Computational models for turbulent reacting flows:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge series in chemical engineering
|
| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XVI, 418 S. graph. Darst. |
| ISBN: | 0521650496 0521659078 |
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Datensatz im Suchindex
| _version_ | 1804129970360942592 |
|---|---|
| adam_text | Contents
Preface page xiii
1 Turbulent reacting flows 1
I. I Introduction 1
1.2 Chemical-reaction-engineering approach 3
1.2.1 PFR and CSTR models 5
1.2.2 RTD theory 8
1.2.3 Zone models 10
1.2.4 Micromixing models 12
1.2.5 Micromixing time 14
1.3 Fluid-mechanical approach 15
1.3.1 Fundamental transport equations 16
1.3.2 Turbulence models 17
1.3.3 Chemical source term 18
1.3.4 Molecular mixing 23
1.4 Relationship between approaches 24
1.5 A road map to Chapters 2-7 25
2 Statistical description of turbulent flow 27
2.1 Homogeneous turbulence 27
2.1.1 One-point probability density function 29
2.1.2 Spatial correlation functions 32
2.1.3 Temporal correlation functions 34
2.1.4 Turbulent energy spectrum 36
2.1.5 Model velocity spectrum 39
2.1.6 Spectral transport 41
vii
2.2 Inhomogeneous turbulence 44
2.2.1 Expected values of derivatives 45
2.2.2 Mean velocity 47
2.2.3 Reynolds stresses 48
2.2.4 Turbulent dissipation rate 51
3 Statistical description of turbulent mixing 56
3.1 Phenomenology of turbulent mixing 56
3.1.1 Length scales of turbulent mixing 57
3.1.2 Phenomenological model for turbulent mixing 58
3.2 Homogeneous turbulent mixing 62
3.2.1 One-point velocity, composition PDF 62
3.2.2 Conditional velocity and scalar statistics 67
3.2.3 Spatial correlation functions 69
3.2.4 Scalar energy spectrum 71
3.2.5 Model scalar spectrum 73
3.2.6 Scalar spectral transport 78
3.3 Inhomogeneous turbulent mixing 80
3.3.1 Scalar mean 81
3.3.2 Scalar flux 82
3.3.3 Scalar variance 84
3.3.4 Scalar dissipation rate 86
3.3.5 Scalar covariance 90
3.3.6 Joint scalar dissipation rate 92
3.4 Differential diffusion 96
3.4.1 Homogeneous turbulence 97
3.4.2 Mean scalar gradients 98
3.4.3 Decaying scalars 98
4 Models for turbulent transport 100
4.1 Direct numerical simulation 100
4.1.1 Homogeneous turbulence 101
4.1.2 Reacting flow 102
4.2 Large-eddy simulation 104
4.2.1 Filtered Navier-Stokes equation 104
4.2.2 LES velocity PDF 106
4.2.3 Scalar transport 108
4.2.4 Reacting flow 109
4.3 Linear-eddy model 110
4.3.1 Homogeneous flows 111
4.3.2 Inhomogeneous flows 113
4.4 RANS turbulence models 114
4.4.1 Turbulent-viscosity-based models 114
4.4.2 Reynolds-stress transport equation 117
4.5 RANS models for scalar mixing 120
4.5.1 Turbulent-diffusivity-based models 121
4.5.2 Scalar-flux transport equation 123
4.5.3 Scalar-variance transport equation 125
4.5.4 Scalar-dissipation transport equation 126
4.6 Non-equilibrium models for scalar dissipation 127
4.6.1 Spectral relaxation model 128
4.6.2 Spectral transfer rates 132
4.6.3 Extensions of the SR model 135
4.7 Models for differential diffusion 135
4.7.1 Multi-variate SR model 135
4.7.2 Mean scalar gradients 137
4.7.3 Decaying scalars 138
4.8 Transported PDF methods 140
5 Closures for the chemical source term 141
5.1 Overview of the closure problem 141
5.1.1 Chemical source term 142
5.1.2 Elementary reactions 144
5.1.3 Non-elementary reactions 146
5.1.4 Reynolds-averaged chemical source term 150
5.1.5 Chemical time scales 151
5.2 Moment closures 153
5.2.1 First-order moment closures 153
5.2.2 Higher-order moment closures 155
5.3 Mixture-fraction vector 156
5.3.1 General formulation 157
5.3.2 Definition of mixture fraction 161
5.3.3 Example flows 168
5.3.4 Mixture-fraction PDF 174
5.4 Equilibrium-chemistry limit 177
5.4.1 Treatment of reacting scalars 177
5.4.2 Application to turbulent reacting flows 178
5.5 Simple chemistry 180
5.5.1 General formulation: reaction-progress variables 181
5.5.2 One-step reaction 182
5.5.3 Competitive-consecutive reactions 184
5.5.4 Parallel reactions 189
5.6 Lagrangian micromixing models 193
5.6.1 IEM model for a stirred reactor 194
5.6.2 Age-based models 195
5.6.3 Lagrangian models for the micromixing rate 197
5.6.4 Mechanistic models 198
5.6.5 Extension to inhomogeneous flows 200
5.7 Laminar diffusion flamelets 201
5.7.1 Definition of a flamelet 201
5.7.2 Stationary laminar flamelet model 204
5.7.3 Joint mixture fraction, dissipation rate PDF 205
5.7.4 Extension to inhomogeneous flows 206
5.8 Conditional-moment closures 207
5.8.1 General formulation: conditional moments 207
5.8.2 Closures based on presumed conditional moments 209
5.8.3 Conditional scalar mean: homogeneous flow 211
5.8.4 Conditional scalar dissipation rate 212
5.8.5 Extension to inhomogeneous flows 214
5.9 Presumed PDF methods 216
5.9.1 Single reaction-progress variable 216
5.9.2 Multiple reaction-progress variables 218
5.10 Multi-environment presumed PDF models 221
5.10.1 General formulation 222
5.10.2 Extension to inhomogeneous flows 226
5.10.3 Multi-environment conditional PDF models 233
5.10.4 Extension to LES 237
5.1 I Transported PDF methods 239
6 PDF methods for turbulent reacting flows 241
6.1 Introduction 241
6.1.1 Velocity, composition PDF 242
6.1.2 Composition PDF 244
6.2 Velocity, composition PDF transport equation 244
6.2.1 Mean converted derivative: first form 245
6.2.2 Mean convected derivative: second form 246
6.2.3 joint PDF transport equation: final form 248
6.2.4 Conditional fluxes: the unclosed terms 248
6.3 Composition PDF transport equation 249
6.3.1 Derivation of transport equation 249
6.3.2 Scalar-conditioned velocity fluctuations 251
6.3.3 Relationship to Lagrangian micromixing models 251
6.4 Relationship to RANS transport equations 252
6.4.1 RANS mean velocity transport equation 252
6.4.2 Reynolds-stress transport equation 254
6.5 Models for conditional acceleration 254
6.5.1 Velocity PDF: decoupling from the scalar field 255
6.5.2 Velocity PDF closures 255
6.5.3 Corresponding Reynolds-stress models 256
6.5.4 Generalized Langevin model 257
6.5.5 Extension to velocity, composition PDF 258
6.5.6 Coupling with mean pressure field 259
6.5.7 Wall boundary conditions for velocity PDF 260
6.5.8 Large-eddy PDF methods 260
6.5.9 Velocity, wavenumber PDF models 261
6.6 Models for conditional diffusion 261
6.6.1 Some useful constraints 262
6.6.2 Desirable properties for mixing models 263
6.6.3 Physical basis for desirable properties 264
6.6.4 Three simple mixing models 273
6.6.5 Prospects for mixing model improvements 286
6.7 Lagrangian PDF methods 287
6.7.1 Lagrangian notional particles 287
6.7.2 Lagrangian fluid particles 289
6.7.3 Spatial distribution of notional particles 290
6.7.4 Relationship to Eulerian PDF transport equation 290
6.7.5 Stochastic differential equations for notional particles 292
6.7.6 Lagrangian velocity PDF closures 294
6.7.7 Lagrangian mixing models 296
6.8 Particle-field estimation 298
6.8.1 Notional particles 298
6.8.2 Empirical PDF 300
6.8.3 Errors in mean-field estimate 302
6.8.4 PDF estimation 307
6.9 Chemical source term 308
6.9.1 Stiff kinetics 308
6.9.2 Decoupling from transport terms 309
6.9.3 Pre-computed lookup tables 310
6.9.4 In situ adaptive tabulation 312
6.10 Higher-order PDF models 321
6.10.1 Turbulence frequency 321
6.10.2 Lagrangian SR model 322
6.10.3 LSR model with differential diffusion 325
6.10.4 LSR model with reacting scalars 326
7 Transported PDF simulations 328
7.1 Overview of simulation codes 329
7.2 Eulerian composition PDF codes 331
7.2.1 Particle transport processes 332
7.2.2 Numerical diffusion 336
7.2.3 Other considerations 337
7.3 Lagrangian composition PDF codes 340
7.3.1 Notional-particle representation 340
7.3.2 Monte-Carlo simulation 344
7.3.3 Boundary conditions 346
7.3.4 Particle-field estimation 348
7.3.5 Other considerations 352
7.4 Velocity, composition PDF codes 354
7.4.1 Mean conservation equations 355
7.4.2 Notional-particle representation 356
7.4.3 Monte-Carlo simulation 357
7.4.4 Particle-field estimation and consistency 358
7.4.5 Other considerations 359
7.5 Concluding remarks 361
Appendix A Derivation of the SR model 363
A. I Scalar spectral transport equation 363
A.2 Spectral relaxation model 365
A.3 Scalar dissipation rate 368
Appendix B Direct quadrature method of moments 372
B. I Quadrature method of moments 372
B.2 Direct QMOM 373
B.2.1 Uni-variate case 374
B.2.2 Bi-variate case 379
B.2.3 Multi-variate case 382
B.3 DQMOM-IEM model 384
References 387
Index 408
|
| any_adam_object | 1 |
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| discipline | Chemie / Pharmazie Physik Chemie-Ingenieurwesen |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV017087788 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:13:36Z |
| institution | BVB |
| isbn | 0521650496 0521659078 |
| language | English |
| lccn | 2003048570 |
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| physical | XVI, 418 S. graph. Darst. |
| publishDate | 2003 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge series in chemical engineering |
| spelling | Fox, Rodney O. Verfasser aut Computational models for turbulent reacting flows Rodney O. Fox 1. publ. Cambridge Cambridge University Press 2003 XVI, 418 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge series in chemical engineering Includes bibliographical references and index Combustão larpcal Dinâmica dos fluídos larpcal Modelos matemáticos larpcal Turbulência larpcal Mathematisches Modell Combustion Mathematical models Fluid dynamics Mathematical models Turbulence Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Reagierende Strömung (DE-588)4137697-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Reagierende Strömung (DE-588)4137697-3 s Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Computersimulation (DE-588)4148259-1 s 1\p DE-604 http://www.loc.gov/catdir/description/cam032/2003048570.html Publisher description http://www.loc.gov/catdir/toc/cam031/2003048570.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010306425&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fox, Rodney O. Computational models for turbulent reacting flows Combustão larpcal Dinâmica dos fluídos larpcal Modelos matemáticos larpcal Turbulência larpcal Mathematisches Modell Combustion Mathematical models Fluid dynamics Mathematical models Turbulence Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd Strömungsmechanik (DE-588)4077970-1 gnd Reagierende Strömung (DE-588)4137697-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4117265-6 (DE-588)4077970-1 (DE-588)4137697-3 (DE-588)4128130-5 (DE-588)4148259-1 |
| title | Computational models for turbulent reacting flows |
| title_auth | Computational models for turbulent reacting flows |
| title_exact_search | Computational models for turbulent reacting flows |
| title_full | Computational models for turbulent reacting flows Rodney O. Fox |
| title_fullStr | Computational models for turbulent reacting flows Rodney O. Fox |
| title_full_unstemmed | Computational models for turbulent reacting flows Rodney O. Fox |
| title_short | Computational models for turbulent reacting flows |
| title_sort | computational models for turbulent reacting flows |
| topic | Combustão larpcal Dinâmica dos fluídos larpcal Modelos matemáticos larpcal Turbulência larpcal Mathematisches Modell Combustion Mathematical models Fluid dynamics Mathematical models Turbulence Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd Strömungsmechanik (DE-588)4077970-1 gnd Reagierende Strömung (DE-588)4137697-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Combustão Dinâmica dos fluídos Modelos matemáticos Turbulência Mathematisches Modell Combustion Mathematical models Fluid dynamics Mathematical models Turbulence Mathematical models Turbulente Strömung Strömungsmechanik Reagierende Strömung Numerisches Verfahren Computersimulation |
| url | http://www.loc.gov/catdir/description/cam032/2003048570.html http://www.loc.gov/catdir/toc/cam031/2003048570.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010306425&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT foxrodneyo computationalmodelsforturbulentreactingflows |