Direct numerical simulation of restitution coefficient during oblique collision of wet particles

doi:10.11949/0438-1157.20230870

Abstract

Abstract:

By coupling VOF (volume of fluid) and the overset meshing method, direct numerical simulation of “particle-particle” oblique collisions with surface-attached droplets is carried out, and the evolution law of the liquid bridge, particle motion, and collision restitution coefficient are obtained during the collision process. Under different collision angles, the effect of liquid on the collision restitution coefficient is the most significant for the normal collision. With the increase in liquid viscosity, the normal and total restitution coefficients decrease, while the tangential restitution coefficient slightly increases. With the increase in collision velocity, the normal and total restitution coefficients increase, while the tangential restitution coefficient decreases. Under the oblique collision, the rotation of particles promotes particle separation, and the liquid bridge can generate shear action, converting part of the tangential kinetic energy into normal kinetic energy. This present study can provide basic data for developing a simplified model of wet particle collisions.

Key words: fluidized-bed, wet particle collision, liquid bridge, collision restitution coefficient, numerical simulation

摘要：

通过耦合VOF（volume of fluid）和重叠网格的方法，对表面附着液滴的“颗粒-颗粒”倾斜碰撞进行了直接数值模拟，获得了碰撞过程中液桥演变、颗粒运动、碰撞恢复系数的变化规律。在不同碰撞角度条件下，法向碰撞是液体对碰撞恢复系数影响最显著的情况。随着液体黏度的增加，法向恢复系数和总恢复系数降低，而切向恢复系数略微增加。随着碰撞速度的增加，法向恢复系数和总恢复系数增加，而切向恢复系数降低。在倾斜碰撞中，颗粒的旋转对于颗粒分离具有促进作用，液桥可对颗粒产生剪切作用使得部分切向动能转化为法向动能。研究结果可以为发展湿颗粒碰撞简化模型提供基础数据。

关键词: 流化床, 湿颗粒碰撞, 液桥, 碰撞恢复系数, 数值模拟

CLC Number:

TQ 021

Daoyin LIU, Zhiheng FAN, Jiliang MA, Xiaoping CHEN. Direct numerical simulation of restitution coefficient during oblique collision of wet particles[J]. CIESC Journal, 2023, 74(10): 4063-4073.

刘道银, 范志恒, 马吉亮, 陈晓平. 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.

Figures/Tables 11

Table 1 Simulation parameters of collision of the particle-plate liquid film case

参数	数值
气体密度/(kg/m³）	1.225
气体黏度/(Pa·s）	1.789×10^-5
液体密度/(kg/m³）	827
液体黏度/(Pa·s）	0.185
液膜厚度/mm	2
表面张力系数/(N/m）	0.029
背景区域/mm	6×6×10
前景区域/mm	2.6
接触角（下落）/(°）	150
接触角（返回）/(°）	30
干颗粒碰撞恢复系数	0.853
Courant数	0.12

Fig.1 Comparison of simulation and experiments on the oblique collision between a particle and a plate liquid film

Fig.2 Schematic diagram of particle-particle oblique collision with one droplet attached at the particle surface

Fig.3 Dynamics of particle and liquid bridge during oblique collision at the bench condition (particle diameter 2 mm, droplet diameter 0.4 mm, liquid viscosity 500 mPa·s, collision velocity 1.5 m/s, and collision angle 60°)

Fig.4 Variation of particle separation distance with time during oblique collisions

Fig.5 Variation of particle normal relative velocity and tangential relative velocity with time at different collision angles (liquid viscosity 500 mPa·s and collision velocity 1.5 m/s)

Fig.6 Effects of the collision angle on the total restitution coefficient (liquid viscosity 500 mPa·s and collision velocity 1.5 m/s)

Fig.7 Effects of liquid viscosity on the rupture behavior of liquid bridge during the oblique collision (collision velocity 1.5 m/s and collision angle 60°)

Fig.8 Variation of particle normal relative velocity, tangential relative velocity, and rotational angular velocity with time in oblique collisions with different liquid viscosities and effect of liquid viscosity on the coefficient of restitution (collision velocity 1.5 m/s and collision angle 60°)

Fig.9 Effect of collision velocity on the rupture behavior of liquid bridge during the oblique collision (liquid viscosity 500 mPa·s and collision angle 60°)

Fig.10 Variation of particle normal relative velocity, tangential relative velocity, and rotational angular velocity with time in oblique collisions with different collision velocities and effect of collision velocity on the coefficient of restitution (liquid viscosity 500 mPa·s and collision angle 60°)

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