The mesoscopic multi-velocity component lattice Boltzmann fluid-structure interaction model, combined with the large eddy simulation (LES) method, was proposed in order to investigate the in-flow shock and flow-induced vibration characteristics during static mixing. The aim is to explore the static mixing process, including characteristics such as strong shear, backflow recoil, wall impact, and other factors. Taking static mixer as the research object, the model of static mixing process was established, and the weak coupling solution strategy of flow field and structure field was proposed. The proposed method was used to study the effects of different displacement deformations, different inlet velocities and different static mixer blade angles on the vibration response of the tube wall. Results show that blade action can convert the axial velocity of the fluid into tangential and radial velocity. When the inlet velocity is relatively large, the internal flow field has obvious influence on the vibration frequency and amplitude of the static mixer. Changing the mixer blade angle will affect the shear drainage effect of the flow field, and has significant effects on the longitudinal and axial displacement, mainly in the low frequency band.
Ya-xing YIN,Tong WANG,Cheng-yan WANG,Yan-kang ZHANG,Shi-cheng XU,Da-peng TAN. Mixing process modeling and flow-induced vibration characteristics based on lattice Boltzmann method. Journal of ZheJiang University (Engineering Science), 2023, 57(11): 2217-2226.
Fig.2Flowchart of fluid-structure interaction calculation for LBM
Fig.3Diagram of static mixed space structure
名称
参数
数值
静态混合器
L0/mm
550
R/mm
70
h/mm
5
d/mm
10
ρ /（kg·m?3）
7 850
E/GPa
210
μ
0.3
流体参数
ρw /（kg·m?3）
998
μw /（Pa·s）
0.001
Tab.1Physics parameters of static mixer and fluid
Fig.4Hydrodynamic model of fluid structure coupling
网格编号
M
N
Ar/(10?7 m)
1
500 000
102 673
1.18
2
750 000
154 432
1.09
3
1 254 000
174 300
1.04
4
1 788 900
193 246
1.05
5
2 453 800
246 321
1.04
Tab.2Grid independence verification
Fig.5Comparison of wall displacement curve of static mixer
Fig.6Schematic diagram of circumferential monitoring points and deformation of static mixer under internal fluid excitation
Fig.7RMS amplitude of static mixer along x axial direction
Fig.8Displacement response of each monitoring point in circumferential direction
Fig.9Flow field velocity distribution nephogram of different inlet velocity
Fig.10Vibration response curves of static mixer wall under fluid excitation at different flow rates
Fig.11Velocity distribution diagram of mixed elements with different angles
Fig.12Effect of different blades on wall displacement response of mixer
Fig.13Effect of different blades on wall amplitude-frequency response of mixer
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