气固系统中颗粒包覆均匀性数值模拟研究进展

兰蕊; 田宇; 刘荣正; 杨旭; 刘兵; 邵友林; 刘马林

doi:10.11949/0438-1157.20251378

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气固系统中颗粒包覆均匀性数值模拟研究进展

综述与专论 | 更新时间：2026-08-21

- 气固系统中颗粒包覆均匀性数值模拟研究进展
- Research progress in numerical simulation of particle coating uniformity in gas-solid systems
- 化工学报 2026年77卷第7期页码：3712-3729
- 作者机构：
  
  清华大学核能与新能源技术研究院，北京 100084
- 作者简介：
  
  兰蕊（2002—），女，硕士研究生，lanr24@mails.tsinghua.edu.cn
  刘马林（1982—），男，博士，教授，liumalin@tsinghua.edu.cn
- 基金信息：
  
  国家自然科学基金项目(22478220);国家高层次人才计划（青年项目）(20224723061)
- DOI：10.11949/0438-1157.20251378
  中图分类号： TQ 018
- 收稿：2025-12-08，
  
  修回：2026-01-08，
  
  网络首发：2026-08-20，
  
  纸质出版：2026-07-25
- 稿件说明：
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兰蕊, 田宇, 刘荣正, 杨旭, 刘兵, 邵友林, 刘马林. 气固系统中颗粒包覆均匀性数值模拟研究进展[J]. 化工学报, 2026, 77(7): 3712-3729

LAN Rui, TIAN Yu, LIU Rongzheng, YANG Xu, LIU Bing, SHAO Youlin, LIU Malin. Research progress in numerical simulation of particle coating uniformity in gas-solid systems[J]. CIESC Journal, 2026, 77(7): 3712-3729
兰蕊, 田宇, 刘荣正, 杨旭, 刘兵, 邵友林, 刘马林. 气固系统中颗粒包覆均匀性数值模拟研究进展[J]. 化工学报, 2026, 77(7): 3712-3729 DOI： 10.11949/0438-1157.20251378.

LAN Rui, TIAN Yu, LIU Rongzheng, YANG Xu, LIU Bing, SHAO Youlin, LIU Malin. Research progress in numerical simulation of particle coating uniformity in gas-solid systems[J]. CIESC Journal, 2026, 77(7): 3712-3729 DOI： 10.11949/0438-1157.20251378.

摘要

颗粒包覆过程在药物制备、功能颗粒制备、核燃料颗粒制备等工业领域有着重要应用。颗粒包覆的均匀性是颗粒包覆过程优化控制的主要目的，是一种包覆工艺成熟的主要标志。其一般包括两个主要方面，即颗粒间包覆均匀性（inter-particle coating uniformity）和颗粒内包覆均匀性（intra-particle coating uniformity）。本文详细综述颗粒包覆均匀性的数值模拟方法，对其发展历程和演化机理进行分析，并给出未来发展的启示。在颗粒间均匀性数值模拟方面，研究工作涵盖基于停留时间分布的统计模型、基于Monte Carlo方法描述的随机沉积模型、耦合流体力学与颗粒运动的CFD-DEM框架，以及多尺度耦合等高保真模型，这些方法旨在全面揭示包覆前体物质分布、混合特性与颗粒动力学对包覆均匀性的影响；在颗粒内包覆均匀性数值模拟方面，主要包括表面离散化模型、连续场模型、球谐函数模型及颗粒绑定型非均相包覆模型四类，对比分析了其优缺点。颗粒内包覆均匀性是精细调节整体包覆质量的关键环节，目前多是实验规律研究，数学建模和机理研究还很不完善，亟待深入。未来颗粒包覆均匀性数学模拟需要在精确性和复杂性之间取得平衡，构建兼具可计算性与符合物理机制的多尺度耦合框架，以更高效地支撑包覆工艺优化与揭示包覆机理。

Abstract

The particle coating process plays a significant role in various industrial applications

including drug preparation

functional particle preparation

and nuclear fuel particle preparation. The uniformity of particle coating is the primary objective in optimizing the coating process and a key indicator of the maturity of the coating technology. It generally involves two main aspects: inter-particle coating uniformity and intra-particle coating uniformity. Both aspects have been extensively studied in the literature through experimental and simulation research. This review provides a detailed overview of numerical simulation methods for particle coating uniformity

analyzes their development trajectory and underlying mechanisms

and offers insights into future development directions. In terms of inter-particle coating uniformity

four methods are developed: statistical models based on residence time distribution

random deposition models described by the Monte Carlo method

the CFD-DEM framework coupling fluid dynamics and particle motion

and high-fidelity models involving multi-mechanism coupling. These methods aim to comprehensively reveal the effects of precursor material distribution

mixing characteristics

and particle dynamics on coating uniformity. In numerical simulations of intraparticle coating homogeneity

four main types have been identified: surface discretization models

continuous field models

spherical harmonic function models

and particle-bound heterogeneous coating models. Their advantages and disadvantages have been compared and analyzed. Intra-particle coating uniformity is a critical factor in determining overall coating quality precisely. Current research focuses on experimental studies predominantly

while mathematical modeling and mechanistic understanding remain underdeveloped. Future advancements in numerical simulations of coating uniformity should aim to balance computation precision and complexity

establishing a multi-scale coupled framework that integrates computational feasibility with physical fidelity

thereby providing more efficient support for coating process optimization and mechanism elucidation.

关键词

Keywords

references

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