Flame propagation in Poiseuille flow under adiabatic conditions

Daou, J. and Matalon, M. (2001) Flame propagation in Poiseuille flow under adiabatic conditions. Combustion and Flame, 124 (3). pp. 337-349. ISSN 0010-2180

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Abstract

We describe flame propagation in a channel subject to a Poiseuille flow, within the thermo-diffusive approximation and an adiabatic context. The two-dimensional flame fronts addressed may be either assisted or opposed by the flow. The problem is characterized by two parameters, the intensity of the flow u0 and the spatial scale small epsilon, Greek. The total burning rate and the propagation speed are determined in terms of u0 and small epsilon, Greek and different distinguished regimes are described. From the results, simple criteria for flame flashback in channels are identified. Conclusions concerning the long-term evolution of an ignition kernel in the present flow are also drawn. The results may also be useful in interpreting similar features encountered in more complicated flow situations. For example, the quadratic dependence of the burning rate on u0 for weak flow intensities, and linear dependence for larger u0, is similar to that of the turbulent flame speed when the latter is considered as a function of the velocity fluctuations or turbulence intensity.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 80 Classical thermodynamics, heat transfer
Depositing User:	Ms Lucy van Russelt
Date Deposited:	03 Aug 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/428

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