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Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics |
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| Authors: | Sanjeeva Balasuriya Vladimir A. Volpert |
| Affiliation: | 1. Department of Mathematics , Connecticut College #5325 , 270 Mohegan Avenue, New London, CT, 06320, USA;2. Department of Engineering Sciences and Applied Mathematics , McCormick School of Engineering and Applied Science, Northwestern University , Evanston, IL, 60208-3125, USA |
| Abstract: | 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. |
| Keywords: | Arrhenius combustion waves Melnikov theory step-function approximation wavespeed |