PULSATIONS IN A BURNER-STABILIZED PREMIXED PLANE FLAME.

Bernard J. Matkowsky; David O. Olagunju

doi:10.1137/0140046

PULSATIONS IN A BURNER-STABILIZED PREMIXED PLANE FLAME.

Bernard J. Matkowsky^*, David O. Olagunju

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

48 Scopus citations

Abstract

A model for an edge-cooled flat flame burner is used to obtain expressions for the flame speed, flame temperature, standoff distance as well as the quenching distance for a plane flame front. For a given standoff distance there is a low-temperature as well as a high-temperature solution. It is shown by a linear stability analysis of the plane front that the high-temperature solution is unstable when the Lewis number is sufficiently large and the inflow velocity sufficiently less than the adiabatic flame speed. It is also shown that this instability is the type that will lead to a bifurcating time-periodic solution describing a pulsating flame.

Original language	English (US)
Pages (from-to)	551-562
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	40
Issue number	3
DOIs	https://doi.org/10.1137/0140046
State	Published - Jan 1 1981

ASJC Scopus subject areas

Applied Mathematics

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title = "PULSATIONS IN A BURNER-STABILIZED PREMIXED PLANE FLAME.",

abstract = "A model for an edge-cooled flat flame burner is used to obtain expressions for the flame speed, flame temperature, standoff distance as well as the quenching distance for a plane flame front. For a given standoff distance there is a low-temperature as well as a high-temperature solution. It is shown by a linear stability analysis of the plane front that the high-temperature solution is unstable when the Lewis number is sufficiently large and the inflow velocity sufficiently less than the adiabatic flame speed. It is also shown that this instability is the type that will lead to a bifurcating time-periodic solution describing a pulsating flame.",

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N2 - A model for an edge-cooled flat flame burner is used to obtain expressions for the flame speed, flame temperature, standoff distance as well as the quenching distance for a plane flame front. For a given standoff distance there is a low-temperature as well as a high-temperature solution. It is shown by a linear stability analysis of the plane front that the high-temperature solution is unstable when the Lewis number is sufficiently large and the inflow velocity sufficiently less than the adiabatic flame speed. It is also shown that this instability is the type that will lead to a bifurcating time-periodic solution describing a pulsating flame.

AB - A model for an edge-cooled flat flame burner is used to obtain expressions for the flame speed, flame temperature, standoff distance as well as the quenching distance for a plane flame front. For a given standoff distance there is a low-temperature as well as a high-temperature solution. It is shown by a linear stability analysis of the plane front that the high-temperature solution is unstable when the Lewis number is sufficiently large and the inflow velocity sufficiently less than the adiabatic flame speed. It is also shown that this instability is the type that will lead to a bifurcating time-periodic solution describing a pulsating flame.

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