Journal ArticleDOI
Asymptotic Analysis of Laminar Flame Propagation for General Lewis Numbers
TLDR
In this article, the structure of a steady one-dimensional isobaric deflagration is examined for the case of a direct first-order one-step irreversible exothermic unimolecular decomposition under Arrhenius kinetics.Abstract:
The structure of a steady one-dimensional isobaric deflagration is examined for the case of a direct first-order one-step irreversible exothermic unimolecular decomposition under Arrhenius kinetics. In particular, the eigenvalue giving the speed of propagation of the laminar flame into the unburned gas is sought for constant Lewis number of order unity. The method of matched asymptotic expansion is invoked in the physically interesting limit of activation temperature large relative to the adiabatic flame temperature. The leading approximation for the eigenvalue is found to be a generalization of the result given by Zeldovich, Frank-Kamenetski, and Semenov for Lewis number unity. The first two terms in the asymptotic expansion for the eigenvalue yield an expression superior to any previously published.read more
Citations
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Journal ArticleDOI
Laminar Flamelet Concepts in Turbulent Combustion
TL;DR: In this article, it is shown that the inner structure of the flamelets is one-dimensional and time dependent, and a new coordinate transformation using the mixture fraction Z as independent variable leads to a universal description.
Journal ArticleDOI
Dynamic behavior of premixed flame fronts in laminar and turbulent flows
Paul Clavin,Paul Clavin +1 more
TL;DR: In this article, a review of recent developments in flame theory is provided, in sufficient detail to give the reader a comprehensive introduction to the field, including the stability and flammability limits of planar fronts, cellular flames, flame stretch, turbulent and self-turbulizing flames, hydrodynamic interactions between weakly turbulent gas flows and wrinkled flame fronts, molecular diffusion effects of intermediate species involved in chain reactions.
Journal ArticleDOI
Flame acceleration and transition to detonation in ducts
Gaby Ciccarelli,S. Dorofeev +1 more
TL;DR: In this article, the state of knowledge on flame acceleration and deflagration-to-detonation transition (DDT) in smooth ducts and ducts equipped with turbulence-producing obstacles is reviewed.
Journal ArticleDOI
Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity
P. Clavin,Forman A. Williams +1 more
TL;DR: In this paper, the effects of flow inhomogeneities on the dynamics of laminar flamelets in turbulent flames, with account taken of influences of the gas expansion produced by heat release, were investigated.
Journal ArticleDOI
Quenching processes and premixed turbulent combustion diagrams
TL;DR: In this paper, an extended definition of flamelet regimes based on the existence of a continuous active (not quenched) flame front separating fresh gases and burnt products is introduced.
References
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Book
Perturbation Methods in Applied Mathematics
TL;DR: In this paper, limit process expansions applied to Ordinary Differential Equations (ODE) are applied to partial differential equations (PDE) in the context of Fluid Mechanics.
Journal ArticleDOI
A Theoretical Model of a Gaseous Combustion Wave Governed by a First‐Order Reaction
Raymond Friedman,Edward Burke +1 more
TL;DR: In this article, numerical solutions for differential equations describing a hypothetical model of a laminar flame were obtained for a first-order irreversible reaction with approximately exponential dependence of rate upon temperature, with interdiffusion of reactant and product molecules.
Journal ArticleDOI
The present status of the theory of laminar flame propagation
TL;DR: In this paper, a semianalytical method was proposed to determine the flame velocity of a single-step laminar flame reaction, where the reaction-scheme and the corresponding chemical kinetics are well-defined.
Journal ArticleDOI
Theory of Flames Produced by Unimolecular Reactions. I. Accurate Numerical Solutions
TL;DR: In this article, the effects of heat transfer on the steady-state laminar flame were studied. But the authors focused on the effects on the flame holder and did not consider the effect on the velocity of the flame.