Mathematical modeling of thermal explosion with natural convection: A brief survey

被引：2
|
作者：
Allali K. [1 ]
Joundy Y. [1 ]
Taik A. [1 ,2 ]
机构：
[1] Laboratory of Mathematics and Applications, University Hassan II of Casablanca, PO Box 146, FST-Mohammadia
[2] Complex Systems Engineering and Human Systems, Mohammed VI Polytechnic University, Benguerir
来源：
Mathematical Modelling of Natural Phenomena | 2019年 / 14卷 / 06期
关键词：
Natural convection; Navier Stokes equations; Porous medium; Thermal explosion;
D O I：
10.1051/mmnp/2019049
中图分类号：
学科分类号：
摘要：
Thermal (or heat) explosion occurs in a reacting medium if the heat production due to an exothermic chemical reaction exceeds the heat loss through the boundary. In the mathematical approximation heat explosion is characterized by an unbounded temperature growth. If the reaction occurs in a liquid or gaseous medium, then a nonuniform temperature distribution can lead to natural convection. The interaction of heat explosion with natural convection can result in various regimes with a bounded temperature distribution (stationary, periodic, chaotic) and to a transition to heat explosion. The latter can be accompanied by a monotonic temperature growth or by temperature oscillations (oscillating heat explosion). This paper presents a review on mathematical modelling of heat explosion with natural convection in a homogeneous fluid and in a porous medium. © EDP Sciences, 2019
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