ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅰ) CONDITIONS FOR EXISTENCE OF MULTIPLICITIES AND APPEARANCE OF SUSTAINED OSCILLATIONS

YIN Qiuxiang; WANG Jingkang; ZHANG Meijing

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ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅰ) CONDITIONS FOR EXISTENCE OF MULTIPLICITIES AND APPEARANCE OF SUSTAINED OSCILLATIONS

更新时间：2025-12-10

- ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅰ) CONDITIONS FOR EXISTENCE OF MULTIPLICITIES AND APPEARANCE OF SUSTAINED OSCILLATIONS
- CIESC Journal Issue 4, (2002)
- 作者机构：
  
  天津大学化工学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 April 2002，
  
  Published：25 April 2002
- 稿件说明：
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YIN Qiuxiang, WANG Jingkang, ZHANG Meijing. ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅰ) CONDITIONS FOR EXISTENCE OF MULTIPLICITIES AND APPEARANCE OF SUSTAINED OSCILLATIONS[J]. CIESC Journal, 2002, (4).
DOI：

YIN Qiuxiang, WANG Jingkang, ZHANG Meijing. ANALYSIS OF MULTIPLICITY AND TRANSIENT PATTERNS OF ISOTHERMAL CMSMPR CRYSTALLIZERS(Ⅰ) CONDITIONS FOR EXISTENCE OF MULTIPLICITIES AND APPEARANCE OF SUSTAINED OSCILLATIONS[J]. CIESC Journal, 2002, (4). DOI：

摘要

运用分岔理论

对同时发生初级成核和二次成核的等温连续混合悬浮混合排料 (CMSMPR)结晶器的定态特性进行了分析

推导了系统存在多定态及发生持续振荡的参数条件 .以结晶过程的物性参数、动力学参数以及操作参数为基础

应用非线性方程组的延拓方法分别求解极限点条件方程组及Hopf分岔点条件方程组

确定了系统存在多定态及发生持续振荡的参数边界

Abstract

The possibilities of both multiplicities and sustained oscillations are explored by using the bifurcation theory for an isothermal continuous mixed suspension-mixed product removal (CMSMPR) crystallizer in which primary nucleation described by the Volmer model and secondary nucleation described by the magma dependent power law model take place simultaneously.The conditional equations for the existence of multiple steady states and the appearance of sustained oscillations are developed.The multiplicity boundary and sustained oscillation boundary

which are only dependent on the physical and kinetic properties and operational parameters of the process

are obtained by resolving these conditional equations by using the continuation technique.

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