n级不可逆反应体系多定态解结构的理论分析

A THEORITICAL ANALYSIS TO THE MULTIPLE STEADY STATE STRUCTURE OF n ORDFR IRREVERSIBLE REACTION SYSTEM

本文利用奇异理论和突变理论,分析了单颗粒催化剂上n级不可逆放热反应体系多定态解的结构。对零级、一级不可逆反应,体最多存在3个定态解,并得到体系定态唯一的准确判据;对n级不可逆反应(n≠0,1),研究表明体系最多存在有4个定态,此时定态唯一的判据无简洁的解析表达式可供利用,本文利用区域搜索算法确定了体系在操作参数平面上定态唯一与多态区之间的分界线,可利用该分区图确定不同参数条件下体系多定态的解结构。

By using the singularity theory and catastrophe theory, the multiple steady state structure of n or- der irreversible reaction which takes place on a single catalytic pellet was analysed. For zero and first order reactions, the maximum number of steady state is three, and the exact criteria for unique steady state or multiple steady states was obtained. For n order irreversible reactions (n≠0, 1), the analysis showed that the systems may exist four steady states at most, and no exact criterion for unique steady state can be used. By means of the regional search algorithm developed by the authors, the projection of the system catastrophe set on operating parameter plane was numerically obtuined. From this dia- gram, the multiple steady state construction of the system would be determined under the different op- erating parameter conditions.