Journal ArticleDOI
Asymptotic analysis of stationary propagation of the front of parallel exothermic reaction: PMM vol. 39, n≗2, 1975, pp. 306–315
V. S. Berman,Iu.S. Riazantsev +1 more
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In this paper, the authors developed an approximate theory of stationary propagation of the planar front of a two-stage parallel exothermic reaction in a condensed medium and in a gas.About:
This article is published in Journal of Applied Mathematics and Mechanics.The article was published on 1975-12-01. It has received 14 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Asymptotic analysis.read more
Citations
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Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation
TL;DR: In this paper, a transition from laminar to turbulent premixed Rame propagation is studied and the authors exploit the fact that the overall activation energy is large to derive dynamical flame sheet models, which are then used to predict instability thresholds as functions of the various parameters in the problem.
Journal ArticleDOI
Steady and Pulsating Modes of Sequential Flame Propagation
TL;DR: In this article, the steady and pulsating modes of flame propagation through a premixed combustible mixture are studied for the case in which the flame is characterized by the sequential production and depletion of a significant intermediate species.
Journal ArticleDOI
Multiplicity and related phenomena in competing reaction flames
TL;DR: In this article, an asymptotic analysis of flame structure is carried out for some two-reaction networks of competition type, where the heat releases of the two reactions are ordered in the same way as their activation energies, and multiplicity of traveling wave solutions is exhibited.
Journal ArticleDOI
Flame Propagation with a Sequential Reaction Mechanism
TL;DR: In this article, the steady propagation of a flame through a premixed combustible mixture is studied for the case in which the flame is characterized by the production and depletion of a significant intermediate species.
Journal ArticleDOI
Flame propagation with multiple fuels.
TL;DR: In this article, the steady propagation of a flame through a premixed combustible mixture is studied for the case in which the mixture consists of two distinct fuels, where the overall chemical reaction mechanism is represented by $A +
u_A O \to \mu_A P,B + ǫ_B O to \mu _B Q$, where A and B denote the fuels, O is the oxidizer, P and Q are the corresponding products, and $
u_B,\mu-A,\mu _A,
u-B,\
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
Perturbation Methods in Applied Mathematics
H. Weitzner,Julian D. Cole +1 more
TL;DR: In this article, limit process expansions applied to Ordinary Differential Equations (ODE) are applied to partial differential equations (PDE) in the context of Fluid Mechanics.
Journal ArticleDOI
Asymptotic Analysis of the Structure of a Steady Planar Detonation
TL;DR: In this paper, the structure of a steady planar Chapman-Jouguet detonation, supported by a direct first-order one-step irreversible exothermic unimolecular reaction, subject to Arrhenius kinetics, is examined.
Journal ArticleDOI
Asymptotic analysis of stationary propagation of the front of a two-stage exothermic reaction in a gas: PMM vol. 37, n≗6, 1973, pp. 1049–1058
V.S. Berman,I.U.S. Riazantsev +1 more
TL;DR: In this paper, an approximate solution of the problem concerning the propagation of a planar. front of a two-stage exothermic sequential chemical reaction in a gas, by the method of matched asymptotic expansions, is presented.
Journal ArticleDOI
Application of the method of matched asymptotic expansions to the calculation of the stationary thermal propagation of the front of an exothermic reaction in a condensed medium
V. S. Berman,Yu. S. Ryazantsev +1 more
TL;DR: In this article, the authors used the matched asymptotic expansions to establish a two-term formula for the speed of propagation of the front of an exothermic reaction in a condensed medium whose thermophysical characteristics depend on the concentration of the reacting matter and the temperature.
Related Papers (5)
Asymptotic analysis of stationary propagation of the front of a two-stage exothermic reaction in a gas: PMM vol. 37, n≗6, 1973, pp. 1049–1058
V.S. Berman,I.U.S. Riazantsev +1 more