DYNAMICS OF NONADIABATIC PREMIXED FLAMES IN A GRAVITATIONAL FIELD.

Hans G. Kaper; G. K. Leaf; B. J. Matkowsky; W. E. Olmstead

doi:10.1137/0147037

DYNAMICS OF NONADIABATIC PREMIXED FLAMES IN A GRAVITATIONAL FIELD.

Hans G. Kaper^*, G. K. Leaf, B. J. Matkowsky, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

1 Scopus citations

Abstract

A nonlinear stability analysis of a plane flame in a gaseous fuel subject to gravitational forces and small volumetric heat loss is presented. A nonlinear partial differential equation describing the evolution and structure of the flame is derived. It is shown that the effects of volumetric heat loss can be summarized in a scale factor multiplying the strength of the gravitational force field. The scale factor is a function of the heat loss coefficient.

Original language	English (US)
Pages (from-to)	544-555
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1137/0147037
State	Published - Jan 1 1987

ASJC Scopus subject areas

Applied Mathematics

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title = "DYNAMICS OF NONADIABATIC PREMIXED FLAMES IN A GRAVITATIONAL FIELD.",

abstract = "A nonlinear stability analysis of a plane flame in a gaseous fuel subject to gravitational forces and small volumetric heat loss is presented. A nonlinear partial differential equation describing the evolution and structure of the flame is derived. It is shown that the effects of volumetric heat loss can be summarized in a scale factor multiplying the strength of the gravitational force field. The scale factor is a function of the heat loss coefficient.",

author = "Kaper, {Hans G.} and Leaf, {G. K.} and Matkowsky, {B. J.} and Olmstead, {W. E.}",

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N2 - A nonlinear stability analysis of a plane flame in a gaseous fuel subject to gravitational forces and small volumetric heat loss is presented. A nonlinear partial differential equation describing the evolution and structure of the flame is derived. It is shown that the effects of volumetric heat loss can be summarized in a scale factor multiplying the strength of the gravitational force field. The scale factor is a function of the heat loss coefficient.

AB - A nonlinear stability analysis of a plane flame in a gaseous fuel subject to gravitational forces and small volumetric heat loss is presented. A nonlinear partial differential equation describing the evolution and structure of the flame is derived. It is shown that the effects of volumetric heat loss can be summarized in a scale factor multiplying the strength of the gravitational force field. The scale factor is a function of the heat loss coefficient.

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DYNAMICS OF NONADIABATIC PREMIXED FLAMES IN A GRAVITATIONAL FIELD.

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