Dold, J W and Hartley, L J and Green, D
(1991)
*Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion.*
In:
Dynamical Issues in Combustion Theory.
IMA Volumes in Mathematics and its Applications, 35
.
Springer-Verlag, Berlin, Heidelberg, pp. 83-105.
ISBN 0387975837

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## Abstract

In the spirit of laminar-flamelet modelling of non-premixed turbulent combustion, a diffusion flamelet is studied. However, the flamelet is also taken to end at a finite position. Such an end of a diffusion flame exhibits fuel-rich and fuel-lean elements as well as the diffusion flame sheet—a structure that is known as a \emph{triple-flame} and which has the property of being able to propagate. A counterflow geometry with shear becomes the most relevant situation in which to picture ends of diffusion flames in a turbulent flow. In an equidiffusive system, the speed of propagation of the end-point is demonstrated to be positive only for relatively limited values of strain or scalar dissipation rate and becomes large and negative towards the higher finite value at which a diffusion flame would extinguish uniformly. The implications of these findings for the behaviour of turbulent diffusion flames are discussed.

Item Type: | Book Section |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 41 Approximations and expansions PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 80 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY > 82 Physical chemistry and chemical physics molecular physics |

Depositing User: | Prof John Dold |

Date Deposited: | 24 May 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/808 |

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