明胶层中的扩散和反应的动力学研究 (Ⅰ)纯扩散和扩散伴随一级反应的数值模型

KINETICS OF DIFFUSION WITH CHEMICAL REACTIONS IN A GELATIN LAYER (Ⅰ) NUMERICAL MODELING OF DIFFUSION AND DIFFUSION WITH A FIRST-ORDER REACTION

设计了两个数值模型,分别描述明胶层中的反应物的纯扩散和扩散伴随一般反应的动力学过程。用这些模型可以给出反应物在明胶层中不同时间下的空间分布。比之通常的分析解法,计算机化的数值模型更易求解,而且更具有解决复杂动力学过程的能力。为了验证这些数值模型的适用性,还同时与相应的分析解法作了对照。

In this paper numerical modeling was used to investigate kinetics of diffusion and diffusion with a first-order reaction in a gelatin layer, with which the space distributions of a diffu-sant in a gelatin layer at different times were obtained. The advantages of these computerized models over the conventional analytical method were: 1) easier to find numerical solutions; 2) of more potential to study rather complicated processes of diffusion with chemical reactions in gelatin layer. In order to verify the reliability of these models, the cooresponding analytical solutions were used by comparison.