Combustion waves with reactant depletion

被引：2

作者：

Graham-Eagle, J ^{[1
]}

Schult, DA

机构：

[1] Univ Massachusetts, Dept Math & Stat, Lowell, MA 01854 USA

[2] Colgate Univ, Dept Math, Hamilton, NY 13346 USA

来源：

ANZIAM JOURNAL | 2001年 / 43卷

关键词：

D O I：

10.1017/S1446181100011469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple model for the propagation of a combustion wave is proposed and the speed of propagation is predicted. It is assumed that the reactant ignites at a specified temperature and then burns until depleted with reaction rate dependent on temperature and reactant concentration. The exact solution and linear stability are determined in the case of constant heat generation and a numerical scheme is developed to generate traveling wave solutions in the more general case. This numerical method is applied to the case where the temperature dependence of the reaction rate is modeled by the Arrhenius function.

引用

页码：119 / 135

页数：17

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