Theory of Laminar Flames

Cover......Page 1
Title......Page 4
Copyright......Page 5
CONTENTS......Page 6
Preface......Page 10
1 Approach......Page 14
2 Continuum theory of a mixture of reacting species......Page 15
3 The Arrhenius factor......Page 18
4 Differential mass diffusion; equality of cp, and of m;......Page 20
5 The combustion and constant-density approximations......Page 24
6 Constant properties : nondimensionalization......Page 26
7 Equidiffusion: Shvab-Zeldovich variables......Page 28
8 Activation-energy asymptotics......Page 30
1 Models of mixtures......Page 33
2 Cold-boundary difficulty......Page 34
3 Anchored flames......Page 36
4 Asymptotic analysis......Page 38
5 Flat burners......Page 41
6 Near-surface, surface, and remote flames......Page 44
7 Reactions of arbitrary order......Page 46
8 The two-reactant model......Page 47
1 Prologue......Page 51
2 Modifications of the plane premixed flame for 2 1......Page 52
3 Theory of perturbations......Page 54
4 Steady heat loss: the excess-enthalpy flame......Page 56
5 SVFs......Page 60
6 Nonuniform ducts......Page 63
7 An elementary flame holder......Page 64
8 NEFs......Page 66
1 Responses......Page 71
2 Experimental results; extinction......Page 73
3 Solid pyrolysis under adiabatic conditions......Page 74
4 Radiation from the surface......Page 77
5 Background radiation......Page 80
6 True nature of effective extinction......Page 84
7 Liquid evaporation under adiabatic conditions......Page 86
8 Radiative exchange at the surface; distributed heat exchange......Page 89
1 The problem......Page 92
2 Solid pyrolysis......Page 93
3 Liquid evaporation......Page 99
4 Response to an impinging acoustic wave......Page 100
5 Amplification......Page 103
6 Stability of anchored flames......Page 105
1 Diffusion flames......Page 108
2 Steady combustion for i(= 2 = 1; D-asymptotics......Page 111
3 The nearly adiabatic flame for jr, Y# 1 and its stability......Page 116
4 General ignition and extinction analyses for V"= 2' =1......Page 121
5 Remarks on the middle branch of the S-response......Page 125
6 Other responses......Page 126
7 The burning fuel drop......Page 128
8 Further results on stability......Page 130
2 Planar character......Page 133
3 Near-surface, surface, and remote flames......Page 136
4 Spherical flames; D-asymptotics......Page 137
5 Ignition and extinction......Page 140
6 Other aspects of responses......Page 143
1 The flame as a hydrodynamic discontinuity......Page 149
2 Slow variation and near-equidiffusion......Page 152
3 The basic equation for SVFs......Page 155
4 Flame stretch......Page 159
5 The basic equations for NEFs......Page 162
6 Reduction to Stefan problems......Page 164
1 Features of a tube flame......Page 167
2 Hydrodynamic considerations......Page 169
3 SVF tips......Page 172
4 NEF tips......Page 176
5 Quenching by a cold surface......Page 181
6 Further hydrodynamic considerations......Page 183
1 Nonuniformities......Page 188
2 Response of NEFs to simple shear......Page 189
3 Response of NEFs to simple strain......Page 192
4 More general nonuniformity......Page 198
5 Effect of slowly varying shear......Page 200
6 Effect of slowly varying strain......Page 202
1 Scope......Page 206
2 Slowly varying perturbations of the plane wave......Page 209
3 Buoyancy and curvature......Page 212
4 Stability of plane NEFs......Page 215
5 Cellular flames......Page 219
6 Hydrodynamic effects......Page 222
7 Curved cellular flames......Page 227
8 Delta-function models and the right stability boundary......Page 231
1 Synopsis......Page 234
2 Spontaneous combustion (auto-ignition)......Page 235
3 Adiabatic explosion......Page 240
4 Explosion with heat loss......Page 245
5 Ignition by heat flux......Page 251
6 Auto-ignition and explosion of separated reactants......Page 254
Text references......Page 261
Further references......Page 269
Citation Index......Page 274
Subject Index......Page 276