Analysis of nanoparticle agglomeration characteristics in pulsating fluidized beds based on the modified population balance model

doi:10.16085/j.issn.1000-6613.2024-1692

Chemical Industry and Engineering Progress ›› 2025, Vol. 44 ›› Issue (11): 6144-6152.DOI: 10.16085/j.issn.1000-6613.2024-1692

• Chemical processes and equipment • Previous Articles

Analysis of nanoparticle agglomeration characteristics in pulsating fluidized beds based on the modified population balance model

CHEN Juhui¹(), CHEN Ke¹, LI Dan¹, MA Zhikai¹, ZHURAVKOV Michael²^,³, LAPATSIN Siarhel²^,³, JIANG Wenrui³, YANG Tianyi¹

^1.School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, Heilongjiang, China
^2.Heilongjiang Key Laboratory for International Cooperation on Gear Transmission of Maritime and Air Equipment, Harbin 150001, Heilongjiang, China
^3.School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, Heilongjiang, China

Received:2024-10-22 Revised:2024-12-03 Online:2025-12-08 Published:2025-11-25
Contact: CHEN Juhui

基于修正群体平衡模型的脉动流化床纳米颗粒聚团特性分析

陈巨辉¹(), 陈轲¹, 李丹¹, 马郅凯¹, ZHURAVKOV Michael²^,³, LAPATSIN Siarhel²^,³, 姜文锐³, 杨天一¹

^1.哈尔滨理工大学机械动力工程学院，黑龙江哈尔滨 150080
^2.海空装备齿轮传动国际合作黑龙江省重点实验室，黑龙江哈尔滨 150001
^3.哈尔滨工业大学机电工程学院，黑龙江哈尔滨 150001

通讯作者: 陈巨辉
作者简介:陈巨辉（1982—），女，博士，教授，研究方向为气固两相流、流化床洁净燃烧技术。E-mail：chenjuhui@hrbust.edu.cn。
基金资助:
黑龙江省揭榜挂帅项目(2022ZXJ01A01);黑龙江省揭榜挂帅项目(2022ZXJ01A02);黑龙江省科技英才CY计划(CYCX24011)

Abstract

Abstract:

This article, based on the DQMOM method within the Euler-Euler two-fluid framework, coupled a population balance model that considered the characteristics of nanoparticle agglomeration and breakage. It derived formulas for the aggregation nuclei and breakage nuclei suitable for nanoparticle agglomeration and proposed a modified population balance model. The study tracked and described the breakage and agglomeration processes of nanoparticles, conducting a simulation study on the flow characteristics of SiO₂ nanoparticles in a pulsating fluidized bed. By investigating the effects of different pulsation frequencies and air distribution ratios on nanoparticle flow, it was found that as the pulsation frequency increased, the axial velocity and volumetric distribution of agglomerates in the fluidized bed became more uniform, and the wall effects were weakened. Although the overall trend showed a decrease in agglomerate diameter, strong packing led to an increase in diameter at low frequencies, and with the increase of the air distribution ratio, the centroid of the agglomerates in the bed rose.

Key words: population balance model, DQMOM method, polymerization and fragmentation, pulsating fluidized bed

摘要：

在欧拉-欧拉双流体框架下，本文基于DQMOM方法耦合群体平衡模型，考虑纳米颗粒聚团破碎特点，推导适用于纳米颗粒聚团的聚合核与破碎核公式，提出修正群体平衡模型。追踪描述纳米颗粒破碎、聚并过程，对脉动流化床内SiO₂纳米颗粒流动特性进行模拟研究。通过研究不同的脉动频率和配风比例对纳米颗粒流动的影响，发现随着脉动频率的增加，流化床中颗粒聚团轴向速度和体积分布更加均匀，边壁效应减弱。虽然聚团直径总体呈减小趋势，但低频率下因堆积强烈，导致直径增大，且随着配风比例的增加，使得床内聚团的重心上移。

关键词: 群体平衡模型, DQMOM 方法, 聚合与破碎, 脉动流化床

CLC Number:

TK11⁺4

CHEN Juhui, CHEN Ke, LI Dan, MA Zhikai, ZHURAVKOV Michael, LAPATSIN Siarhel, JIANG Wenrui, YANG Tianyi. Analysis of nanoparticle agglomeration characteristics in pulsating fluidized beds based on the modified population balance model[J]. Chemical Industry and Engineering Progress, 2025, 44(11): 6144-6152.

陈巨辉, 陈轲, 李丹, 马郅凯, ZHURAVKOV Michael, LAPATSIN Siarhel, 姜文锐, 杨天一. 基于修正群体平衡模型的脉动流化床纳米颗粒聚团特性分析[J]. 化工进展, 2025, 44(11): 6144-6152.

Figures/Tables 15

References 30

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参数	文献值^[27]	模拟值
流化床高度H/m	1.5	1.5
流化床内径D/m	0.07	0.07
初始堆积高度H₀/m	0.37	0.37
气相密度ρ_g/kg·m^-3	1.225	1.225
气相黏度μ_g/Pa·s	—	1.85×10^-5
颗粒/聚团直径d_s	12nm/（1~100）μm	12nm/14.9µm
固相堆积质量m_s/kg	0.062	0.062
颗粒密度ρ_s/kg·m^-3	2200	2200
颗粒-壁面弹性恢复系数e_w	—	0.9
颗粒-颗粒弹性恢复系数e	—	0.9
颗粒哈梅克常数A^*/J	—	5.9×10^-20
温度T/K	298.15	298.15
表观气速U/m·s^-1	—	0.016

参数	文献值^[27]	模拟值
流化床高度H/m	1.5	1.5
流化床内径D/m	0.07	0.07
初始堆积高度H₀/m	0.37	0.37
气相密度ρ_g/kg·m^-3	1.225	1.225
气相黏度μ_g/Pa·s	—	1.85×10^-5
颗粒/聚团直径d_s	12nm/（1~100）μm	12nm/14.9µm
固相堆积质量m_s/kg	0.062	0.062
颗粒密度ρ_s/kg·m^-3	2200	2200
颗粒-壁面弹性恢复系数e_w	—	0.9
颗粒-颗粒弹性恢复系数e	—	0.9
颗粒哈梅克常数A^*/J	—	5.9×10^-20
温度T/K	298.15	298.15
表观气速U/m·s^-1	—	0.016

Analysis of nanoparticle agglomeration characteristics in pulsating fluidized beds based on the modified population balance model

基于修正群体平衡模型的脉动流化床纳米颗粒聚团特性分析

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