An elementary model for autoignition of laminar jets

Peter V. Gordon; Daniel J. Gotti; Uday G. Hegde; Michael C. Hicks; Michael J. Kulis; Gregory I. Sivashinsky

doi:10.1098/rspa.2015.0059

An elementary model for autoignition of laminar jets

Peter V. Gordon^*
, Daniel J. Gotti
, Uday G. Hegde
, Michael C. Hicks
, Michael J. Kulis
, Gregory I. Sivashinsky

^*Corresponding author for this work

School of Mathematical Sciences

University of Akron
Universities Space Research Association
Case Western Reserve University
NASA Glenn Research Center

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

12 Scopus citations

Abstract

In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.

Original language	English
Article number	20150059
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	471
Issue number	2179
DOIs	https://doi.org/10.1098/rspa.2015.0059
State	Published - 8 Jul 2015

Funding

Funders	Funder number
Israel Science Foundation	335/13
Simons Foundation	317882

Keywords

Autoignition
Blow-up
Diffusion flames
Heat equation
Hydrothermal flames
Thermal runaway

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10.1098/rspa.2015.0059

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abstract = "In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.",

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AU - Gordon, Peter V.

AU - Gotti, Daniel J.

AU - Hegde, Uday G.

AU - Hicks, Michael C.

AU - Kulis, Michael J.

AU - Sivashinsky, Gregory I.

PY - 2015/7/8

Y1 - 2015/7/8

N2 - In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.

AB - In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.

KW - Autoignition

KW - Blow-up

KW - Diffusion flames

KW - Heat equation

KW - Hydrothermal flames

KW - Thermal runaway

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ER -

An elementary model for autoignition of laminar jets

Abstract

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Keywords

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