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Summary
Summary
Combustion is an old technology, which at present provides about 90% of our worldwide energy support. Combustion research in the past used fluid mechanics with global heat release by chemical reactions described with thermodynamics, assuming infinitely fast reactions. This approach was useful for stationary combustion processes, but it is not sufficient for transient processes like ignition and quenching or for pollutant formation. Yet pollutant formation during combustion of fossil fuels is a central topic and will continue to be so in the future. This book provides a detailed and rigorous treatment of the coupling of chemical reactions and fluid flow. Also, combustion-specific topics of chemistry and fluid mechanics are considered and tools described for the simulation of combustion processes.
The actual fourth edition presents a completely restructured book: Mathematical Formulae and derivations as well as the space-consuming reaction mechanisms have been replaced from the text to appendix. A new chapter discusses the impact of combustion processes on the earth's atmosphere, the chapter on auto-ignition is extended to combustion in Otto- and Diesel-engines, and the chapters on heterogeneous combustion and on soot formation appear heavily revised.
Table of Contents
1 Introduction, Fundamental Definitions and Phenomena | p. 1 |
1.1 Introduction | p. 1 |
1.2 Some Fundamental Definitions | p. 1 |
1.3 Basic Flame Types | p. 4 |
1.4 Exercises | p. 8 |
2 Experimental Investigation of Flames | p. 9 |
2.1 Velocity Measurements | p. 10 |
2.2 Density Measurement | p. 11 |
2.3 Concentration Measurements | p. 13 |
2.4 Temperature Measurements | p. 18 |
2.5 Pressure Measurements | p. 20 |
2.6 Measurement of Particle Sizes | p. 21 |
2.7 Simultaneous Diagnostics | p. 22 |
2.8 Exercises | p. 27 |
3 Mathematical Description of Premixed Laminar Flat Flames | p. 29 |
3.1 Conservation Equations for Laminar Flat Premixed Flames | p. 29 |
3.2 Heat and Mass Transport | p. 33 |
3.3 The Description of a Laminar Premixed Flat Flame Front | p. 33 |
3.4 Exercises | p. 38 |
4 Thermodynamics of Combustion Processes | p. 39 |
4.1 The First Law of Thermodynamics | p. 39 |
4.2 Standard Enthalpies of Formation | p. 41 |
4.3 Heat Capacities | p. 43 |
4.4 The Second Law of Thermodynamics | p. 44 |
4.5 The Third Law of Thermodynamics | p. 45 |
4.6 Equilibrium Criteria and Thermodynamic Variables | p. 46 |
4.7 Equilibrium in Gas Mixtures; Chemical Potential | p. 47 |
4.8 Determination of Equilibrium Compositions in Gases | p. 49 |
4.9 Determination of Adiabatic Flame Temperatures | p. 51 |
4.10 Tabulation of Thermodynamic Data | p. 52 |
4.11 Exercises | p. 55 |
5 Transport Phenomena | p. 57 |
5.1 A Simple Physical Model of Transport Processes | p. 57 |
5.2 Heat Conduction in Gases | p. 60 |
5.3 Viscosity of Gases | p. 62 |
5.4 Diffusion in Gases | p. 64 |
5.5 Thermal Diffusion, Dufour Effect, and Pressure Diffusion | p. 66 |
5.6 Comparison with Experiments | p. 67 |
5.7 Exercises | p. 71 |
6 Chemical Kinetics | p. 73 |
6.1 Rate Laws and Reaction Orders | p. 73 |
6.2 Relation of Forward and Reverse Reactions | p. 75 |
6.3 Elementary Reactions, Reaction Molecularity | p. 75 |
6.4 Experimental Investigation of Elementary Reactions | p. 77 |
6.5 Temperature Dependence of Rate Coefficients | p. 79 |
6.6 Pressure Dependence of Rate Coefficients | p. 81 |
6.7 Surface Reactions | p. 84 |
6.8 Exercises | p. 88 |
7 Reaction Mechanisms | p. 91 |
7.1 Characteristics of Reaction Mechanisms | p. 91 |
7.1.1 Quasi-Steady States | p. 92 |
7.1.2 Partial Equilibrium | p. 94 |
7.2 Analysis of Reaction Mechanisms | p. 97 |
7.2.1 Sensitivity Analysis | p. 97 |
7.2.2 Reaction Flow Analysis | p. 101 |
7.2.3 Eigenvalue Analyses of Chemical Reaction Systems | p. 103 |
7.3 Stiffness of Ordinary Differential Equation Systems | p. 107 |
7.4 Simplification of Reaction Mechanisms | p. 107 |
7.5 Radical Chain Reactions | p. 115 |
7.6 Exercises | p. 117 |
8 Laminar Premixed Flames | p. 119 |
8.1 Zeldovich's Analysis of Flame Propagation | p. 119 |
8.2 Flame Structures | p. 121 |
8.3 Flame Velocities | p. 124 |
8.4 Sensitivity Analysis | p. 127 |
8.5 Exercises | p. 128 |
9 Laminar Nonpremixed Flames | p. 129 |
9.1 Counterflow Nonpremixed Flames | p. 129 |
9.2 Laminar Jet Nonpremixed Flames | p. 133 |
9.3 Nonpremixed Flames With Fast Chemistry | p. 135 |
9.4 Exercises | p. 138 |
10 Ignition Processes | p. 141 |
10.1 Semenov's Analysis of Thermal Explosions | p. 142 |
10.2 Frank-Kamenetskii's Analysis of Thermal Explosions | p. 143 |
10.3 Autoignition: Ignition Limits | p. 145 |
10.4 Autoignition: Ignition-Delay Time | p. 148 |
10.5 Induced Ignition, Minimum Ignition Energies | p. 149 |
10.6 Spark Ignition | p. 153 |
10.7 Detonations | p. 157 |
10.8 Exercises | p. 163 |
11 Low-Temperature Oxidation, Engine Knock | p. 165 |
11.1 Fundamental Phenomena in Otto Engines | p. 165 |
11.2 Oxidation at Intermediate Temperatures | p. 168 |
11.3 Low-Temperature Oxidation | p. 169 |
11.4 Ignition Processes in Reciprocating Engines | p. 173 |
11.4.1 Knock Damages in Otto Engines | p. 173 |
11.4.2 Ignition in Diesel Engines | p. 174 |
11.4.3 The HCCI Concept | p. 175 |
11.4.4 The DICI Concept | p. 177 |
11.5 Exercises | p. 178 |
12 The Navier-Stokes-Equations for Three-Dimensional Reacting Flow | p. 179 |
12.1 The Conservation Equations | p. 179 |
12.1.1 Overall Mass Conservation | p. 180 |
12.1.2 Species Mass Conservation | p. 181 |
12.1.3 Momentum Conservation | p. 181 |
12.1.4 Energy Conservation | p. 182 |
12.2 The Empirical Laws | p. 183 |
12.2.1 Newton's Law | p. 183 |
12.2.2 Fourier's Law | p. 184 |
12.2.3 Fick's Law and Thermal Diffusion | p. 184 |
12.2.4 Calculation of the Transport Coefficients from Molecular Parameters | p. 185 |
12.3 Exercises | p. 185 |
13 Turbulent Reacting Flows | p. 187 |
13.1 Some Fundamental Phenomena | p. 187 |
13.2 Direct Numerical Simulation | p. 189 |
13.3 Concepts for Turbulence Modeling: Time- and Favre-Averaging | p. 192 |
13.4 Reynolds-Averaged Navier-Stokes (RANS) Equations | p. 194 |
13.5 Turbulence Models | p. 196 |
13.6 Mean Reaction Rates | p. 200 |
13.7 Concepts for Turbulence Modeling: Probability Density Functions | p. 202 |
13.8 Eddy-Break-Up Models | p. 206 |
13.9 Turbulent Scales | p. 207 |
13.10 Large-Eddy Simulation (LES) | p. 209 |
13.11 Exercises | p. 211 |
14 Turbulent Nonpremixed Flames | p. 213 |
14.1 Nonpremixed Flames with Equilibrium Chemistry | p. 214 |
14.2 Finite-Rate Chemistry in Nonpremixed Flames | p. 217 |
14.3 Flame Extinction | p. 221 |
14.4 PDF-Simulations of Turbulent Non-Premixed Flames Using a Monte-Carlo Method | p. 224 |
14.5 Exercises | p. 226 |
15 Turbulent Premixed Flames | p. 227 |
15.1 Classification of Turbulent Premixed Flames | p. 227 |
15.2 Flamelet Models | p. 230 |
15.2.1 Flamelet Modelling Using a Reaction Progress Variable | p. 231 |
15.2.2 Flamelet Modelling Using a Level-Set Method | p. 232 |
15.3 Turbulent Flame Velocity | p. 233 |
15.4 Flame Extinction | p. 235 |
15.5 Other Models of Turbulent Premixed Combustion | p. 237 |
15.6 Exercises | p. 238 |
16 Combustion of Liquid and Solid Fuels | p. 239 |
16.1 Droplet Combustion | p. 239 |
16.1.1 Combustion of Single Droplets | p. 240 |
16.1.2 Combustion of Droplet Groups | p. 244 |
16.2 Spray Combustion | p. 246 |
16.2.1 Formation of Sprays | p. 246 |
16.2.2 Spray Combustion Modes | p. 247 |
16.2.3 Statistical Description of Sprays | p. 249 |
16.2.4 Modeling of Turbulent Spray Combustion | p. 252 |
16.2.5 Flamelet-Type Models for Spray Combustion | p. 253 |
16.3 Coal Combustion | p. 255 |
16.3.1 Pyrolysis of Coal | p. 255 |
16.3.2 Burning of Volatile Compounds | p. 256 |
16.3.3 Burning of the Coke | p. 256 |
16.3.4 Coal Gasification | p. 257 |
16.4 Exercises | p. 258 |
17 Formation of Nitric Oxides | p. 259 |
17.1 Thermal NO (Zeldovich NO) | p. 259 |
17.2 Prompt NO (Fenimore NO) | p. 262 |
17.3 NO Generated via Nitrous Oxide | p. 265 |
17.4 Conversion of Fuel Nitrogen into NO | p. 265 |
17.5 NO Reduction by Combustion Modifications | p. 267 |
17.6 Catalytic Combustion | p. 271 |
17.7 NO Reduction by Post-Combustion Processes | p. 272 |
17.8 Exercises | p. 275 |
18 Formation of Hydrocarbons and Soot | p. 277 |
18.1 Unburnt Hydrocarbons | p. 277 |
18.1.1 Flame Extinction Due to Strain | p. 278 |
18.1.2 Flame Extinction at Walls and in Gaps | p. 278 |
18.2 Formation of Polycyclic Aromatic Hydrocarbons (PAH) | p. 280 |
18.3 The Phenomenology of Soot Formation | p. 283 |
18.4 Modelling and Simulation of Soot Formation | p. 287 |
18.5 Exercises | p. 296 |
19 Effects of Combustion Processes on the Atmosphere | p. 297 |
19.1 The Structure of the Atmosphere | p. 297 |
19.1.1 Pressure in the Atmosphere | p. 297 |
19.1.2 Temperature and Classification of Compartments in the Atmosphere | p. 299 |
19.1.3 Composition of the Atmosphere | p. 300 |
19.2 The Atmosphere as a Photochemical System | p. 300 |
19.2.1 Lambert-Beer Law | p. 300 |
19.2.2 Stern-Vollmer Equation | p. 301 |
19.2.3 Formation of Photochemical Layers | p. 302 |
19.3 Incoming Sun Radiation, Photochemical Primary Processes | p. 303 |
19.4 Physical Processes in the Atmosphere | p. 305 |
19.4.1 Conservation of the Mass of Species | p. 305 |
19.4.2 Conservation of Energy | p. 306 |
19.4.3 Solution of the Conservation Equations | p. 307 |
19.5 Chemistry of the Unpolluted Atmosphere | p. 307 |
19.5.1 Pure Oxygen Atmosphere | p. 307 |
19.5.2 Oxygen-Nitrogen-Hydrogen-Carbon Atmosphere | p. 308 |
19.6 Chemistry of the Polluted Atmosphere | p. 310 |
19.6.1 Photochemical Smog | p. 310 |
19.6.2 Supersonic Transports | p. 314 |
19.6.3 Green-House Effect | p. 315 |
19.6.4 Acid rain | p. 316 |
19.7 The Role of Combustion Sources in Atmospheric Pollution | p. 317 |
20 Appendix 1: Mathematics | p. 319 |
20.1 Some Definitions and Laws for Vectors and Tensors | p. 319 |
20.2.1 Formulation of the Problem | p. 320 |
20.2.2 General Remarks on Solution Algorithms for ODE Systems | p. 321 |
20.2.3 Euler Method | p. 322 |
20.2.4 Extrapolation Method | p. 324 |
20.3 Numerical Solution of Partial Differential Equation Systems | p. 325 |
20.3.1 Spatial Discretization | p. 326 |
20.3.2 Initial Values, Boundary Conditions, Stationary Solution | p. 328 |
20.3.3 Explicit Solution Methods | p. 329 |
20.3.4 Implicit Solution Methods | p. 330 |
20.3.5 Semi-implicit Solution of Partial Differential Equations | p. 330 |
20.3.6 Implicit Solution of Partial Differential Equations | p. 331 |
21 Appendix 2: Reaction Mechanisms | p. 333 |
21.1 Mechanism of the Oxidation of H[subscript 2], CO, C[subscript 1] and C[subscript 2] Hydrocarbons | p. 333 |
21.2 Reaction Mechanism of the Generation and Consumption of NOx | p. 340 |
22 References | p. 345 |
23 Index | p. 367 |