基于液桥力作用的微米级颗粒斜向撞击平板反弹特性研究

doi:10.11949/0438-1157.20251162

摘要/Abstract

摘要：

颗粒沉积广泛应用于湿法造粒、流化床包衣以及工业除尘中，明确颗粒撞击过程中的黏附机制是准确预测颗粒反弹行为的关键。然而，目前对潮湿环境下微米级颗粒和表面之间碰撞的动力学行为尚未完全明确。本研究通过实验与理论相结合的方法，系统研究了微米级SiO₂颗粒与不锈钢表面在潮湿条件下斜向撞击后的反弹行为；并构建了潮湿环境下微米级颗粒与平板碰撞的动力学模型，得到碰撞过程中颗粒动态变化过程。结果表明当入射角度从0度增加至80度时，法向恢复系数在0.35-0.5范围内波动，而切向恢复系数随入射角增加呈现先减小后增大的变化趋势。通过改进后的EA模型模拟了颗粒的撞击参数，发现随着入射速度增加以及入射角度减小，法向接触位移增大，接触时间缩短；切向位移随相对湿度（RH）的增加而减少，液桥力阻碍相对运动；随着相对湿度的增加，法向和切向接触力增大，碰撞速度减小；通过实验结果对比，发现其能准确预测颗粒的反弹行为，并且与实验结果吻合较好。

关键词: 增湿, 微尺度, 动力学模型, 斜向撞击, 恢复系数

Abstract:

Particle deposition is widely used in wet granulation, fluidized bed coating, and dust removal. Clarifying the adhesion mechanism during particle impact is the key to accurately predicting particle rebound behavior. However, the dynamic behavior of micro-particle impacts with flat surface at different humid conditions are not fully understood. In this study, the rebound behavior of micron-scale SiO₂ particles and stainless-steel surfaces after oblique impact under wet conditions was analyzed by combining experimental and theoretical methods. The dynamic model of the collision between micro-particle and flat surface in a humid environment is developed, and the dynamic change process of particles during the collision process is studied. The results show that the normal restitution coefficient fluctuates in the range of 0.35-0.5 when the incident angle increased from 0° to 80°. The tangential restitution coefficient decreases first and then increases with the increase of the angle of incidence. The impact parameters of particles are simulated using the improved EA model. With the increase of incident velocity and the decrease of incident angle, the normal contact displacement increases and the contact time decrease. Tangential displacement decreases with increasing relative humidity (RH). The liquid bridge force hinders relative motion. With the increase of relative humidity, the normal and tangential contact forces increase, and the velocities decrease. The results show that the improved EA model could accurately predict the rebound behavior of particles, which is in good agreement with the experimental results.

Key words: humidification, microscale, kinetic modeling, oblique impact, restitution coefficient

中图分类号:

TQ 534.9

李雪, 郑爽, 李楠, 张睿敏, 肖永康, 付嘉宝. 基于液桥力作用的微米级颗粒斜向撞击平板反弹特性研究[J]. 化工学报, DOI: 10.11949/0438-1157.20251162.

Xue LI, Shuang ZHENG, Nan LI, Ruimin ZHANG, Yongkang XIAO, Jiabao FU. Rebound characteristics of micros-particle oblique impact with planar surfaces based on liquid bridge force[J]. CIESC Journal, DOI: 10.11949/0438-1157.20251162.

图/表 12

图1 颗粒与平板表面斜向碰撞实验系统

Fig. 1 Schematic of the oblique impact experimental system

图2 斜颗粒板碰撞动力学示意图注:Fig. 2 Schematic diagram of oblique collision dynamics

图3 潮湿环境下不同入射速度下的恢复系数随入射角变化

Fig. 3 Variation of restitution coefficient versus incident angle at different incident velocities under humid conditions

图4 切向恢复系数随(1 + en )/tanθi 变化

Fig. 4 Variation of tangential restitution coefficient versus (1+en)/tanθi

图5 1-en ²随法向入射速度变化

Fig. 5 Variation of 1-en2 versus normal velocity component

图6 不同法向入射速度下法向接触位移随碰撞时间变化

Fig. 6 Variation of normal contact displacement versus impact time at different normal incident velocities

图7 不同法向入射速度下法向接触力和法向碰撞速度随法向接触位移变化

Fig. 7 Variation of normal contact force and normal impact velocity versus normal contact displacement at different normal incident velocities

图8 不同切向入射速度下的切向接触位移随接触时间变化

Fig. 8 Variation of tangential displacement versus impact time at different tangential incident velocities

图9 不同切向入射速度下的切向接触力和切向碰撞速度随切向接触位移变化

Fig. 9 Variation of tangential contact force and tangential impact velocity versus tangential displacement at different tangential incident velocities

图10 不同切向入射速度下的切向反弹速度随入射角变化

Fig. 10 Variation of tangential velocity component versus incident angle at different tangential incident velocities

图11 不同速度下的颗粒切向力和切向速度随切向接触位移的变化

Fig. 11 Variation of particle tangential force and tangential velocity versus tangential displacement at different velocities

图12 颗粒角速度随碰撞时间变化

Fig. 12 Variation of particle angular velocity versus impact time

参考文献 35

[1]	谢恒来, 吴曼, 赵军, 等. 导向管喷动流化床中废弃印刷线路板的非金属颗粒包覆改性[J]. 化工学报, 2015, 66(3): 1185-1193.
	Xie H L, Wu M, Zhao J, et al. Coating modification of non-metal particles of waste printed circuit boards in spout-fluid bed with draft tube[J]. CIESC Journal, 2015, 66(3): 1185-1193.
[2]	Wang C, Liu D Y, Ma J L, et al. Characterization of coating shells in a Wurster fluidized bed under different drying conditions and solution viscosities[J]. Powder Technology, 2022, 411: 117914.
[3]	刘道银, 范志恒, 马吉亮, 等. 湿颗粒倾斜碰撞恢复系数的直接数值模拟[J]. 化工学报, 2023, 74(10): 4063-4073.
	Liu D Y, Fan Z H, Ma J L, et al. Direct numerical simulation of restitution coefficient during oblique collision of wet particles[J]. CIESC Journal, 2023, 74(10): 4063-4073.
[4]	Kuwabara G, Kono K. Restitution coefficient in a collision between two spheres[J]. Japanese journal of applied physics, 1987, 26(8R): 1230.
[5]	Li X, Dunn P F, Brach R M. Experimental and numerical studies of microsphere oblique impact with planar surfaces[J]. Journal of Aerosol Science, 2000, 31(5): 583-594.
[6]	Kharaz A H, Gorham D A, Salman A D. An experimental study of the elastic rebound of spheres[J]. Powder Technology, 2001, 120(3): 281-291.
[7]	Zarate N V, Harrison A J, Litster J D, et al. Effect of relative humidity on onset of capillary forces for rough surfaces[J]. Journal of Colloid and Interface Science, 2013, 411: 265-272.
[8]	Xie J, Zhu Z R, Yang T H, et al. The effect of incident angle on the rebound behavior of micro-particle impacts[J]. Journal of Aerosol Science, 2021, 155: 105778.
[9]	Hu S, Yin Q, Zhang Y, et al. Experimental study on the rebound characteristics of oblique collision of ash particles and the influence of ammonium bisulfate[J]. Aerosol Science and Technology, 2022, 56(11): 1058-1069.
[10]	Barnocky G, Davis R H. Elastohydrodynamic collision and rebound of spheres: Experimental verification[J]. The Physics of Fluids, 1988, 31(6): 1324-1329.
[11]	Davis R H, Rager D A, Good B T. Elastohydrodynamic rebound of spheres from coated surfaces[J]. Journal of Fluid Mechanics, 2002, 468: 107-119.
[12]	Crüger B, Salikov V, Heinrich S, et al. Coefficient of restitution for particles impacting on wet surfaces: an improved experimental approach[J]. Particuology, 2016, 25: 1-9.
[13]	Gollwitzer F, Rehberg I, Kruelle C A, et al. Coefficient of restitution for wet particles[J]. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 2012, 86(1 Pt 1): 011303.
[14]	Müller T, Huang K. Influence of the liquid film thickness on the coefficient of restitution for wet particles[J]. Physical Review E, 2016, 93: 042904.
[15]	Lin Z, Chi S Z, Ye J H, et al. Effect of liquid layer on the motion of particle during oblique wet collision[J]. Advanced Powder Technology, 2021, 32(9): 3259-3267.
[16]	Li X, Dong M, Li S F, et al. Experimental and theoretical studies of the relationship between dry and humid normal restitution coefficients[J]. Journal of Aerosol Science, 2019, 129: 16-27.
[17]	Ma J L, Liu D Y, Chen X P. Experimental study of oblique impact between dry spheres and liquid layers[J]. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 2013, 88(3): 033018.
[18]	Hertz H. Miscellaneous Papers[M]. Macmillan, 1896.
[19]	Johnson K L, Kendall K, Roberts A D. Surface energy and the contact of elastic solids[J]. Proceedings of the Ryal Sciety of London. A. Mathematical and Physical Sciences, 1971, 324: 301-313.
[20]	Derjaguin B V, Muller V M, Toporov Y P. Effect of contact deformations on the adhesion of particles[J]. Journal of Colloid and Interface Science, 1975, 53(2): 314-326.
[21]	Brach R M, Dunn P F. Macrodynamics of microparticles[J]. Aerosol Science and Technology, 1995, 23(1): 51-71.
[22]	Cheng W, Brach R M, Dunn P F. Three-dimensional modeling of microsphere contact/impact with smooth flat surfaces[J]. Aerosol Science and Technology, 2002, 36(11): 1045-1060.
[23]	Liu G Q, Li S Q, Yao Q. A JKR-based dynamic model for the impact of micro-particle with a flat surface[J]. Powder Technology, 2011, 207(1/2/3): 215-223.
[24]	Xie J, Dong M, Li S F, et al. Dynamic characteristics for the normal impact process of micro-particles with a flat surface[J]. Aerosol Science and Technology, 2018, 52(2): 222-233.
[25]	Dong M, Han J, Li S F, et al. A dynamic model for the normal impact of fly ash particle with a planar surface[J]. Energies, 2013, 6(8): 4288-4307.
[26]	Dong M, Li X, Mei Y K, et al. Experimental and theoretical analyses on the effect of physical properties and humidity of fly ash impacting on a flat surface[J]. Journal of Aerosol Science, 2018, 117: 85-99.
[27]	李雪, 东明, 张璜, 等. 潮湿环境下微尺度颗粒撞击平板的动力学研究[J]. 化工学报, 2022, 73(5): 1940-1946.
	Li X, Dong M, Zhang H, et al. Kinetic characteristics of micro-particle impact on a flat surface under humidity conditions[J]. CIESC Journal, 2022, 73(5): 1940-1946.
[28]	Kim O V, Dunn P F. A microsphere-surface impact model for implementation in computational fluid dynamics[J]. Journal of Aerosol Science, 2007, 38(5): 532-549.
[29]	邵宏勋, 谢俊, 桂玉双, 等. 基于微米级颗粒临界沉积/剥离标准的研究进展[J]. 化工进展, 2023, 42(12): 6141-6156.
	Shao H X, Xie J, Gui Y S, et al. Research progress of critical deposition/stripping standards based on micron-sized particles[J]. Chemical Industry and Engineering Progress, 2023, 42(12): 6141-6156.
[30]	Rabinovich Y, Adler J, Ata A, et al. Adhesion between nanoscale rough surfaces[J]. Journal of Colloid and Interface Science, 2000, 232(1): 17-24.
[31]	Goldman A J, Cox R G, Brenner H. Slow viscous motion of a sphere parallel to a plane wall: otion through a quiescent fluid[J]. Chemical Egineering Sience, 1967, 22(4): 637-651.
[32]	Kasper J H, Magnanimo V, de Jong S D M, et al. Effect of viscosity on the avalanche dynamics and flow transition of wet granular matter[J]. Particuology, 2021, 59: 64-75.
[33]	Maw N, Barber J R, Fawcett J N. The oblique impact of elastic spheres[J]. Wear, 1976, 38(1): 101-114.
[34]	Maw N, Barber J R, Fawcett J N. The role of elastic tangential compliance in oblique impact[J]. Journal of Lubrication Technology, 1981, 103(1): 74-80.
[35]	谢俊. 微尺度颗粒撞击平板表面的动力学特性研究[D]. 大连:大连理工大学, 2017.
	Xie J. Studies of dynamic characteristics for micro-particle impact on a flat surface[D]. Dalian: Dalian University of Technology, 2017.