CIESC Journal

• 化工学报 • 上一篇    下一篇

具有分级腿的工业结晶器的近似数学模型及其设计

钱如莹,陈祖德   

  1. 上海化学工业研究院 ,上海化学工业研究院
  • 出版日期:1985-09-25 发布日期:1985-09-25

An Approximate Mathematical Model for Design of Industrial Crystallizers with Elutriators

Qian Ruying and Chen Zude (Shanghai Research Institute of Chemical Industry)   

  • Online:1985-09-25 Published:1985-09-25

摘要: 工业结晶器中结晶粒度分布,由于有周期性波动、分级和细晶带出等影响,常严重偏离混合悬浮混合出料型结晶器的粒度分布.本文用分段的方法,以稳态的粒度分布来等效地拟合结晶的四个粒级,其中占主要重量百分数的粒级拟合良好.本模型计算结果与520升扩大试验结晶器的实验结果符合较好.结晶的成长速率、平均粒度、悬浮密度和结晶器的生产能力的计算值均与实验相符.本文并提出了用该模型设计具有分级腿的工业结晶器的方法.

Abstract: In spite of the effect of cycling on crystal size distribution(CSD) of potassium chloride in a pilot plant crystallizer, the average size can still be simulated by a steady-state mathematical model. According to this model, the CSD in the main size range for industrial crystallizers may be expressed as an exponential function of the population density n with respect to crystal size L, as for mixed-suspension-mixed-product-removal (MSMPR) crystallizers. For fine and coarse crystals, the withdrawal of fines and the classification of coarse crystals, respectively, should be taken into account as in the case of the R-Z model. For intermediate crystals, which can settle behind the baffles and can not be drawn off effectively from the elutriator, their retention time is taken to be infinite for simplification. The resulting mathematical model is expressed by Eqs. ( 2 )-( 5 ) and illustrated in Fig. 2. This model is a generalized form of all previous models for crystallizers. The calculated CSD in the main-size range fits well data from a 520-liter pilot-plant crystallizer. The calculated values for crystal growth rate G, dominant crystal size LD, median crystal size L50, suspension density MT, and production rate P/V, all agree, within 10%, with the corresponding experimental data. However, the MT equation, Eq. (10), is rather complicated, so a. simplified model, in which LF = 0 and Z = ∞, is derived, and a simplified MT equation, Eq. (11), is used for crystallizer design. The design Procedure for industrial crystallizers with elutriators is also given.