Imaging Science and Photochemistry ›› 1996, Vol. 14 ›› Issue (1): 20-26.DOI: 10.7517/j.issn.1674-0475.1996.01.20

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

ZHANG Yongiun, ZHAOWenfang, XIA Peijie, REN Xinmin   

  1. Institute of Photographic Chemistry, The Chinese Academy of Sciences, Beijing 100101, P. R. China
  • Received:1995-05-22 Online:1996-02-20 Published:1996-02-20

Abstract: 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.

Key words: chemical kinetics, numerical simulation, color imaging process