A Simplified Model for Size-Dependent Growth Rate of Crystals

钱如莹

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A Simplified Model for Size-Dependent Growth Rate of Crystals

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- A Simplified Model for Size-Dependent Growth Rate of Crystals
- CIESC Journal Issue 2, (1984)
- 作者机构：
  
  上海化学工业研究院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 June 1984，
  
  Published：25 June 1984
- 稿件说明：
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钱如莹. A Simplified Model for Size-Dependent Growth Rate of Crystals[J]. CIESC Journal, 1984, (2).
DOI：

钱如莹. A Simplified Model for Size-Dependent Growth Rate of Crystals[J]. CIESC Journal, 1984, (2). DOI：

摘要

本文导出了结晶成长线速率G与粒度L关系的简化模型G=(G∞L)/(L+β)

L≥L_0>0.还给出了结晶粒度分布(CSD)公式、悬浮密度M_T公式和主要粒度L_D公式.用文献发表的典型的结晶实验(铵矾和钾矾)CSD数据来比较模型的计算值

本模型比以前各模型(大多数是经验模型)符合得更好或相当.悬浮密度的计算值与实验值相符.

Abstract

For size-dependent growth rate of crystals

a simplified model: is derived

where G is the linear growth rate of crystals

L and L0 are characteristic lengths of crystals and nuclei respectively

G∞

and β are model parameters

G∞

being the linear growth rate of extremely large crystals

and β characteristic length of crystals for which linear growth rate equals G∞/2. Equations for crystal size distribution (CSD)

suspension density MT and dominant crystal size LD are given. Compared with previous models

most of which are empirical

this model shows a comparable or better fit to the published CDS data for ammonium alum and potash alum. The calculated values of MT agree well with experimental results.

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