Analysis of chemical kinetic systems over the entire parameter space. III. A wet combustion system

B. F. Gray
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引用次数: 14

Abstract

A simple generalization of Semenov thermal explosion theory is studied here; one exothermic reaction taking place at the same time as a second one involving water as a reactant. Evaporation and condensation are also considered. The resulting two ordinary differential equations containing three parameters are treated by recently developed methods outlined in the first paper of this series. This model is a simple representation of the combustion of wet cellulosic materials such as bagasse, cotton and sawdust. The theory predicts an amazing variety of behaviour arising in association with the degenerate singularities that occur. These include degeneracies up to and including the quartic fold, H32 bifurcation and degenerate double zero eigenvalue points.
整个参数空间的化学动力学系统分析。3湿式燃烧系统
本文研究了塞门诺夫热爆炸理论的一个简单推广;一个放热反应与另一个以水为反应物的放热反应同时发生。蒸发和冷凝也被考虑在内。所得到的两个包含三个参数的常微分方程用本系列第一篇文章中概述的最近发展的方法来处理。这个模型是一个简单的燃烧湿纤维素材料,如甘蔗渣,棉花和锯末的表示。该理论预测了与退化奇点相关的各种惊人的行为。这些包括退化到并包括四次褶皱,H32分岔和退化双零特征值点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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