Reacting Flows: Combustion and Chemical Reactors, Part 1: Combustion and Chemical Reactors

Front Cover
G. S. S. Ludford
American Mathematical Soc., 1986 - Mathematics - 1018 pages
These two volumes represent the culmination of the Special Year `84-'85 in Reacting Flows held at Cornell University. As the proceedings of the 1985 AMS/SIAM Summer Seminar in Applied Mathematics, the volumes focus on both mathematical and computational questions in combustion and chemical reactors. They are addressed to researchers and graduate students in the theory of reacting flows. Together they provide a sound basis and many incentives for future research, especially in computational aspects of reacting flows. Although the theory of reacting flows has developed rapidly, researchers in the two subareas of combustion and chemical reactors have not communicated. The main goal of this seminar was to synthesize the mathematical theory and bring it to the interface with large-scale computing. All of the papers have high research value, but the first five introductory lectures should be especially noted.
 

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Contents

Preface
8
Low Mach Number Combustion
8
The Mathematical Background of Chemical Reactor
75
Dynamic Behavior of Continuous StirredTank Reactors with
104
High Mach Number Combustion
109
Global Bifurcations in Simple Models of a Chemical Reactor
163
Methods of Singularity Theory in the Analysis of Dynamics
175
Numerical Calculation of the Interaction of Pressure Waves
185
Mathematical Analysis of Tubular Reactors
317
The WellStirred
331
A Systematic Derivation of the Constitutive Properties
357
Nonlinear Stability of Solid Propellant Combustion
375
Two Asymptotic Models for Solid Propellant Combustion
395
Plane Shock Initiation of Homogeneous and Heterogeneous
403
Adaptive Numerical Methods for Unsteady Flame Propogation
415
The Structure and Stability of Plane Detonation Waves
419

Computational Methods in Turbulent Reacting Flow
199
Mathematical Questions
215
Premixed Laminar Flames as Travelling Waves
229
Mathematical Study of a Model with No Ignition
239
WellPosedness of the Nonlinear Equations for Zero Mach
264
Flame Resonance and Acoustics in the Presence of Heat Loss
269
Flame Structure for Reaction Networks with Chain
273
The Asymptotic Analysis of Ignition Events with Detailed
303
Mach Stems
431
Using Computers to Answer Fundamental Questions
437
Fractional Step Methods for Reacting Shock Waves
459
Roles of Perturbation Methods for Turbulent Diffusion Flame
467
Modeling and Computation of DeflagrationtoDetonation
479
Singular Perturbation for Stiff Equations Using Numerical
485
The Lifting of Turbulent Diffusion Flames and the Noise
489
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