Transient responses of immobilized enzyme reactors were obtained by solving coupled governing equations for core-shell catalytic pellets. The morphology of the pellets was assumed as sphere, cylinder, and slab-type particles having inert cores. Nonlinear reaction-diffusion equations of batch-mode reaction systems were solved by finite element method using commercial software, COMSOL Multiphysics, to investigate the effect of adjustable parameters such as thickness of inert core, Biot number, and the amount of pellets as well as reaction parameters of Michaelis-Menten kinetics. Modeling of CSTR was also carried out and the results were compared with the transient response of batch reactor by adjusting retention time during numerical calculations, reflecting deactivation of enzyme as time-dependent rate constant. For both types of reactors, spherical pellets were the most advantageous for reduction of reactant concentration with relatively smaller effect of the thickness of inert core, compared to other types of pellets. Additionally, a number of connected CSTRs were assumed for approximate analysis of fixed bed reactor, of which the behavior became close to a simple CSTR with increasing axial dispersion.

固定化酶反应器的瞬态响应是通过求解核壳催化颗粒的耦合控制方程来获得的。粒料的形态被假定为具有惰性芯的球形、圆柱形和板状颗粒。使用商业软件 COMSOL Multiphysics 通过有限元法求解间歇模式反应系统的非线性反应-扩散方程，以研究惰性核厚度、Biot等可调参数的影响数量、颗粒量以及 Michaelis-Menten 动力学的反应参数。还对 CSTR 进行了建模，通过在数值计算期间调整保留时间，将结果与间歇反应器的瞬态响应进行比较，将酶的失活反映为时间相关的速率常数。对于这两种类型的反应堆，与其他类型的颗粒相比，球形颗粒最有利于降低反应物浓度，惰性芯厚度的影响相对较小。此外，假设许多连接的 CSTR 用于对固定床反应器进行近似分析，随着轴向分散的增加，其行为变得接近简单的 CSTR。