Modelling a slow smoldering combustion process

被引：6
|
作者：
Fasano, A. [1 ]
Mimura, M. [2 ]
Primicerio, M. [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[2] Meiji Univ, Meiji Inst Adv Study Math Sci, Tokyo 101, Japan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 10期
关键词：
combustion; travelling waves; FINGERING INSTABILITY;
D O I：
10.1002/mma.1301
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a mathematical model for the slow and partial combustion process of a sheet of paper ignited on one side and in the presence of a flow of air confined in a narrow gap above the paper. The model includes mass and thermal balance for the various components. After having introduced some simplifications, a suitable rescaling is performed and some limit cases are examined. Two classes of travelling wave solutions are analyzed, corresponding to the opposite cases of a sufficiently large or of a moderate air flow. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码：1211 / 1220
页数：10
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