The stability of plane flames attached to a flameholder

H. G. Kaper; G. K. Leaf; M. Matalon; B. J. Matkowsky

doi:10.1080/00102208508947009

The stability of plane flames attached to a flameholder

H. G. Kaper, G. K. Leaf, M. Matalon, B. J. Matkowsky

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.

Original language	English (US)
Pages (from-to)	271-286
Number of pages	16
Journal	Combustion science and technology
Volume	43
Issue number	5-6
DOIs	https://doi.org/10.1080/00102208508947009
State	Published - Sep 1 1985

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)
Fuel Technology
Energy Engineering and Power Technology
Physics and Astronomy(all)

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10.1080/00102208508947009

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title = "The stability of plane flames attached to a flameholder",

abstract = "A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.",

author = "Kaper, {H. G.} and Leaf, {G. K.} and M. Matalon and Matkowsky, {B. J.}",

note = "Funding Information: This work was suppo rted by the Appl ied Mathemat ics Program of the Office of Energy Research. U.S. Department of Energy, and the Engineering Energetics Program of the National Science Foundation.",

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AU - Kaper, H. G.

AU - Leaf, G. K.

AU - Matalon, M.

AU - Matkowsky, B. J.

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N2 - A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.

AB - A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.

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The stability of plane flames attached to a flameholder

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