Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

被引：7

作者：

Balasuriya, Sanjeeva ^{[1
]}

Volpert, Vladimir A. ^{[2
]}

机构：

[1] Connecticut Coll 5325, Dept Mat, New London, CT 06320 USA

[2] NW Univ, McCormick Sch Engn & Appl Sci, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

来源：

COMBUSTION THEORY AND MODELLING | 2008年 / 12卷 / 04期

关键词：

Arrhenius; combustion waves; Melnikov theory; step-function approximation; wavespeed;

D O I：

10.1080/13647830801968860

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：643 / 670

页数：28

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