Size-dependent growth kinetics model for potassium chloride from seeded chloride solution
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Dan Zheng
,
Jiao Wang
Abstract
It was widely known that crystallization kinetics are the basis for crystallization behavior and crystallizer scale-up design. Cooling crystallization of potassium chloride was an essential unit operation in recycling industry. Some researchers have proposed the strategy of adding seed crystals for the intermittent cooling crystallization process to control the particle size and distribution of the target product. This paper studied the complex function relation between particle size and growth rate of KCI in the crystallization process in a continuous mixed-suspension mixed-product-removal (MSMPR) crystallizer at a steady state. Using the crystallization kinetics data, the mathematical models of coupling crystallization were established based on the population balance equations and mass balance equations. Since population density distributions of products behave multiform under different conditions, based on diffusion theory. The growth rate was obtained by a least square method for the multivariate linear regression, and the reliability of the kinetics model was validated experimentally. Fitting results indicated that some classical models, including several size-independent growth models and size-dependent growth models, such as Bransom, C-R, MJ2, ASL, and MJ3, could not model the size-dependent growth accurately. Based on this situation, an exponential growth model was proposed and confirmed to describe the size-dependent growth behavior. It was found that the model parameters have definite meanings and were strongly related to particle size. Compared with the classical models, this model showed good pertinency and adaptability to experimental results when used to describe the population density distribution and the size-dependent growth rate of KCI. This research could provide a theoretical guide for optimizing the crystallization process and designing industrial crystallizers.
Funding source: Sichuan Science and Technology Program
Award Identifier / Grant number: 2020YFG0163
Funding source: Horizontal Project
Award Identifier / Grant number: 2021151
Funding source: Undergraduate Training Program for Innovation and Entrepreneurship
Award Identifier / Grant number: S202210622048
Acknowledgments
This work was supported by the Sichuan Science and Technology Program (Grant no. 2020YFG0163), Undergraduate Training Program for Innovation and Entrepreneurship (Grant no. S202210622048) and the Horizontal Project (Grant no. 2021151).
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Data availability: All data generated or analyzed during this study are included in this manuscript. The data included in this study are available upon request from the corresponding author.
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Articles in the same Issue
- Frontmatter
- Articles
- Size-dependent growth kinetics model for potassium chloride from seeded chloride solution
- Insights into kinetics and equilibrium of methylene blue adsorption onto β-cyclodextrin polymers
- Development of a new rotating photocatalytic reactor for the degradation of hazardous pollutants
- Promotional effects of cerium and titanium on NiMn2O4 for selective catalytic reduction of NO by NH3
- Sliding mode controller design based on simple closed loop set point experiment for higher order processes with dead time
- Performance evaluation of adaptive based model predictive control for ethylene glycol production from dimethyl oxide hydrogenation
- Experimental study on the combustion characteristics of blends of sugarcane bagasse, Nanning meager-lean coal and petroleum coke
- Ammoniacal leaching behavior and regularity of zinc ash
- Enhanced dual-DOF PI-PD control of integrating-type chemical processes
