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Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions

Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions
Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions
The one-dimensional propagation of a combustion wave through a premixed solid fuel for two-stage kinetics is studied. We re-examine the analysis of a single reaction travelling-wave and extend it to the case of two-stage reactions. We derive an expression for the travelling wave speed in the limit of large activation energy for both reactions. The analysis shows that when both reactions are exothermic, the wave structure is similar to the single reaction case. However, when the second reaction is endothermic, the wave structure can be significantly different from single reaction case. In particular, as might be expected, a travelling wave does not necessarily exist in this case. We establish conditions in the limiting large activation energy limit for the non-existence, and for monotonicity of the temperature profile in the travelling wave.
129-143
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Liu, F.
a6c6cb16-dd15-4956-a046-2560fa512d60
McElwain, D.L.S.
2b1b25a5-d12f-41bd-bf1a-0f8b9afd65b6
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Liu, F.
a6c6cb16-dd15-4956-a046-2560fa512d60
McElwain, D.L.S.
2b1b25a5-d12f-41bd-bf1a-0f8b9afd65b6

Please, C.P., Liu, F. and McElwain, D.L.S. (2003) Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions. Combustion Theory and Modelling, 7, 129-143. (doi:10.1088/1364-7830/7/1/307).

Record type: Article

Abstract

The one-dimensional propagation of a combustion wave through a premixed solid fuel for two-stage kinetics is studied. We re-examine the analysis of a single reaction travelling-wave and extend it to the case of two-stage reactions. We derive an expression for the travelling wave speed in the limit of large activation energy for both reactions. The analysis shows that when both reactions are exothermic, the wave structure is similar to the single reaction case. However, when the second reaction is endothermic, the wave structure can be significantly different from single reaction case. In particular, as might be expected, a travelling wave does not necessarily exist in this case. We establish conditions in the limiting large activation energy limit for the non-existence, and for monotonicity of the temperature profile in the travelling wave.

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Published date: 2003

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Local EPrints ID: 29260
URI: http://eprints.soton.ac.uk/id/eprint/29260
PURE UUID: 2dad2d4b-e975-4837-91b5-75722eb55fa1

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Date deposited: 12 May 2006
Last modified: 08 Jan 2022 03:51

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Contributors

Author: C.P. Please
Author: F. Liu
Author: D.L.S. McElwain

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