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

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
Externally published	Yes

ASJC Scopus subject areas

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

Online availability

10.1080/00102208508947009

Library availability

Discover UIUC Full Text

Cite this

@article{3d967329cf134a3b897d2a5545e3389a,

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.",

year = "1985",

month = sep,

day = "1",

doi = "10.1080/00102208508947009",

language = "English (US)",

volume = "43",

pages = "271--286",

journal = "Combustion Science and Technology",

issn = "0010-2202",

publisher = "Taylor and Francis Ltd.",

number = "5-6",

}

TY - JOUR

T1 - The stability of plane flames attached to a flameholder

AU - Kaper, H. G.

AU - Leaf, G. K.

AU - Matalon, M.

AU - Matkowsky, B. J.

N1 - 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.

PY - 1985/9/1

Y1 - 1985/9/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84948239461&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948239461&partnerID=8YFLogxK

U2 - 10.1080/00102208508947009

DO - 10.1080/00102208508947009

M3 - Article

AN - SCOPUS:84948239461

SN - 0010-2202

VL - 43

SP - 271

EP - 286

JO - Combustion Science and Technology

JF - Combustion Science and Technology

IS - 5-6

ER -

The stability of plane flames attached to a flameholder

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this