A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena

doi:10.1088/1674-1056/26/8/084701

中国物理B ›› 2017, Vol. 26 ›› Issue (8): 84701-084701.doi: 10.1088/1674-1056/26/8/084701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena

Qing-Yu Zhang(张庆宇), Dong-Ke Sun(孙东科), Ming-Fang Zhu(朱鸣芳)

1 Jiangsu Key Laboratory for Advanced Metallic Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, China;
2 School of Mechanical Engineering, Southeast University, Nanjing 211189, China

收稿日期:2017-01-18 修回日期:2017-03-30 出版日期:2017-08-05 发布日期:2017-08-05
通讯作者: Qing-Yu Zhang E-mail:qingyu.zhang1988@foxmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51371051 and 51306037) and the Scientific Research Foundation of Graduate School of Southeast University, China (Grant No. YBJJ1627).

A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena

Qing-Yu Zhang(张庆宇)¹, Dong-Ke Sun(孙东科)², Ming-Fang Zhu(朱鸣芳)¹

1 Jiangsu Key Laboratory for Advanced Metallic Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, China;
2 School of Mechanical Engineering, Southeast University, Nanjing 211189, China

Received:2017-01-18 Revised:2017-03-30 Online:2017-08-05 Published:2017-08-05
Contact: Qing-Yu Zhang E-mail:qingyu.zhang1988@foxmail.com
About author:0.1088/1674-1056/26/8/
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51371051 and 51306037) and the Scientific Research Foundation of Graduate School of Southeast University, China (Grant No. YBJJ1627).

摘要/Abstract

摘要：

A multicomponent multiphase (MCMP) pseudopotential lattice Boltzmann (LB) model with large liquid-gas density ratios is proposed for simulating the wetting phenomena. In the proposed model, two layers of neighboring nodes are adopted to calculate the fluid-fluid cohesion force with higher isotropy order. In addition, the different-time-step method is employed to calculate the processes of particle propagation and collision for the two fluid components with a large pseudo-particle mass contrast. It is found that the spurious current is remarkably reduced by employing the higher isotropy order calculation of the fluid-fluid cohesion force. The maximum spurious current appearing at the phase interfaces is evidently influenced by the magnitudes of fluid-fluid and fluid-solid interaction strengths, but weakly affected by the time step ratio. The density ratio analyses show that the liquid-gas density ratio is dependent on both the fluid-fluid interaction strength and the time step ratio. For the liquid-gas flow simulations without solid phase, the maximum liquid-gas density ratio achieved by the present model is higher than 1000:1. However, the obtainable maximum liquid-gas density ratio in the solid-liquid-gas system is lower. Wetting phenomena of droplets contacting smooth/rough solid surfaces and the dynamic process of liquid movement in a capillary tube are simulated to validate the proposed model in different solid-liquid-gas coexisting systems. It is shown that the simulated intrinsic contact angles of droplets on smooth surfaces are in good agreement with those predicted by the constructed LB formula that is related to Young's equation. The apparent contact angles of droplets on rough surfaces compare reasonably well with the predictions of Cassie's law. For the simulation of liquid movement in a capillary tube, the linear relation between the liquid-gas interface position and simulation time is observed, which is identical to the analytical prediction. The simulation results regarding the wetting phenomena of droplets on smooth/rough surfaces and the dynamic process of liquid movement in the capillary tube demonstrate the quantitative capability of the proposed model.

关键词: multicomponent multiphase lattice Boltzmann model, large density ratio, contact angle, capillary flow

Abstract:

Key words: multicomponent multiphase lattice Boltzmann model, large density ratio, contact angle, capillary flow

中图分类号: (Computational methods in fluid dynamics)

47.11.-j

02.70.-c (Computational techniques; simulations) 47.55.-t (Multiphase and stratified flows) 68.08.-p (Liquid-solid interfaces)

张庆宇, 孙东科, 朱鸣芳. A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena[J]. 中国物理B, 2017, 26(8): 84701-084701.

Qing-Yu Zhang(张庆宇), Dong-Ke Sun(孙东科), Ming-Fang Zhu(朱鸣芳). A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena[J]. Chin. Phys. B, 2017, 26(8): 84701-084701.

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A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena

A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena

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