基于格子Boltzmann方法的液滴在圆柱壁面上运动过程研究

doi:10.11949/0438-1157.20240208

摘要/Abstract

摘要：

采用真实流体状态方程的伪势格子Boltzmann方法大密度比多相流模型，模拟了重力作用下的单液滴在圆柱壁面上的运动过程。计算结果表明，随着圆柱壁面疏水性沿重力方向逐渐增强，液滴运动过程可分为铺展和滑落两个阶段。壁面浸润性分布及其变化率均会影响液滴运动过程，当液滴运动至圆柱下半部分时，其平均速度、最大速度、附着长度和液滴高度等参数随时间变化开始发生分化。此外，当液滴开始及完全运动至圆柱下半部分时，其所受附着力的水平及垂直分量分别达到最大。这些发现为深入理解液滴在圆柱壁面上的运动特性提供了重要的理论支持。

关键词: 格子Boltzmann方法, 伪势模型, 液滴, 圆柱壁面, 浸润性分布, 多相流, 数值模拟, 计算流体力学

Abstract:

The motion process of a single droplet on a cylindrical wall under gravity is simulated by using the pseudo-potential lattice Boltzmann method with a large density ratio multiphase flow model based on the real fluid state equation. The results indicate that as the hydrophobicity of the cylindrical surface progressively increases along the direction of gravity, the motion of droplet can be split into two stages: spreading and sliding. The wall wettability distribution and its change rate will affect the droplet motion process. When the droplet moves to the lower half of the cylinder, its average velocity, maximum velocity, attachment length and droplet height begin to differentiate with time. In addition, the horizontal and vertical components of the adhesion force acting on the droplet reached a maximum when it started and fully moved to the lower half of the cylinder, respectively. These findings provide important theoretical support for a deeper understanding of the droplet motion characteristics on the circular cylinder.

Key words: lattice Boltzmann method, pseudo-potential model, droplet, cylindrical surface, wettability distribution, multiphase flow, numerical simulation, computational fluid dynamics

中图分类号:

O 359

金虎, 杨帆, 戴梦瑶. 基于格子Boltzmann方法的液滴在圆柱壁面上运动过程研究[J]. 化工学报, 2024, 75(8): 2897-2908.

Hu JIN, Fan YANG, Mengyao DAI. The motion process of a droplet on a circular cylinder based on the lattice Boltzmann method[J]. CIESC Journal, 2024, 75(8): 2897-2908.

图/表 18

图1 液滴与圆柱示意图

Fig.1 Model of droplet motion on a circular cylinder

图2 不同时刻液滴形态图

Fig.2 Snapshots of droplet morphology at different moments

图3 θa、θr、θh、La和Hd示意图

Fig.3 Schematic diagram of θa, θr, θh, La and Hd

图4 θa和θr随时间的变化

Fig.4 Evolution of θa and θr with time

图5 La/R和Hd/R随时间的变化

Fig.5 Evolution of La/R and Hd/R with time

图6 θa、θr、θh随时间的变化

Fig.6 Evolution of θa, θr, θh with time

图7 不同时刻圆柱周围流线图

Fig.7 Snapshots of streamlines around circular cylinder at different moments

图8 不同时刻液滴内速度绝对值云图

Fig.8 Contour of velocity magnitude in droplets at different moments

图9 不同时刻液滴内最大、最小速度绝对值位置及液滴高度最大位置示意图

Fig.9 The location of maximum and minimum of velocity magnitude as well as location of maximum height of droplet at different moments

图10 θx、θn、θh、Dx、Dh和Dn示意图

Fig.10 Schematic diagram of θx, θn, θh, Dx, Dhand Dn

图11 液滴内速度绝对值最大位置、液滴内速度绝对值最小位置和液滴高度最大位置随时间的变化

Fig11 Evolution of locations of maximum and minimum of velocity magnitude as well as maximum height of droplet with time

图12 液滴内|u|ave、|u|max、和|u|min随时间变化

Fig.12 Evolution of |u|ave, |u|max, and |u|min in droplet with time

图13 液滴所受圆柱壁面附着力随时间变化

Fig.13 Evolution of adhesion of droplets to cylindrical with time

图14 在r=27，Bo=2.7，e变化的情况下不同时刻的液滴形态图

Fig.14 Evolution of droplet morphology with time under r=27，Bo=2.7， variation of e

图15 ta和ts随e的变化关系

Fig.15 Relationship between ta and ts with e

图16 在r=27，Bo=2.7，e变化情况下La/R和Hd/R随时间变化

Fig.16 Evolution of La/R and Hd/R with time, under r=27，Bo=2.7，variation of e

图17 在r=27，Bo=2.7，e变化的情况下|u|ave和|u|max随时间变化

Fig.17 Evolution of |u|ave and |u|maxwith time, under r=27，Bo=2.7， variation of e

图18 在r=27，Bo=2.7，e变化情况下液滴所受圆柱壁面附着力随时间变化

Fig.18 Evolution of adhesion of droplets to cylindrical with time, under r=27，Bo=2.7， variation of e

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