Cover

Half-title

Title

Copyright

Contents

Preface

1 Governing equations of combustion

1 Approach

2 Continuum theory of a mixture of reacting species

3 The Arrhenius factor

4 Differential mass diffusion; equality of cpi and of m*

5 The combustion and constant-density approximations

6 Constant properties: nondimensionalization

7 Equidiffusion: Shvab-Zeldovich variables

8 Activation-energy asymptotics

2 The premixed plane flame

1 Models of mixtures

2 Cold-boundary difficulty

3 Anchored flames

4 Asymptotic analysis

5 Flat burners

6 Near-surface, surface, and remote flames

7 Reactions of arbitrary order

8 The two-reactant model

3 Perturbations: SVFs and NEFs

1 Prologue

2 Modifications of the plane premixed flame for <£ j=

3 Theory of perturbations

4 Steady heat loss: the excess-enthalpy flames

5 SVFs

6 Nonuniform ducts

7 An elementary flame holder

8 NEFs

4 Steady burning of a linear condensate

1 Responses

2 Experimental results; extinction

3 Solid pyrolysis under adiabatic conditions

4 Radiation from the surface

5 Background radiation

6 True nature of effective extinction

7 Liquid evaporation under adiabatic conditions

8 Radiative exchange at the surface; distributed heat exchange

5 Unsteady burning of a linear condensate

1 The problem

2 Solid pyrolysis

3 Liquid evaporation

4 Response to an impinging acoustic wave

5 Amplification

6 Stability of anchored flames

6 Spherical diffusion flames

1 Diffusion flames

2 Steady combustion for Jf = & = 1; D-asymptotics

3 The nearly adiabatic flame for jf, <£ =£ 1 and its stability

4 General ignition and extinction analyses for X= !£ = 1

5 Remarks on the middle branch of the S-response

6 Other responses

7 The burning fuel drop

8 Further results on stability

7 Cylindrical and spherical premixed flames

1 Cylindrical flames

2 Planar character

3 Near-surface, surface, and remote flames

4 Spherical flames; D-asymptotics

5 Ignition and extinction

6 Other aspects of responses

8 Multidimensional theory of premixed flames

1 The flame as a hydrodynamic discontinuity

2 Slow variation and near-equidiffusion

3 The basic equation for SVFs

4 Flame stretch

5 The basic equations for NEFs

6 Reduction to Stefan problems

9 Burners

1 Features of a tube flames

2 Hydrodynamic considerations

3 SVF tips

4 NEF tips

5 Quenching by a cold surface

6 Further hydrodynamic considerations

10 Effects of shear and strain

1 Nonuniformities

2 Response of NEFs to simple shear

3 Response of NEFs to simple strain

4 More general nonuniformity

5 Effect of slowly varying shear

6 Effect of slowly varying strain

11 Stability

1 Scope

2 Slowly varying perturbations of the plane wave

3 Buoyancy and curvature

4 Stability of plane NEFs

5 Cellular flames

6 Hydrodynamic effects

7 Curved cellular flames

8 Delta-function models and the right stability boundary

12 Ignition and explosion

1 Synopsis

2 Spontaneous combustion (auto-ignition)

3 Adiabatic explosion

4 Explosion with heat loss

5 Ignition by heat flux

6 Auto-ignition and explosion of separated reactants

Text references

Further references

Citation Index

Subject Index