Extinction of counterflow diffusion flames with branching-termination chain mechanisms: Theory and experiment

  • C. K. Law
4. Discussion Sessions
Part of the Lecture Notes in Physics book series (LNP, volume 299)


The asymptotic structure and extinction of diffusion flames supported by a chain mechanism consisting of two two-body, thermoneutral, high-activation-energy branching reactions and a three-body, exothermic, zero-activation-energy termination reaction have been analyzed for the model problem of counterflow flames. A unique extinction criterion has been derived which contains a chain extinction limit and a global extinction limit; the latter is identified as Linan's extinction criterion for a one-step overall reaction. A companion experimental study shows that the density-weighted extinction strain rate increases only linearly with increasing pressure, thereby demonstrating weakened pressure dependence due to the influence of the three-body termination reaction.


Flame Temperature Diffusion Flame Termination Reaction Flame Structure Chain Mechanism 


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  1. 1.
    Birkan, M. A. and Law, C. K., “Asymptotic Structure and Extinction of Diffusion Flames with Chain Mechanisms,” to appear in Combustion and Flame, 1988.Google Scholar
  2. 2.
    Law, C. K. and Egolfopoulos, F. N., “Chain Mechanisms in the Propagation/ Extinction of Flames and the Determination of Flammability Limits,” to be published.Google Scholar
  3. 3.
    Linan, A., “The Asymptotic Structure of Counterflow Diffusion Flames for Large Activation Energies,” Acta Astronautica 1, 1007–1039 (1974).Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • C. K. Law
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of CaliforniaDavis

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