CIESC Journal

• 化工学报 • 上一篇    下一篇

颗粒/流体反应的分数维模型

马兴华   

  1. 中国科学院化工冶金研究所 北京 100080
  • 出版日期:1999-04-25 发布日期:1999-04-25

FRACTAL REACTION MODEL FOR PARTICLE/FLUID SYSTEM

Ma Xinghua (Institute of Chemical Metallurgy, Chinese Academy of Sciences, Beijing 100080)   

  • Online:1999-04-25 Published:1999-04-25

摘要: 在分形理论的基础上发展了形状不规则颗粒/流体体系的分数维反应模型。在拟稳态条件下求得反应物浓度分布式、反应时间、完全反应时间、相对反应时间、单位时间的反应量和颗粒转化率的分数维表达式。并由此导出膜扩散、灰层扩散和化学反应3个阶段的反应时间等参数,讨论了颗粒的分数维对反应过程的影响。

Abstract: On the base of fractal theory, a fractal reaction model of shrinking core in irregular particle/ fluid system is developed. A pseudo - steady state equation of material balance and its solution in terms of the concentration profile of reacting fluid and the expressions of reaction time, complete reaction time, relative reaction time the amount of reacting fluid per unit time (and the conversion of the particle) are given in fractal dimension. The reaction time and other parameters at the control stages, such as fluid film diffusion, ash diffusion and chemical reaction, are also derived from the above expressions. The influences of fractal dimensions of particles on the reaction processes are discussed.

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