Sensitivity analysis of first-order serial reaction systems

first-order cascade reactions;  multi-kettle tandem model;  Sensitivity analysis

Applying the sensitivity analysis method of chemical system, the influence of velocity constant ratio K and operation deviation from the optimal point on product yield was studied for the first-order series reaction Ak1→Rk2→S described by the equal-volume tandem kettle model. The results show that the higher the recovery efficiency of the system, the less influence of K value change and operation deviation from the optimal point on the product yield. For the industrial serial reaction process with high recovery efficiency, the first-order sensitivity coefficient and second-order sensitivity coefficient decrease with the increase of the N value of the number of tandem segments, so the system operation sensitivity is the lowest when PFR is selected. The larger the first- and second-order sensitivity coefficients, the more accurate it is to track the optimal point operation in time with the change of system parameters, which is an effective way to ensure the improvement of yield.