等温CMSMPR结晶器定态及瞬态特性分析(Ⅱ)分岔行为及瞬态特性

ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅱ) BIFURCATION BEHAVIOR AND TRANSIENT CHARACTERISTICS

应用非线性方程组的延拓解法 ,对同时发生初级成核和二次成核的等温连续混合悬浮混合排料(CMSMPR)结晶器的定态方程组进行了求解 ,考察了结晶过程的定态在不同参数区域之间的分岔行为 ,确定了各参数区域内结晶过程的定态数目 ,并应用Routh -Hurwitz准则对各定态的稳定性进行了分析 .采用四阶Runge -Kutta法求解CMSMPR结晶器的动态方程组 。

The bifurcation behavior in various parameter regions is explored for an isothermal continuous mixed suspension-mixed product removal (CMSMPR) crystallizer in which primary nucleation and secondary nucleation take place simultaneously by resolving the steady state equations with the continuation technique for nonlinear equations.The number of the steady states of the crystallizer in various parameter regions is determined and the stability of the steady states is analyzed by use of the Routh-Hurith criteria.In addition, the transient characteristics of the crystallizer in both multiplicity and sustained oscillation regions are investigated by resolving the dynamic equations with a fourth-order Runge-Kutta technique.