用线性分离方法用种群平衡模型模拟结晶过程

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-17 DOI:10.1515/ijnsns-2021-0126

Zehra Pinar Izgi

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引用次数: 0

摘要

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。

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

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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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.