Effect of volumetric heat loss on triple-flame propagation

Daou, Rémi; Daou, Joe͏̈l; Dold, J. W.

doi:10.1016/s1540-7489(02)80191-2

Cited by 41 publications

(16 citation statements)

References 14 publications

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“…Qualitatively consistent results have been observed in a numerical study with one-step chemistry [8]. Additional effects of volumetric heat loss on the edge propagation speed have also been studied [9].…”

Section: Introductionsupporting

confidence: 75%

Transient dynamics of edge flames in a laminar nonpremixed hydrogen–air counterflow

Yoo

2005

Proceedings of the Combustion Institute

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Section: Introductionsupporting

confidence: 75%

Transient dynamics of edge flames in a laminar nonpremixed hydrogen–air counterflow

Yoo

2005

Proceedings of the Combustion Institute

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“…They would change for different choices of β, for differing Lewis numbers of fuel and oxidant and for unequal concentrations of fuel and oxidant in their respective incoming streams [8]. The inclusion of non-adiabatic conditions in the model introduces a new phenomenon at low Lewis numbers: the diffusion flame can actually be quenched while the flame edge continues to propagate [11,12]. The overall qualitative nature of the division of parameter space presented in this paper is, however, likely to be preserved at least over a range of conditions that is not too distant from those studied here.…”

Section: Discussionmentioning

confidence: 99%

Oscillatory flame edge propagation, isolated flame tubes and stability in a non-premixed counterflow

Thatcher

Omon-Arancibia

Dold

2002

Combustion Theory and Modelling

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An investigation is carried out into the ranges of Damköhler number and Lewis number, less than unity, in which different forms of combustion phenomena arise within a non-premixed counterflow; cases that are symmetrical across the counterflow are chosen for study. These link oscillatory and steady propagation of flame edges, zero propagation speeds, isolated flame tubes, quenching and marginal stability of planar diffusion flames. Over a range of Lewis numbers, the transition between steady and oscillatory propagation of a flame edge has characteristics that are consistent with a subcritical Hopf bifurcation. Isolated flame tubes are found to persist up to a Lewis number that is very close to unity.

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“…Over the past 20 years, a large number of studies have been devoted to triple-flames due to their importance in applications involving combustion phenomena such as flame propagation in mixing layers, flame spread over solid fuel surfaces, and autoignition fronts in diesel engines [5]. Many aspects of triple-flames have been to date investigated theoretically or experimentally including preferential diffusion [6], heat losses [7][8][9], reversibility of the chemical reaction [10,11] and other factors [9,12,13].…”

Section: Introductionmentioning

confidence: 99%

Triple-flame propagation in a parallel flow: an analytical study

Daou

Al-Malki

2010

Combustion Theory and Modelling

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We present an analytical study of triple-flame propagation in a two-dimensional mixing layer against a parallel flow. The problem is formulated within a constant density thermo-diffusive model, and solved analytically in the asymptotic limit of large activation energy of the chemical reaction for flames thin compared with their typical radius of curvature. Explicit expressions are obtained in this limit, describing the influence of the flow on the triple-flame. The results are expected to be applicable when the ratio between the flow-scale and the flame-front radius of curvature (which is mainly dictated by concentration gradients) is of order unity, or larger. When this ratio is large, as in the illustrative case of a Poiseuille flow in a porous channel considered here, the flow is found to negligibly affect the flame structure except for a change in its speed by an amount which depends on the stoichiometric conditions of the mixture. On the other hand, when this ratio is of order unity, the flow is able to significantly wrinkle the flame-front, modify its propagation speed, and shift its leading edge away from the stoichiometric line. The latter situation is investigated in the illustrative case of spatially harmonic flows. The results presented describe, in particular, how the leading-edge of the flame-front can be determined in terms of the flow amplitude A which is critical in determining the flame speed. The latter is found to depend linearly on A in the first approximation with a correction proportional to the flame thickness multiplied by √ |A|, for |A| sufficiently large. The effect of varying the flow-scale on flame propagation in this context is also described, with explicit formulae provided, and interesting behaviours, such as non-monotonic dependence on the scale, identified.

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Effect of volumetric heat loss on triple-flame propagation

Cited by 41 publications

References 14 publications

Transient dynamics of edge flames in a laminar nonpremixed hydrogen–air counterflow

Transient dynamics of edge flames in a laminar nonpremixed hydrogen–air counterflow

Oscillatory flame edge propagation, isolated flame tubes and stability in a non-premixed counterflow

Triple-flame propagation in a parallel flow: an analytical study

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