液滴撞击不同湿润性固壁面上静止液滴的格子Boltzmann研究

doi:10.19596/j.cnki.1001-246x.8265

摘要/Abstract

摘要：

采用单组分多相的伪势格子Boltzmann方法，在大小液滴粒径比为1.5的情况下，对大液滴竖直撞击壁面上静止小液滴的过程进行模拟，研究亲水与超疏水壁面上大液滴竖直碰撞小液滴的过程，得到液滴铺展因子和相对高度随时间的变化。结果表明：增大We数会使液滴的铺展因子增大，铺展直径变大，相对高度减小；并且随着We数的增加，在超疏水表面，液滴在铺展过程中底部会出现空腔，空腔大小随着We数增大而增加；此外，We数增加到107.35时，液滴发生了断裂。

关键词: 格子Boltzmann方法, 液滴碰撞, 超疏水表面, 亲水表面, 铺展因子

Abstract:

A single-component multi-phase pseudo-potential lattice Boltzmann method is used to simulate the process of a large droplet vertically hitting a stationary small droplet on a wall with different wettability. The size ratio of the droplets is 1.5. Hydrophilic and superhydrophobic wall surfaces are studied. The droplet spreading factor and relative height are obtained. It shows that as We number increases the spreading factor of the droplet increases, the spreading diameter increases and the relative height reduces. And as We number increases, on a superhydrophobic surface, a cavity appears at the bottom of the spreading process and size of the cavity increases. In addition, as We number increases to 107.35 the droplet breaks.

Key words: lattice Boltzmann method, droplet collision, superhydrophobic surface, hydrophilic surface, spreading factor

中图分类号:

O359

梁佳, 高明, 陈露, 王东民, 章立新. 液滴撞击不同湿润性固壁面上静止液滴的格子Boltzmann研究[J]. 计算物理, 2021, 38(3): 313-323.

Jia LIANG, Ming GAO, Lu CHEN, Dongmin WANG, Lixin ZHANG. Lattice Boltzmann Study of a Droplet Impinging on a Stationary Droplet on a Fixed Wall Surface with Different Wettability[J]. Chinese Journal of Computational Physics, 2021, 38(3): 313-323.

图/表 13

图1 Laplace定律的验证

Fig.1 Verification of Laplace law

图2 接触角的验证

Fig.2 Verification of the contact angle

图3 单液滴铺展因子随无量纲时间的变化

Fig.3 Variation of single droplet spreading factor with dimensionless time

图4 模拟所得ξ与文[32]关联式的比较

Fig.4 Comparison of simulated spread factor with correlation equation in Ref.[32]

图5 模拟得到ξmax与文[33]理论的比较

Fig.5 Comparison of simulated ξmax with theoretical result in Ref.[33]

图6 液滴碰撞壁面示意图

Fig.6 Schematic of droplet collision on wall

图7 超疏水壁面大液滴撞击小液滴的动态过程

Fig.7 Dynamic process of a large droplet impacting on a small droplet on a super-hydrophobic wall surface

图8 亲水壁面大液滴撞击小液滴的动态过程

Fig.8 Dynamic process of a large droplet impacting on a small droplet on a hydrophilic wall surface

图9 铺展因子随无量纲时间的变化

Fig.9 Expansion factor changes with dimensionless time

图10 最大铺展因子随We数的变化

Fig.10 Maximum spreading factor varies with We

图11 初始阶段铺展因子随无量纲时间的变化

Fig.11 Expansion factor of initial stage varies with dimensionless time

图12 相对高度随无量纲时间的变化

Fig.12 Relative height changes with dimensionless time

图13 液滴破裂前后速度场

Fig.13 Velocity field before and after droplet rupture

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