Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion
Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion
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DOI：
10.1137/16m1089915
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
Ekeoma R. Ijioma;H. Izuhara;M. Mimura
中科院分区：
文献类型：
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作者：
Ekeoma R. Ijioma;H. Izuhara;M. Mimura
燃烧是一个快速的氧化过程，并根据实验条件表现出不同的行为。当没有空气的自然对流时，例如在航天飞机上的实验中或在垂直封闭的系统中，会出现意想不到的手指状阴燃燃烧。本文从计算机辅助分析的角度研究了描述阴燃燃烧的反应-扩散-平流系统。特别是，我们专注于系统的行波解，这代表了燃烧的特征传播。结果表明，稳定行波解的存在与否决定了燃烧前缘在一维空间中是否以自持方式传播。在两个空间维度，我们数值建议存在一个行波点的解决方案，其中流量太低，以支持平面行波解。此外，我们还讨论了燃烧波到达边界时的反射现象。
Combustion is a fast oxidation process and exhibits diverse behaviors according to experimental conditions. When there is no natural convection of air, such as in experiments aboard a space shuttle or in a vertically confined system, an unexpected finger-like smoldering combustion develops. In this paper, a reaction-diffusion-advection system that describes smoldering combustion is studied from the viewpoint of computer-aided analysis. In particular, we focus on the traveling wave solutions of the system, which represent the characteristic propagation of combustion. It is revealed that the existence or nonexistence of stable traveling wave solutions determines whether or not a combustion front propagates in a self-sustained way in one space dimension. In two space dimensions, we numerically suggest the existence of a traveling spot solution in which the flow rate is too low to support planar traveling wave solutions. Moreover, we discuss reflection phenomena of a combustion wave when it reaches the bounda...