Simulation of the crystallization processes by population balance model using a linear separation method

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-17 DOI:10.1515/ijnsns-2021-0126

Zehra Pinar Izgi

引用次数: 0

Abstract

Abstract Crystallization problem is one of the popular problems in wide area of science. The first principles are not used to design a crystallizer in which complicated processes include nucleation, crystal growth, attrition and agglomeration of crystals. It is modeled by the population balance model, which is one of the important models of mathematical biology and engineering, is a nonlinear partial integro-differential equation and examines the exchange of particles and the production of new particles in a system of particles. For the crystallization problem, one-dimensional and multi-dimensional models are considered and semi-analytical solutions are obtained via the linear separation method.

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用线性分离方法用种群平衡模型模拟结晶过程

摘要结晶问题是目前科学界研究的热点问题之一。第一原理不用于设计结晶器，其中复杂的过程包括晶体的成核、晶体生长、磨损和团聚。它是由种群平衡模型建模的，种群平衡模型是数学生物学和工程的重要模型之一，是一个非线性偏积分微分方程，考察粒子系统中粒子的交换和新粒子的产生。对于结晶问题，考虑了一维和多维模型，并通过线性分离方法获得了半解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.