joint probability density function (PDF). The study reveals that all commonly employed models for turbulent reacting flows can be formulated in terms of the joint PDF of the chemical species and enthalpy.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 1st edition

√од издани€: 2003

 оличество страниц: 419

ƒобавлена в каталог: 09.08.2009

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Arithmetic-to-geometric-diffusivity ratio      91
Batch reactor      3 4 9 10 188
Batchelor scale      57Ч60 73 74 85 103 111 112 121 128 198 199 272
Beta PDF      65 110 175 176 206 210 214 215 217 218 232 236 239 265 276 283 286 325
Beta PDF, bi-variate      176
Beta PDF, conditional scalar dissipation rate      276 283 286 325
Beta PDF, Fokker Ч Planck equation      276 283 286
Beta PDF, multi-variate      176 283
Beta PDF, uni-variate      175 176 286 325
Binary mixing      64 65 161 175 179 182 189 267 284 286 379
boundary conditions      57 114 126 146 157Ч160 202 204 206 212 228 236 255 260 264 346Ч348
Boundary conditions, composition PDF      267 344
Boundary conditions, conditional moments      286
Boundary conditions, Fokker Ч Planck equation      280
Boundary conditions, inflow      346 347
Boundary conditions, non-zero-flux wall      348
Boundary conditions, outflow      158 346
Boundary conditions, periodic      101 112 199
Boundary conditions, symmetry      346 347
Boundary conditions, use in Monte-Carlo simulations      344Ч346
Boundary conditions, velocity PDF      260
Boundary conditions, zero-flux wall      158 346
CD model      264 268 269 273Ч275 297
CD model, constraints and desirable properties      273 274
CFL condition      341 343 346 353
Chapman Ч Kolmogorov equation      298
Chemical reactions      2Ч4 7 9 11 16 18 20 24 58 64 91 95 104 110 113 120 125 250 264 266 269 384
Chemical reactions, conserved scalars      147
Chemical reactions, element conservation      144 145
Chemical reactions, elementary      141 142 144Ч146 152 177
Chemical reactions, fast      4 7 14 15 95 127 134 152Ч154 207 221 310 346
Chemical reactions, finite-rate      7 153Ч156
Chemical reactions, isothermal      151
Chemical reactions, liquid-phase, sensitivity to micromixing      207
Chemical reactions, non-elementary      141 143 146Ч150 152
Chemical reactions, non-isothermal      150
Chemical reactions, one-step      154 155
Chemical reactions, simple      149 180Ч193
Chemical reactions, slow      4 7 152 153
Chemical source term      5 9 11 13 16Ч18 21Ч23 26 58 62 68 69 91 110 113 125 140Ч144 149 150 152 156 157 177 179 180 193 194 203 209 211 216Ч219 221 232 234 235 239 241Ч244 249Ч251 266 270 272 282 285 293 308Ч321 329 330 337 383
Chemical source term for covariance dissipation range      95
Chemical source term for joint scalar dissipation rate      95 327
Chemical source term for scalar covariance      91 95 156 326
Chemical source term in LSR model      326
Chemical source term in PDF transport equation      249 261
Chemical source term, characteristic length scale      125
Chemical source term, conditional      68 207 209 211 234
Chemical source term, correlation with velocity      84 124 125
Chemical source term, decoupling from transport      178 309 345
Chemical source term, definition      18 141Ч143
Chemical source term, definition, Arrhenius form      144
Chemical source term, definition, chemical species      142
Chemical source term, definition, composition vector      143
Chemical source term, definition, element matrix      144
Chemical source term, definition, equilibrium constant      144
Chemical source term, definition, Jacobian matrix      151 313
Chemical source term, definition, rate constants      142 144
Chemical source term, definition, reaction coefficient matrix      143 146
Chemical source term, definition, reaction rate functions      143
Chemical source term, definition, reaction rate vector      143
Chemical source term, definition, specific enthalpies      143
Chemical source term, definition, stoichiometric coefficients      142
Chemical source term, definition, time scales      152
Chemical source term, effect on joint scalar dissipation rate      271
Chemical source term, equilibrium-chemistry limit      177
Chemical source term, filtered      110 238
Chemical source term, fluctuating      90
Chemical source term, Jacobian      92 95 141 143 327
Chemical source term, lookup table      178Ч180 240 310Ч321 330 346
Chemical source term, moment closures      84 90 91 125 150 151 153Ч156
Chemical source term, moment closures, first-order      153Ч155
Chemical source term, moment closures, higher-order      155Ч156
Chemical source term, reaction-progress variables      181 182
Chemical source term, Reynolds-averaged      18 21 22 67 81 114 141 150Ч151 155 157 207 209Ч211 219 221 222 233 243 244
Chemical source term, SGS closures      109 110 180 237 238
Chemical source term, stiff kinetics      180 308 346
Chemical source term, volume-averaged      6 22
Chemical time scales      2 7 11 110 141 142 151Ч154 157 177 180 308 310 312 315
Chemical time scales in definition of Da      152
Chemical time scales, definition      151 152
Chemical time scales, local      314
Competitive-consecutive reactions      147 151 155 181 184Ч188 193 210 273
Competitive-consecutive reactions in a semi-batch reactor      188
Competitive-consecutive reactions, infinite-rate      185
Competitive-consecutive reactions, limiting cases      185 187 210
Competitive-consecutive reactions, mixing line      186Ч188
Competitive-consecutive reactions, mixture fraction      185
Competitive-consecutive reactions, reaction-progress variables      185
Competitive-consecutive reactions, sensitivity to micromixing      188 193
Composition PDF      9 10 18 19 21 22 25 62 64Ч66 68 109 141 142 151 153 156 157 194 219 221 232 241Ч244 249Ч251 262 270 273 275 276 281 285 287 293 300 330 331 334 335 337 372Ч374
Composition PDF codes      329Ч339 361
Composition PDF codes, advantages and disadvantages      339 353Ч354
Composition PDF codes, Eulerian      329Ч339 343
Composition PDF codes, Eulerian, numerical diffusion      352
Composition PDF codes, Lagrangian      329 330 340Ч354
Composition PDF codes, Lagrangian, numerical diffusion      352
Composition PDF codes, LES      329
Composition PDF codes, Monte-Carlo simulation      344Ч346
Composition PDF codes, notional-particle representation      340Ч344
Composition PDF codes, particle-field estimation      340 348Ч352
Composition PDF in DQMOM      373 374 379 383 384
Composition PDF, allowable region      264 266Ч267 284
Composition PDF, binary mixing      65
Composition PDF, conditional      68 141 157 208 233 235 237
Composition PDF, definition      62
Composition PDF, derivation of transport equation      249Ч251
Composition PDF, effect of molecular diffusion      65
Composition PDF, empirical PDF      307
Composition PDF, Gaussian limit      264 265
Composition PDF, histogram      18 21 22
Composition PDF, Lagrangian      294 298
Composition PDF, LES      109 237
Composition PDF, linearity      264 266Ч268
Composition PDF, local mixing      264 268Ч271
Composition PDF, models for conditional diffusion      262 263 273Ч287
Composition PDF, moment closures      153
Composition PDF, presumed      25 142 156 219 221 222 227 233 237
Composition PDF, Re, Sc, and Da dependence      264 272Ч273
Composition PDF, relationship to CRE approach      66 194 195 251
Composition PDF, relationship to mixture-fraction PDF      68
Composition PDF, relationship to Reynolds-averaged chemical source term      67
Composition PDF, relationship to velocity, composition PDF      63 244
Composition PDF, scalar length-scale distribution      66 264 265 271Ч272
Composition PDF, scalar-conditioned velocity fluctuations      251
Composition PDF, two-point      70
Computational fluid dynamics      2 4 8 11 13Ч15 17Ч19 21 25Ч27 29 32 44 67 88 113 114 120Ч122 140 154 161 175 176 179 180 197 200 223 232 240 259 260 330 383
Conditional acceleration      26 248 254Ч261 294 295 321
Conditional acceleration, decoupling from scalar field      255
Conditional acceleration, definition      254
Conditional acceleration, extension to velocity, composition PDF      258
Conditional acceleration, models      255Ч258
Conditional acceleration, models, GLM      257Ч258
Conditional acceleration, models, SLM      257
Conditional diffusion      26 248 254 259 261Ч287 296 308
Conditional diffusion, constraints and properties      262Ч273
Conditional diffusion, definition      261
Conditional diffusion, models      261Ч265 273Ч287
Conditional diffusion, models, CD      273Ч274
Conditional diffusion, models, EMST      269
Conditional diffusion, models, FP      275Ч286
Conditional diffusion, models, GIEM      267
Conditional diffusion, models, IEM      274Ч275
Conditional diffusion, models, VCIEM      275 297
Conditional fluxes      248Ч249
Conditional fluxes, acceleration      248
Conditional fluxes, reaction/diffusion      248
Conditional gradient-correlation matrix      279
Conditional gradient-correlation matrix, relationship to FP model      278
Conditional moment closures      69 207Ч216 218 236 239 277 279 285
Conditional moment closures, conditional scalar dissipation rate      69 211Ч214
Conditional moment closures, conditional scalar dissipation rate, presumed forms      214
Conditional moment closures, conditional scalar dissipation rate, relationship to mixture-fraction PDF      211
Conditional moment closures, formulation      207Ч209
Conditional moment closures, formulation, conditional fluctuations      208
Conditional moment closures, formulation, conditional means      208
Conditional moment closures, formulation, higher-order conditional moments      208
Conditional moment closures, formulation, unconditional means      208
Conditional moment closures, homogeneous flow      211Ч212
Conditional moment closures, inhomogeneous flow      214Ч216
Conditional moment closures, inhomogeneous flow, gradient-diffusion model      215
Conditional moment closures, inhomogeneous flow, limitations      215
Conditional moment closures, presumed conditional moments      209Ч211
Conditional moment closures, treatment of chemical source term      209
Conditional pdf      31 67Ч69 107Ч109 196 204 216 217 233Ч237 250 288
Conditional PDF, conditional expected values      31
Conditional PDF, definition      31
Conditional PDF, Lagrangian      300
Conditional scalar dissipation rate      23 24 212 213 234 236 279 325
Conditional scalar, boundary conditions in composition space      280
Conditional scalar, closed form for mixture-fraction vector      283
Conditional scalar, definition      69
Conditional scalar, effect of chemistry      286
Conditional scalar, joint      211
Conditional scalar, relationship to beta PDF      214 276 285
Conditional scalar, relationship to CMC      211
Conditional scalar, relationship to FP model      275
Conditional statistics      67Ч69 287
Conditional statistics, definition      67
Conditional statistics, use in PDF methods      69
Correlation functions      32 62
Correlation functions, spatial      32Ч34 36 69Ч71
Correlation functions, spatial, longitudinal      33
Correlation functions, spatial, scalar      70 71
Correlation functions, spatial, scalar cross-correlation      70
Correlation functions, spatial, scalar-velocity      70
Correlation functions, spatial, transverse      33
Correlation functions, spatial, velocity      33 36
Correlation functions, temporal      34Ч35
Correlation functions, temporal, Lagrangian      34 288 292 293 297
Correlation functions, temporal, velocity      35
CRE approach      2Ч17 25 194 195 251
CRE approach, micromixing models      12Ч14
CRE approach, micromixing time      14Ч15
CRE approach, PFR and CSTR models      5Ч7
CRE approach, relationship to composition PDF description      66 195
CRE approach, relationship to FM approach      16 23 24
CRE approach, RTD theory      8Ч10
CRE approach, zone models      10Ч11
CSTR model      3Ч10 13 14 66 127 128 194 195 198
Damkoehler number      103 152
Damkoehler number, definition      152
Damkoehler number, effect on molecular mixing      264 272Ч273
Differential diffusion      56 78 80 91 96Ч99 122 135 149 215 244 264 272 274 275 278 280 284 365
Differential diffusion, decaying scalars      98Ч99 138Ч139
Differential diffusion, dissipation-range correlation function      138
Differential diffusion, homogeneous turbulence      97
Differential diffusion, mean scalar gradients      98 137Ч138
Differential diffusion, multi-variate LSR model      325Ч326
Differential diffusion, multi-variate SR model      135Ч139 325
Differential diffusion, Re dependence      96 98 99 139
Differential diffusion, scalar correlation function      96
Differential diffusion, scalar-gradient correlation function      96
Differential diffusion, spectral model      135
Dissipation range      40 53 54 131 136 367
Dissipation range, scalar      75 79 88 89 94 113 131 137Ч139 326 365 369 370
Dissipation range, velocity      39 43 54 88 104
DNS      18 100Ч104 110 239 245
DNS, computational cost      18 101 102
DNS, homogeneous turbulence      28 29 63 64 101Ч102
DNS, reacting flow      102Ч104 178
DNS, relationship to LEM      110 113
DNS, relationship to LES      104 106 110
DNS, relationship to RANS      121
DNS, use for model validation      20 23 24 74 75 97Ч99 102 104 127 131 132 135 139 201 207 242 249 258 263 265 267 270 276 289 292 293 322 364 368 370 371
DQMOM      373Ч386
DQMOM, bi-variate case      379Ч382
DQMOM, bi-variate case, linear system for source terms      380
DQMOM, bi-variate case, presumed PDF      379
DQMOM, bi-variate case, relationship to moments      380
DQMOM, bi-variate case, transport equation      380
DQMOM, multi-variate case      382Ч384
DQMOM, multi-variate case, linear system for source terms      382
DQMOM, multi-variate case, transport equation      382
DQMOM, relationship to multi-environment PDF models      383
DQMOM, relationship to QMOM      373
DQMOM, uni-variate case      374Ч379
DQMOM, uni-variate case, linear system for source terms      374
DQMOM, uni-variate case, presumed PDF      374
DQMOM, uni-variate case, relationship to moments      375
DQMOM, uni-variate case, transport equation      374
DQMOM-IEM      384Ч386
DQMOM-IEM, realizability      384
DQMOM-IEM, relationship to DQMOM      384
DQMOM-IEM, relationship to multi-environment PDF models      386
DQMOM-IEM, Vandermonde matrix      385
Ellipsoid of accuracy      316Ч318
Ellipsoid of accuracy, definition      316
Ellipsoid of accuracy, use in IS AT      317 318
Empirical PDF      300Ч302 307 331 332 337
Empirical PDF, definition      301
Empirical PDF, dependence on grid and particle numbers      301
Empirical PDF, Glivenko Ч Cantelli theorem      302
Empirical PDF, PDF estimation      307
Empirical PDF, relationship to notional particles      330 337
Empirical PDF, relationship to particle-field estimation      340
EMST model      269Ч271
EMST model, flame-sheet example      270
Energy spectrum, coherency      365
Energy spectrum, energy dissipation      38 41 197
Energy spectrum, LES      105
Energy spectrum, scalar      56 57 59 62 66 69 71Ч75 77Ч79 87 88 94 97 113 127 264 265 270 363 364 368
Energy spectrum, scalar dissipation      72 75 369
Energy spectrum, scalar, compensated      76
Energy spectrum, scalar, definition      71
Energy spectrum, scalar, energy-containing range      73
Energy spectrum, scalar, inertial-convective sub-range      73
Energy spectrum, scalar, inertial-diffusive sub-range      73
Energy spectrum, scalar, model      72Ч78
Energy spectrum, scalar, Re and Sc dependence      75
Energy spectrum, scalar, viscous-convective sub-range      75
Energy spectrum, scalar, viscous-diffusive sub-range      74
Energy spectrum, scalar-covariance      72 94 363Ч365
Energy spectrum, scalar-flux      72 78 128 130 363 366
Energy spectrum, transfer      78 363 364 367 368
Energy spectrum, turbulent      36Ч42 51 53 54 73 75 76 78 79 85 104 127 132 364 368
Energy spectrum, turbulent, compensated      76
Energy spectrum, turbulent, definition      37
Energy spectrum, turbulent, dissipation range      39
Energy spectrum, turbulent, energy-containing range      39
Energy spectrum, turbulent, inertial range      39
Energy spectrum, turbulent, model      39Ч41 54 73Ч75
Energy spectrum, turbulent, Re dependence      40
Energy spectrum, turbulent, universal equilibrium range      40
Energy-containing range      73 129 365
Energy-containing range, scalar      73
Energy-containing range, velocity      39 40 57 85
Ensemble average      20 108 200 245 260 289 293 298 302 309 323 328 348
Ensemble average, cloud-in-cell      349
Ensemble average, relationship to empirical PDF      332
Ensemble average, statistical error      332
Equilibrium-chemistry limit      156 157 177Ч180 182 205 207 211
Equilibrium-chemistry limit, chemical time scales      177
Equilibrium-chemistry limit, LES      180
Equilibrium-chemistry limit, lookup table      178
Equilibrium-chemistry limit, reacting scalars      177Ч178 180
Equilibrium-chemistry limit, reacting scalars, covariances      179
Equilibrium-chemistry limit, reacting scalars, means      179
Equilibrium-chemistry limit, relationship to mixture-fraction PDF      179Ч180
Equilibrium-chemistry limit, turbulent flow      178Ч180
Estimation errors      26 299 302 304 305 309 328 342 352
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