壁冷管式反应器的多态、稳定性及可操作性——Ⅰ.全局分析方法

MULTIPLICITY,STABILITY AND OPERABILITY OF WALL-COOLED TUBULAR REACTORSⅠ.METHODS FOR GLOBAL ANALYSIS

本文研究了壁冷管式反应器的多态、稳定性及可操怍性的全局分析方法.为了求解有分枝点解的非线性方程组,作者以配置法为数值分析方法,以连续性算法全程跟踪解曲线,并应用奇异性理论以获得由解曲线的拐点构成的多态区.由连续性算法跟踪解曲线也可获得"飞温"限.由此可确定由各无因次参数群所组成的相平面上的可操作区.

This paper aims at studying the global analysis methods for multiplicity,stability and operability of wall-cooled tubular reactors.For solving nonlinear ODEs with bifurcation points,the authors suggest the use of collocation method for numerical analysis,continuation method for globally tracing solution curve and the singularity theory for obtaining the multiplicity zone enveloped by curves composed by tuning points of solution curves.Runaway conditions are also predicted by tracing solution curves using continuation method.Through multiplicity zone and runaway condition one can decide the operable region on the phase planes of dimensionless parameter groups.