We consider the numerical solution of competitive exothermic and endothermic reactions in the presence of a chaotic advection flow. The resulting behaviour is characterized by a strong dependence on the competitive reaction history. The burnt temperature is not immediately connected to simple enthalpy calculations, so there is a subtlety in the interplay between the major parameters, notably the Damköhler number, the ratio of the heats of exothermic and endothermic reactions, as well as the ratio of their respective activation energies. This paper seeks to explore the way these parameters affect the steady states of these reaction fronts and their stability.

中文翻译：

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具有竞争性放热和吸热反应的一维混沌层流

我们考虑在存在混沌平流流动的情况下竞争性放热和吸热反应的数值解。由此产生的行为的特点是对竞争反应历史的强烈依赖。燃烧温度与简单的焓计算没有直接联系，因此主要参数之间的相互作用很微妙，特别是 Damköhler 数、放热和吸热反应的热比，以及它们各自的活化比能量。本文旨在探索这些参数如何影响这些反应前沿的稳态及其稳定性。