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Type: Journal article
Title: Wavespeed analysis: approximating Arrhenius kinetics with step-function kinetics
Author: Balasuriya, S.
Volpert, V.
Citation: Combustion Theory and Modelling, 2008; 12(4):643-670
Publisher: IOP Publishing Ltd
Issue Date: 2008
ISSN: 1364-7830
Statement of
Sanjeeva Balasuriya and Vladimir A. Volpert
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
Rights: © 2008 Taylor & Francis
RMID: 0020104621
DOI: 10.1080/13647830801968860
Appears in Collections:Mathematical Sciences publications

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