ISBN-10:
1860947794
ISBN-13:
9781860947797
Pub. Date:
06/28/2008
Publisher:
Imperial College Press
Introduction to Turbulent Reacting Flowsn

Introduction to Turbulent Reacting Flowsn

by Epaminondas Mastorakos, R Stewart Cant
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Product Details

ISBN-13: 9781860947797
Publisher: Imperial College Press
Publication date: 06/28/2008
Edition description: New Edition
Pages: 192
Sales rank: 890,000
Product dimensions: 6.02(w) x 8.94(h) x 0.51(d)

Table of Contents

Preface     vii
Introduction     1
Motivation, aims and audience     1
Relevance     1
Aims and structure     2
Bibliography     3
Governing equations     5
Instantaneous equations and basic concepts     5
Reynolds averaging     10
The mean reaction rate     10
Summary     11
Exercises     11
Some Comments on Turbulence     13
Introduction     13
Statistical description     14
The randomness of turbulence     14
Probability density functions     15
Turbulent scales     21
Large-eddy scales     21
Dissipation and small scales     21
Taylor microscale     23
What are eddies?     24
Temporal and spatial correlations     24
Temporal autocorrelation     24
The convergence of averages     25
Spatial autocorrelation     26
Taylor hypothesis     27
Scalar scales     28
Reynolds-averaged equations     28
First moments     28
Eddy diffusivity     29
Second moments     30
Computational Fluid Dynamics     32
Spectra and intermittency     32
Spectra     32
Intermittency     34
Summary     36
Exercises     36
Mixing
Introduction     37
Molecular mixing     37
Some analytical solutions     37
Transport properties     41
Random walk     42
Brownian motion     43
Turbulent mixing     45
Taylor dispersion     45
Characterization of mixing     48
Length scales and spectra     53
Scalar dissipation     55
Reaction-diffusion systems     58
Propagating front 1     59
Propagating front 2     59
Unsteady flamelet equation     60
Final comments     61
Summary     61
Exercises     62
Flows with Non-premixed Reactants     63
Introduction     63
Moment methods     63
Neglecting the fluctuations: very slow chemistry     63
Eddy Dissipation Concept and derivatives     65
Second-order     66
Presumed joint pdf     66
Other     67
The well-stirred reactor     67
Conserved scalar methods     69
Mixture fraction     69
Qualitative structure of a laminar non-premixed flame     71
Fast chemistry     72
The pdf of the mixture fraction     74
Steady and transient flamelets     75
Conditional Moment Closure     77
Flame Surface Density     79
Transported pdf     80
Governing equations     80
Monte-Carlo method     81
Further developments     82
Concluding comments     83
Exercises     84
Flows with Premixed Reactants     87
Introduction     87
Laminar premixed flames     87
Background     87
Propagation     89
Laminar premixed flame structure     89
Estimation of laminar premixed flame thickness     91
Effects of mixture strength: flammability limits     92
Effects of pressure and temperature     93
Turbulent premixed flames     94
Turbulent burning velocity     94
Stretch, strain and curvature      95
Turbulent flame speed measurements     97
Turbulent flame speed correlations     99
Turbulent flame speed: a fractal approach     100
Dimensionless numbers for turbulent premixed flames     101
Regime diagrams     102
Turbulent premixed combustion modelling     104
Favre averaging     105
Turbulent transport in premixed flames     106
Eddy Break-Up Model for premixed flames     108
The laminar flamelet concept     109
Laminar flamelets in practice     109
Bray-Moss-Libby transport modelling     110
Bray-Moss-Libby reaction rate modelling     117
Flame surface density modelling     121
The G-equation formulation     123
Other models for turbulent premixed flames     130
Exercises     131
Numerical Methods for Reacting Flows     133
Introduction     133
Combustion CFD     133
Unsteady convection-diffusion-reaction equation     134
Spatial discretisation     134
Solution algorithms     136
RANS, LES and DNS     137
Numerical considerations for combustion problems     137
Numerical solvers for stiff differential equations     140
Background     140
Forward Euler method     141
Timescales and stiffness     141
Properties of solvers     144
Solvers for chemical systems     145
Method of lines     148
Final comments     149
Exercises     150
Experimental Methods for Reacting Flows     151
Introduction     151
General concepts     151
Uncertainties and measurement errors     151
Resolution and response     153
Filtering     154
Measurement techniques for reacting flows     155
Visualization     155
Intrusive techniques     155
Non-intrusive techniques     157
Final comments     160
Exercises     160
Epilogue     163
Bibliography     165
Index     175

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