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Reacting Flows: Combustion and Chemical Reactors, Part 1
Edited by: Geoffrey Ludford

Lectures in Applied Mathematics
1986; 512 pp; hardcover
Volume: 24
ISBN-10: 0-8218-1127-4
ISBN-13: 978-0-8218-1127-6
List Price: US$82
Member Price: US$65.60
Order Code: LAM/24.1
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This item is also sold as part of the following set: LAM/24

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.


Table of Contents

Part 1: Introduction
  • G. S. Ludford S. -- Low Mach number combustion
  • R. Aris -- The mathematical background of chemical reactor analysis. II. The stirred tank
  • A. Majda -- High Mach number combustion
  • H. A. Dwyer, A. Lutz, and R. J. Kee -- Numerical calculation of the interaction of pressure waves
  • A. F. Ghoniem -- Computational methods in turbulent reacting flow
  • A. C. McIntosh -- Flame resonance and acoustics in the presence of heat loss
  • D. W. Mikolaitis -- The asymptotic analysis of ignition events with detailed kinetics
  • T. L. Jackson and A. K. Kapila -- Thermal expansion effects on perturbed premixed flames: a review
  • F. J. Higuera and A. Linan -- Modeling end-gas knock in a rapid-compression machine: review and extension
  • S. B. Margolis and R. C. Armstrong -- Two asymptotic models for solid propellant combustion
  • D. S. Stewart -- Plane shock initiation of homogeneous and heterogeneous condensed phase. Explosives with a sensitive rate
  • J. D. Buckmaster -- The structure and stability of plane detonation waves for large activation energy
  • R. R. Rosales -- Stability theory for shocks in reacting media: Mach stems in detonation waves
  • F. A. Williams -- Roles of perturbation methods for turbulent diffusion flame
  • J. Buckmaster and N. Peters -- The lifting of turbulent diffusion flames and the noise they make
Part 2: Chemical reactors
  • J. M. Vega and I. E. Parra -- Stability and Hopf bifurcation in isothermal catalysts
  • J. Puszynski, J. Degreve, S. Kumar, and V. Hlavacek -- Propagation of reaction fronts in exothermic heterogeneous noncatalytic systems solid-solid and solid-gas
  • A. Varma -- Optimal catalyst activity profiles in pellets
  • T. A. Bak and L. Binglin -- Polymerization reactions in closed and open systems
  • R. Raschman, I. Schreiber, and M. Marek -- Periodic and aperiodic regimes in linear and cyclic arrays of coupled reaction-diffusion cells
  • J. B. Planeaux, K. F. Jensen, and W. W. Farr -- Dynamic behavior of continuous stirred-tank reactors with extraneous thermal capacitance
  • V. Balakotaiah -- Steady-state multiplicity features of open chemically reacting systems
  • J. Guckenheimer -- Global bifurcations in simple models of a chemical reactor
  • L. M. Pismen -- Methods of singularity theory in the analysis of dynamics of reactive systems
Mathematical questions
  • J. Bebernes and D. Kassoy -- Solution profiles and thermal runaway
  • D. H. Wagner -- Premixed laminar flames as travelling waves
  • M. Marion -- Mathematical study of a model with no ignition temperature for laminar plane flames
  • P. Embid -- Well-posedness of the nonlinear equations for zero Mach number combustion
  • P. C. Fife and B. Nicolaenko -- Flame structure for reaction networks with chain branching and recombination
  • B. L. Keyfitz, M. Golubitsky, M. Gorman, and P. Chosset -- The use of symmetry and bifurcation techniques in studying flame stability
  • R. Alexander -- Mathematical analysis of tubular reactors
  • G. C. Wake, J. G. Graham-Eagle, and B. F. Gray -- Oscillating chemical reactions: the well-stirred and spatially distributed class
  • I. Müller -- A systematic derivation of the constitutive properties of mixtures of viscous-heat conducting fluids
Computational question
  • V. Giovangigli and M. D. Smooke -- Calculation of extinction limits for premixed laminar flames in a stagnation point flow
  • M. Sermange -- Contribution to the numerical analysis of laminar stationary flames
  • B. Larrouturou -- Adaptive numerical methods for unsteady flame propagation
  • R. D. Janssen and P. J. O'Rourke -- Using computers to answer fundamental questions in combustion theory: an example from droplet combustion
  • P. Colella, A. Majda, and V. Roytburd -- actional step methods for reacting shock waves
  • M. R. Baer, R. E. Benner, R. J. Gross, and J. W. Nunziato -- Modelling and computation of deflagration-to-detonation transition (DDT) in reactive granular materials
  • H. Rabitz -- On determining important aspects of combustion kinetics modelling with sensitivity analysis
  • S. H. Lam -- Singular perturbation for stiff equations using numerical computations
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