Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Sanjeeva Balasuriya; Vladimir A. Volpert

doi:10.1080/13647830801968860

Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Sanjeeva Balasuriya^*, Vladimir A. Volpert

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English (US)
Pages (from-to)	643-670
Number of pages	28
Journal	Combustion Theory and Modelling
Volume	12
Issue number	4
DOIs	https://doi.org/10.1080/13647830801968860
State	Published - Aug 2008

Keywords

Arrhenius
Combustion waves
Melnikov theory
Step-function approximation
Wavespeed

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering
Modeling and Simulation
Fuel Technology
Energy Engineering and Power Technology
General Physics and Astronomy

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10.1080/13647830801968860

Cite this

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title = "Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics",

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",

author = "Sanjeeva Balasuriya and Volpert, {Vladimir A.}",

year = "2008",

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T2 - Approximating Arrhenius kinetics with step-function kinetics

AU - Balasuriya, Sanjeeva

AU - Volpert, Vladimir A.

PY - 2008/8

Y1 - 2008/8

N2 - 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.

AB - 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.

KW - Arrhenius

KW - Combustion waves

KW - Melnikov theory

KW - Step-function approximation

KW - Wavespeed

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JO - Combustion Theory and Modelling

JF - Combustion Theory and Modelling

IS - 4

ER -

Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Abstract

Keywords

ASJC Scopus subject areas

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