Journal ArticleDOI
An analytical study of the stability of a laminar diffusion flame
L.L. Kirkbey,R.A. Schmitz +1 more
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In this article, the transient state of a simplified model of a one-dimensional diffusion flame is considered and the governing equations which take into account diffusion, heat conduction, heat losses and finite-rate chemical kinetics are treated numerically to obtain steady-state solutions.About:
This article is published in Combustion and Flame.The article was published on 1966-09-01. It has received 111 citations till now. The article focuses on the topics: Diffusion flame & Transient state.read more
Citations
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The asymptotic structure of counterflow diffusion flames for large activation energies
TL;DR: In this paper, the structure of steady state diffusion flames is investigated by analyzing the mixing and chemical reaction of two opposed jets of fuel and oxidizer as a particular example, and an Arrhenius one-step irreversible reaction in the realistic limit of large activation energies.
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Intrinsic Flame Instabilities in Premixed and Nonpremixed Combustion
TL;DR: In this article, the role of differential and preferential diffusion, thermal expansion, and heat losses in intrinsic combustion instabilities in both premixed and non-premixed systems is discussed.
Journal ArticleDOI
On stability criteria of chemical reaction engineering
TL;DR: In this paper, the analogy between the stirred tank reactor and the catalyst particle is used to introduce some of the recent techniques of stability analysis in as simple a way as possible, and the relationship between various classes of criteria for uniqueness and stability is developed and interpretations of the less obvious criteria are given.
Journal ArticleDOI
A general asymptotic theory of diffusion flames with application to cellular instability
Sally Cheatham,Moshe Matalon +1 more
TL;DR: In this paper, a general asymptotic formulation for diffusion flames of large-activation-energy chemical reactions is presented, where the reaction is confined to a thin zone which, when viewed from a much larger diffusion scale, is a moving two-dimensional sheet.
Journal ArticleDOI
Diffusional-thermal instability of diffusion flames
TL;DR: In this paper, the model of a one-dimensional convective diffusion flame in the diffusion-flame regime of activation energy asymptotics is analyzed by studying the diffusional-thermal instability which gives rise to striped quenching patterns that have been observed for diffusion flames.
References
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Book
Advanced Engineering Mathematics
TL;DR: This book discusses ODEs, Partial Differential Equations, Fourier Series, Integrals, and Transforms, and Numerics for ODE's and PDE's, as well as numerical analysis and potential theory, and more.
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Advanced Engineering Mathematics. ByErwin Kreyszig. Pp. xx, 899. 68s. (Wiley.)
Journal ArticleDOI
Ignition and extinction in combustion of initially unmixed reactants
TL;DR: In this paper, the adequacy of direct one-step chemical kinetics for describing ignition and extinction in initially unmixed gases is studied through the particular case of inviscid axisymmetric stagnation-point flow.
Journal ArticleDOI
A theoretical study of the effects of chemical kinetics on a one-dimensional diffusion flame
D.B. Spalding,V.K. Jain +1 more
TL;DR: In this article, the effects of chemical kinetics on a one-dimensional diffusion flame were considered and a mathematical treatment which took the fuel fraction as the independent variable was presented and numerical solutions were obtained for a particular idealized hydrocarbon-air diffusion flame.
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Diffusional-thermal instability of diffusion flames
A general asymptotic theory of diffusion flames with application to cellular instability
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