Abstract

A new model of laminar vibrational combustion is constructed relying on a thermodynamic analysis of the combustion process. Two combustion modes, detonation and deflagration, are modeled. The nature of their origin depending on the structure of the standard chemical potential is established, and a numerical experiment concerning the onset of these combustion modes is carried out. By controlling the velocity of the passive component at the inlet, the critical value of the standard chemical potential is identified at which there appear high-frequency vibrations leading to blow-up.

中文翻译：

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振动燃烧的数学建模

摘要

基于对燃烧过程的热力学分析，构造了层流振动燃烧的新模型。对两种燃烧模式（爆震和爆燃）进行了建模。确定了它们起源的性质，取决于标准化学势的结构，并进行了有关这些燃烧模式的开始的数值实验。通过控制入口处被动组件的速度，可以确定标准化学势的临界值，在该临界值处会出现导致爆炸的高频振动。