On the Stability of Near-Equidiffusional Strained Premixed Flames

Yeongdae Kim, Moshe Matalon

Research output: Contribution to journalArticle

Abstract

In this paper we examine the effect of stretch on the stability of premixed flames. The stability problem is posed within the asymptotic limits of large activation energy and of disturbances of wavelength much larger than the flame thickness. Only disturbances that are independent of the direction of flow divergence are considered here. It is shown that stretch stabilizes the long wavelength disturbances which are otherwise unstable as a result of the Darrieus-Landau instability. On the other hand it is known that diffusion may have a stabilizing influence on the short wavelength disturbances. Thus, for a sufficiently large strain rate, a flame may become absolutely stable even in the absence of gravity or other stabilizing effects. We identify here the critical value of the strain rate above which stability may be attained and determine the stability boundaries in terms of a scaled Lewis number and of stretch, for representative values of thermal expansion.

Original languageEnglish (US)
Pages (from-to)85-97
Number of pages13
JournalCombustion science and technology
Volume69
Issue number4-6
DOIs
StatePublished - Feb 1 1990
Externally publishedYes

Fingerprint

premixed flames
disturbances
Wavelength
strain rate
Strain rate
flames
wavelengths
Lewis numbers
Thermal expansion
thermal expansion
divergence
Gravitation
Activation energy
gravitation
activation energy

ASJC Scopus subject areas

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

Cite this

On the Stability of Near-Equidiffusional Strained Premixed Flames. / Kim, Yeongdae; Matalon, Moshe.

In: Combustion science and technology, Vol. 69, No. 4-6, 01.02.1990, p. 85-97.

Research output: Contribution to journalArticle

@article{c45f02535eb9460c8486ac97f9e933ee,
title = "On the Stability of Near-Equidiffusional Strained Premixed Flames",
abstract = "In this paper we examine the effect of stretch on the stability of premixed flames. The stability problem is posed within the asymptotic limits of large activation energy and of disturbances of wavelength much larger than the flame thickness. Only disturbances that are independent of the direction of flow divergence are considered here. It is shown that stretch stabilizes the long wavelength disturbances which are otherwise unstable as a result of the Darrieus-Landau instability. On the other hand it is known that diffusion may have a stabilizing influence on the short wavelength disturbances. Thus, for a sufficiently large strain rate, a flame may become absolutely stable even in the absence of gravity or other stabilizing effects. We identify here the critical value of the strain rate above which stability may be attained and determine the stability boundaries in terms of a scaled Lewis number and of stretch, for representative values of thermal expansion.",
author = "Yeongdae Kim and Moshe Matalon",
year = "1990",
month = "2",
day = "1",
doi = "10.1080/00102209008951604",
language = "English (US)",
volume = "69",
pages = "85--97",
journal = "Combustion Science and Technology",
issn = "0010-2202",
publisher = "Taylor and Francis Ltd.",
number = "4-6",

}

TY - JOUR

T1 - On the Stability of Near-Equidiffusional Strained Premixed Flames

AU - Kim, Yeongdae

AU - Matalon, Moshe

PY - 1990/2/1

Y1 - 1990/2/1

N2 - In this paper we examine the effect of stretch on the stability of premixed flames. The stability problem is posed within the asymptotic limits of large activation energy and of disturbances of wavelength much larger than the flame thickness. Only disturbances that are independent of the direction of flow divergence are considered here. It is shown that stretch stabilizes the long wavelength disturbances which are otherwise unstable as a result of the Darrieus-Landau instability. On the other hand it is known that diffusion may have a stabilizing influence on the short wavelength disturbances. Thus, for a sufficiently large strain rate, a flame may become absolutely stable even in the absence of gravity or other stabilizing effects. We identify here the critical value of the strain rate above which stability may be attained and determine the stability boundaries in terms of a scaled Lewis number and of stretch, for representative values of thermal expansion.

AB - In this paper we examine the effect of stretch on the stability of premixed flames. The stability problem is posed within the asymptotic limits of large activation energy and of disturbances of wavelength much larger than the flame thickness. Only disturbances that are independent of the direction of flow divergence are considered here. It is shown that stretch stabilizes the long wavelength disturbances which are otherwise unstable as a result of the Darrieus-Landau instability. On the other hand it is known that diffusion may have a stabilizing influence on the short wavelength disturbances. Thus, for a sufficiently large strain rate, a flame may become absolutely stable even in the absence of gravity or other stabilizing effects. We identify here the critical value of the strain rate above which stability may be attained and determine the stability boundaries in terms of a scaled Lewis number and of stretch, for representative values of thermal expansion.

UR - http://www.scopus.com/inward/record.url?scp=0008778929&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0008778929&partnerID=8YFLogxK

U2 - 10.1080/00102209008951604

DO - 10.1080/00102209008951604

M3 - Article

AN - SCOPUS:0008778929

VL - 69

SP - 85

EP - 97

JO - Combustion Science and Technology

JF - Combustion Science and Technology

SN - 0010-2202

IS - 4-6

ER -