考虑气泡表面变形影响的靠近-减薄过程耦合模型

doi:10.11949/0438-1157.20241096

摘要/Abstract

摘要：

气泡碰撞现象在多相分散过程中通常起着关键作用，影响着气泡尺寸分布和流场结构。气泡碰撞过程包括气泡相互靠近和液膜排液减薄两个子过程。然而，现有模型在预测气泡碰撞，特别是反弹现象时存在不足，主要源于对液膜区域以外表面变形的忽略。而碰撞引起的表面变形可能会促使一部分系统动能转化为表面能，在一定程度上加快系统动能的消耗。通过将表面变形导致的表面恢复性作用力引入气泡相互靠近的力平衡方程中，发展了一个耦合靠近-减薄过程的改进模型。结果表明，相较于传统模型，改进模型能更合理地预测气泡碰撞的结果。

关键词: 气泡, 碰撞, 表面变形, 聚并, 反弹, 模拟

Abstract:

The bubble collision phenomenon plays a crucial role in multiphase dispersion process, affecting the bubble size distribution and flow field structure. The bubble collision process includes two sub-processes of bubble approaching each other and liquid film drainage thinning. However, the existing models have limitations in predicting bubble collision, especially the rebound phenomenon, mainly due to the neglect of surface deformation outside the liquid film region. The surface deformation caused by collision may cause part of the system kinetic energy to be converted into surface energy, which accelerates the consumption of system kinetic energy to a certain extent. By introducing the restoring force caused by surface deformation into the force equilibrium equation for bubble approaching process, an improved model coupling the approaching-thinning process is developed. The results show that in comparison with the traditional model, the improved model has higher accuracy in predicting bubble collision. As the bubble collision speed increases, the restoring force on the bubble surface due to surface deformation is greater, the deformation may be more obvious.

Key words: bubble, collision, surface deformation, coalescence, rebound, simulation

中图分类号:

TQ 021.1

刘润健, 林刚, 张玲, 徐栋, 李明, 韩路长. 考虑气泡表面变形影响的靠近-减薄过程耦合模型[J]. 化工学报, 2025, 76(4): 1504-1512.

Runjian LIU, Gang LIN, Ling ZHANG, Dong XU, Ming LI, Luchang HAN. A coupling model of the approaching-thinning process with the effect of bubble surface deformation[J]. CIESC Journal, 2025, 76(4): 1504-1512.

图/表 4

图1 气泡碰撞受力分析(a)和靠近-减薄过程(b)

Fig.1 Schematic diagram of bubbles collision force analysis (a) and approaching-thinning process (b)

表1 模型预测结果与Duineveld［25］实验结果的对比

Table 1 Comparison of the prediction results of the model with the experimental results of Duineveld［25］

Case	R_eq/mm	Init sep.	U_rel_,₀/(m/s)	Coalescence
				Exp.	Sim.(F_add=0)	Sim.(F_add≠0)
				Exp.	Sim.(F_add=0)	50 nm	式(18)	式(19)
1	0.63	8.3R₁	0.13	yes	yes	yes	yes	yes
2	0.71	7R₁	0.13	yes	yes	yes	no	yes
3	0.71	8 R₁~10.6R₁	0.15	no	yes	no	no	no
4	0.78	5.7R₁	0.13	yes	yes	no	no	no
5	0.78	7.7R₁	0.14	no	yes	no	no	no
6	0.85	4.6R₁	0.11	yes	yes	yes	yes	yes
7	0.85	6.1R₁	0.13	no	yes	no	no	no
8	0.91	4.0R₁	0.08	yes	yes	yes	yes	yes
9	0.91	5.0R₁	0.13	no	yes	no	no	no
10	0.97	4.4R₁	0.12	no	yes	no	no	no

图2 气泡聚并案例的模拟结果

Fig.2 Numerical simulation results of bubble coalescence

图3 耦合模型的预测结果

Fig.3 The results predicted by the proposed model

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