以参数敏感性定义作为理论基础和数学依据,证明了一级间歇放热反应系统操作曲线与温度最大点曲线的拐点轨迹相切的点是反应系统热失控的参数敏感点,从理论上给出了反应系统的安全操作所允许的温度上限。利用敏感点和超临界操作曲线的拐点关系,推导出反应系统安全操作的临界判据。将该临界判据与Adler和Enig、van Welsenaere和Froment以及Wu等的经典判据进行比较,结果与文献值基本一致。将该临界判据和经典判据与Allen和Rice的实验结果进行对比,该标准也能很好地预测出偶氮甲烷分解爆炸的压力。
The parameter sensitive point for thermal runaway of batch reactor with first order reaction was proved to be the contact point where the operation curve is tangent with the inflection points locus of operation curves according to the theory and mathematic features of parameter sensitivity.The upper limit of safe operation temperature of the batch reactor was derived.A new safe operation criterion of the reaction system was obtained by taking advantage of the relationship between the parameter sensitive point on the critical operation curve and the inflection point on the supercritical one.This new criterion was compared with the classic criteria which proposed by Adler and Enig,van Welsenaere,Froment and Wu,et al.Explosion limits for azomethane decomposition as predicted by the new criterion agreed as well with the experimental data measured by Allen and Rice as those predicted by the classic criteria.