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Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics
- DOI:
- 10.1080/13647830801968860
pages 643-670
Available online: 21 Jul 2008Abstract
The accuracy of using step-function approximations to the Arrhenius exponential in computing the wavespeed in combustion wave propagation is investigated. Gaseous and gasless combustion, and first- and second-order reactions are included in the study. The theoretical analysis is based on Melnikov theory from dynamical systems. The error is shown to be small in most instances. The analytical results are supported with numerical simulations.
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- Citation information:
- Available online: 21 Jul 2008
Author affiliations
- a Department of Mathematics, Connecticut College #5325, 270 Mohegan Avenue, New London, CT, 06320, USA
- b Department of Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL, 60208-3125, USA
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