Thermal Explosion

Chapter 1: Introduction

• • 1.1 Informal Description of Thermal Explosion
• • 1.2 Historical Remarks and Terminology
• • 1.3 Fundamentals of Chemical Kinetics
• • 1.4 Definition of Thermal Explosion
• • 1.5 Similarities and Differences with Other Phenomena

Chapter 2: Classical Theory of Thermal Explosion

• • 2.1 General Considerations
• • 2.2 Steady-State Semenov Theory
• • 2.3 Steady-State Frank–Kamenetskii Theory
• • 2.3.1 Planar Symmetry
• • 2.3.2 Cylindrical Symmetry
• • 2.3.3 Spherical Symmetry
• • 2.4 Non-steady Theory
• • 2.5 Comparison of the Semenov and the Frank–Kamenetskii Formulations

Chapter 3: Extended Mathematical Theory of Thermal Explosion

• • 3.1 Generalized Boundary Conditions
• • 3.2 Dynamical Regimes
• • 3.3 Thermal Explosion in a Region of Arbitrary Shape
• • 3.4 Stability of Thermal Explosion Solutions
• • 3.5 Interpretation of Thermal Explosion in Terms of Theory of Catastrophes and Control Theory
• • 3.6 Review of Other Results in Mathematical Theory of Thermal Explosion

Chapter 4: Thermal Explosion in a Quiescent Medium

• • 4.1 Kinetic Effects
• • 4.2 Conjugate Thermal Explosion
• • 4.3 Diffusion Thermal Explosion
• • 4.4 Spotted Thermal Explosion
• • 4.5 Experimental Validation of the Theory of Thermal Explosion

Chapter 5: Thermal Explosion in Dynamic Mixtures

• • 5.1 Thermal Explosion in Flow Reactor
• • 5.2 Thermal Explosion Under Natural Convection Conditions
• • 5.3 Thermal Explosion Under Forced Convection Conditions

Chapter 6: Thermal Explosion and Fire Dynamics

• • 6.1 Compartment Fire Flashover: Problem Description
• • 6.2 One-Variable Thermal Explosion Models of Fire Flashover
• • 6.3 Two-Variable Thermal Explosion Models of Fire Flashover
• • 6.4 Pseudo – Three-Variable Models and Other Results in Thermal Explosion Modelling of Fire Flashover

Chapter 7: Thermal Explosion in Granular Reacting Media, Biosolid Fuels and Electric Batteries

• • 7.1 Experimental Data
• • 7.2 Thermal Explosion in Granular Reacting Media
• • 7.3 Thermal Explosion of Biosolid Fuels
• • 7.4 Thermal Explosion of Electric Batteries

Chapter 8: Control Problem in the Theory of Thermal Explosion

• • 8.1 Problem Formulation
• • 8.2 Instantaneous Control
• • 8.3 Smooth Control
• • 8.3.1 Smooth Autonomous Control
• • 8.3.2 Smooth Non-autonomous Control

Chapter 9: Thermal Explosion Prevention

• • 9.1 Concept of Thermal Management. Passive and Active Methods
• • 9.2 Passive Methods
• • 9.3 Inertization
• • 9.4 Cooling Media Injection
• • 9.5 Prevention of Fire Flashover