Effect of van der Waals forces on the motion of magnetic field fluidized nanoparticles

doi:10.11949/0438-1157.20240078

Abstract

Abstract:

Based on the traditional magnetization model, the van der Waals force model is added, and the finite volume method (FVM) and discrete element method (DEM) are used for numerical simulation. The gas-solid two-phase flow analysis is performed using the Fluent-EDEM dual platform coupling to study the effect of van der Waals force on the movement of nanoparticles under different magnetic field directions and different magnetic induction intensities. The results indicate that the impact of van der Waals forces between nanoparticles on particle movement in magnetic fluidized beds cannot be overlooked, and there exists a distinct inhibitory relationship between van der Waals forces and magnetization forces at low magnetic flux density. The stratification of nanoparticles becomes more pronounced at a magnetic field angle of 0°, and the stratification effect gradually diminishes with increasing field intensity. The van der Waals force also deflects the direction of particle motion to a certain extent. The introduction of van der Waals force model further broadens the application range of magnetization model and provides data support for studying the motion of nanoparticles in magnetic field.

Key words: nanoparticles, van der Waals force, fluidization, aggregation, magnetic fluidized bed, modified magnetization model

摘要：

纳米颗粒存在较强的颗粒间作用力。在传统磁化模型基础上添加范德华力模型，采用有限体积法（FVM）与离散单元法（DEM）进行数值模拟，运用Fluent-EDEM双平台耦合进行气固两相流分析，研究不同磁场方向与不同磁感应强度下范德华力对纳米颗粒运动的影响。结果表明，纳米颗粒间的范德华力对磁场流化床中颗粒运动的影响不可忽略，其在低磁感应强度下与磁化力之间存在明显牵制关系；磁场角度为0°时纳米颗粒分层现象明显，随场强增大分层效果逐渐缓解；范德华力也会在一定程度上促使颗粒运动方向发生偏转。范德华力模型的引入进一步拓宽了磁化模型的适用范围，为研究纳米颗粒在磁场中的运动提供数据支持。

关键词: 纳米粒子, 范德华力, 流态化, 聚集, 磁场流化床, 修正磁化模型

CLC Number:

O 359

Juhui CHEN, Ran AN, Dan LI, Haoming GAO, Kun ZHANG. Effect of van der Waals forces on the motion of magnetic field fluidized nanoparticles[J]. CIESC Journal, 2024, 75(10): 3518-3527.

陈巨辉, 安然, 李丹, 高浩铭, 张坤. 范德华力对磁场流化纳米颗粒运动的影响[J]. 化工学报, 2024, 75(10): 3518-3527.

Figures/Tables 15

Fig.1 Sketch diagram of particle force

Fig.2 The mesh of model

Table 1 Grid independence test

最小网格尺寸	网格数量/个	总动能/(10^-10 J)
1R	6229	0.0642
2R	4163	0.0471
3R	2248	0.0243
4R	1920	0.0238
5R	863	0.0386
6R	664	0.0497

Table 2 Analog parameter

参数	实验值	模拟值
颗粒直径/ m	1.7×10^-8	1.7×10^-8
颗粒密度/(kg/m³)	850	850
气相密度/(kg/m³)	1.29	1.29
注入颗粒数量	—	800
纳米颗粒磁导率/(H/m)	8.3	8.3
杨氏模量/ GPa	68.95	68.95
泊松比	0.33	0.33
颗粒-颗粒摩擦因数	0.3	0.3
颗粒弹性刚度/(N/m)	800	800
颗粒-壁面摩擦因数	0.3	0.3
墙壁弹性刚度/(N/m)	800	800
阻尼系数	0.05	0.05

Table 3 Simulated working condition

β/(°)	工况
β/(°)	0.01 T	0.0125 T	0.02 T
0	C1	C5	C9
30	C2	C6	C10
60	C3	C7	C11
90	C4	C8	C12

Fig.3 Pressure drop

Fig.4 Change of normalized signal entropy

Fig.5 Particle distribution at 0.01 T

Fig.6 Particle distribution map at 1.0 s

Fig.7 Total kinetic energy of particles without van der Waals force at 0.01 T

Fig.8 Change curve of total kinetic energy after adding van der Waals force

Fig.9 Total kinetic energy change curve

Fig.10 Particle velocity vector diagram at 1 s(0.01 T)

Fig.11 Particle velocity vector diagram at 1 s

Fig.12 Particle angular velocity change curve

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