明胶层中的扩散和反应动力学研究Ⅵ．球型扩散及扩散伴随一级反应过程的数值解

KINETICS OF DIFFUSION WITH CHEMICAL REACTION IN A GELATION LAYER Ⅵ.NUMERICAL MODELING OF SPHERICAL DIFFUSION AND SPHERICAL DIFFUSION WITH FIRST-ORDER REACTION

本文采用有限差分法导出了扩散物从空间一点向周围作三维球型扩散和边扩散边进行一级反应的动力学方程的数值解，并描述了其求解方法。在相同的参数下，获得的数值解与相近边界条件的分析解结果对照，一致性良好，为进而研究染料云的形成过程打下基础。

Numerical solutions of kinetic equations delineating difusant's spherical diffusion and spherical diffusion with a first-order reaction from surface of a particle in the space,by finite difference method,were given in this paper.With the same parameters and nearly the same boundary conditions,the numerical solutions were compared with the analytical solutions,and good agreement was shown.This effort provides the basis for investigating the formation of dye cloud in color imaging process.