Non-ideal mixing phenomena are widely found in industrial chemical reactors. In this work we derived the bifurcation formulas for a non-adiabatic CSTR with an irreversible exothermic first order reaction with the non-ideal mixing effect. This is investigated via dynamic behavior simulations based on Chollete’s model. The results show that the non-ideal mixing parameter n (the fraction of the feed entering the perfect mixing zone) determines the variation between six classified regions and dominates the dynamic behavior patterns in the steady-state response diagram. On the other hand, the phase portraits of examples verify the formulas derived in this work. We note that the non-ideal mixing effect has significant importance in CSTR design and control steps. For example, in the safe operating region for an ideal mixing CSTR, non-linear dynamics are obtained by the system under non-ideal mixing conditions ( n ≠ 1). The present study has significance and help for chemical reactor design and CSTR control.

中文翻译：

---

Cholette模型在非理想混合CSTR中的应用：动态行为的仿真研究

在工业化学反应器中广泛发现非理想的混合现象。在这项工作中，我们推导了具有非理想混合效应的不可逆放热一阶反应的非绝热CSTR的分叉公式。这是通过基于Chollete模型的动态行为仿真来研究的。结果表明，非理想的混合参数n（进入理想混合区的进料比例）决定了六个分类区域之间的变化，并支配了稳态响应图中的动态行为模式。另一方面，示例的相图验证了这项工作中得出的公式。我们注意到，非理想的混合效应在CSTR设计和控制步骤中具有重要意义。例如，在理想混合CSTR的安全操作区域中，系统在非理想混合条件（n≠1）下获得非线性动力学。本研究对化学反应器设计和CSTR控制具有重要意义和帮助。