Volume 44 Issue 3
Mar.  2023
Turn off MathJax
Article Contents
YAN Yu, LOU Qin, CHEN Jiahao. Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis[J]. Applied Mathematics and Mechanics, 2023, 44(3): 304-318. doi: 10.21656/1000-0887.430165
Citation: YAN Yu, LOU Qin, CHEN Jiahao. Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis[J]. Applied Mathematics and Mechanics, 2023, 44(3): 304-318. doi: 10.21656/1000-0887.430165

Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis

doi: 10.21656/1000-0887.430165
  • Received Date: 2022-05-16
  • Rev Recd Date: 2022-08-17
  • Available Online: 2023-03-07
  • Publish Date: 2023-03-15
  • The contact angle hysteresis is defined as the difference between the advancing and receding contact angles, and is an important phenomenon in the two-phase flow on the wet surface. An improved pseudo-potential lattice Boltzmann (LB) multiphase flow model, combined with geometric wetting boundary condition, was employed to study the motion behavior of dual droplets in microchannels with contact angle hysteresis. The effects of the capillary number, the wettability, the contact angle hysteresis window width, the initial distance between the two droplets and the relative size of the droplets on the dynamic behavior of the droplets in the microchannel, were investigated. The research results show that, the increase of the capillary number is conducive to the movement of droplets, but not conducive to the discharge of droplets from the microchannel, and the influence of the capillary number on the upstream droplet is greater than that on the downstream droplet. On the other hand, the larger the contact angle hysteresis window is, the slower the droplet motion and deformation will be, but the more obvious the deformation will be, and the earlier the two droplets will merge but the later they will discharge from the microchannel. In addition, with the increase of the initial distance between the two droplets, the droplet motion mode will differ among different stages, but the duration of the droplet discharge will extend. Correspondingly, the larger the relative size difference between upstream and downstream droplets is, the more difficultly the droplets will discharge from the microchannel.

  • loading
  • [1]
    GUPTA A K, BASU S. Deformation of an oil droplet on a solid substrate in simple shear flow[J]. Chemical Engineering Science, 2008, 63(22): 5496-5502.
    [2]
    LIU Y, FAN J W, LIU L L, et al. Numerical simulation of residual oil flooded by polymer solution in microchannels[J]. Geofluids, 2018, 2018: 8947839.
    [3]
    QIN C Z, RENSINK D, HASSANIZADEH S M, et al. Direct simulation of liquid water dynamics in the gas channel of a polymer electrolyte fuel cell[J]. Journal of the Electrochemical Society, 2012, 159(4): B434-B443.
    [4]
    ISMAIL M S, HUGHES K J, INGHAM D B, et al. Effects of anisotropic permeability and electrical conductivity of gas diffusion layers on the performance of proton exchange membrane fuel cells[J]. Applied Energy, 2012, 95: 50-63.
    [5]
    YANG X G, ZHANG F Y, LUBAWY A L, et al. Visualization of liquid water transport in a PEFC[J]. Journal of Power Sources, 2004, 7(11): A408-A411.
    [6]
    CHO S C, WANG Y, CHEN K S. Droplet dynamics in a polymer electrolyte fuel cell gas flow channel: forces, deformation and detachment Ⅱ: comparisons of analytical solution with numerical and experimental results[J]. Journal of Power Sources, 2012, 210: 191-197.
    [7]
    ZHAN Z G, WANG C, FU W G, et al. Visualization of water transport in a transparent PEMFC[J]. International Journal of Hydrogen Energy, 2012, 37(1): 1094-1105.
    [8]
    SEEVARATNAM G K, DING H, MICHEL O, et al. Laminar flow deformation of a droplet adhering to a wall in a channel[J]. Chemical Engineering Science, 2010, 65(15): 4523-4534.
    [9]
    SCHLEIZER A D, BONNECAZE R T. Displacement of a two-dimensional immiscible droplet adhering to a wall in shear and pressure-driven flows[J]. Journal of Fluid Mechanics, 1999, 383: 29-54.
    [10]
    HAO L, CHENG P. Lattice Boltzmann simulations of liquid droplet dynamic behavior on a hydrophobic surface of a gas flow channel[J]. Journal of Power Sources, 2009, 190: 435-446.
    [11]
    ZHU X, SUI P C, DJILALI N. Three-dimensional numerical simulations of water droplet dynamics in a PEMFC gas channel[J]. Journal of Power Sources, 2012, 181(1): 101-115.
    [12]
    MONDAL B, JIAO K, LI X. Three-dimensional simulation of water droplet movement in PEM fuel cell flow channels with hydrophilic surfaces[J]. International Journal of Energy Research, 2011, 35(13): 1200-1212.
    [13]
    RAMAN K A, BIRGERSSON E, SUI Y, et al. Electrically induced droplet ejection dynamics under shear flow[J]. Physics of Fluids, 2020, 32(3): 032103.
    [14]
    CRISTINI V, TAN Y C. Theory and numerical simulation of droplet dynamics in complex flows: a review[J]. Lab on a Chip, 2004, 4(4): 257-264.
    [15]
    ZHANG K X, LI Z, MAXEY M, et al. Self-cleaning of hydrophobic rough surfaces by coalescence-induced wetting transition[J]. Langmuir, 2019, 35(6): 2431-2442.
    [16]
    HAN B, YU J, MENG H. Lattice Boltzmann simulations of liquid droplets development and interaction in a gas channel of a proton exchange membrane fuel cell[J]. Journal of Power Sources, 2012, 202: 175-183.
    [17]
    李家宇, 曾忠, 乔龙. 相场方法模拟液滴的动态润湿行为[J]. 应用数学和力学, 2019, 40(9): 957-967

    LI Jiayu, ZENG Zhong, QIAO Long. Numerical simulation of droplets’ dynamic wetting process with the phase field method[J]. Applied Mathematics and Mechanics, 2019, 40(9): 957-967.(in Chinese)
    [18]
    ERAL H B, T MANNETJE D, OH J M. Contact angle hysteresis: a review of fundamentals and applications[J]. Colloid and Polymer Science, 2013, 291(2): 247-260.
    [19]
    QIAN B A, BREUER K S. The motion, stability and breakup of a stretching liquid bridge with a receding contact line[J]. Journal of Fluid Mechanics, 2011, 666: 554-572.
    [20]
    DAI Q, HUANG W, WANG X. Contact angle hysteresis effect on the thermocapillary migration of liquid droplets[J]. Journal of Colloid and Interface Science, 2018, 515: 32-38.
    [21]
    YANG J P, MA X, FEI L L, et al. Effects of hysteresis window on contact angle hysteresis behaviour at large Bond number[J]. Journal of Colloid and Interface Science, 2020, 556(3): 327-337.
    [22]
    FANG C, HIDROVO C, WANG F M, et al. 3-D numerical simulation of contact angle hysteresis for microscale two phase flow[J]. International Journal of Multiphase Flow, 2008, 34(7): 690-705.
    [23]
    DUSSAN E B. On the ability of drops to stick to surfaces of solids Ⅲ: the influences of the motion of the surrounding fluid on dislodging drops[J]. Journal of Fluid Mechanics, 1987, 174: 381-397.
    [24]
    柴振华, 郭照立, 施保昌. 利用多松弛格子Boltzmann 方法预测多孔介质的渗透率[J]. 工程热物理学报, 2010, 31(1): 107-109

    CHAI Zhenhua, GUO Zhaoli, SHI Baochang. Prediction of permeability in porous media with multi-relaxation-time lattice Boltzmann method[J]. Journal of Engineering Thermophysics, 2010, 31(1): 107-109.(in Chinese)
    [25]
    谢驰宇, 张建影, 王沫然. 液滴在固体平表面上均匀蒸发过程的格子Boltzmann模拟[J]. 应用数学和力学, 2014, 35(3): 247-253

    XIE Chiyu, ZHANG Jianying, WANG Moran. Lattice Boltzmann simulation of droplet evaporation on flat solid surface[J]. Applied Mathematics and Mechanics, 2014, 35(3): 247-253.(in Chinese)
    [26]
    张贝豪, 郑林. 倾斜多孔介质方腔内纳米流体自然对流的格子Boltzmann方法模拟[J]. 物理学报, 2020, 69(16): 164401 doi: 10.7498/aps.69.20200308

    ZHANG Beihao, ZHENG Lin. Numerical simulation of natural convection of nanofluids in an inclined square porous enclosure by lattice Boltzmann method[J]. Acta Physica Sinica, 2020, 69(16): 164401.(in Chinese) doi: 10.7498/aps.69.20200308
    [27]
    BA Y, LIU H H, SUN J J, et al. Color-gradient lattice Boltzmann model for simulating droplet motion with contact-angle hysteresis[J]. Physical Review E, 2013, 88: 043306.
    [28]
    许友生, 刘慈群, 俞慧丹. 多孔介质中两相驱离的格子Boltzmann模型新研究[J]. 应用数学和力学, 2002, 23(4): 353-358

    XU Yousheng, LIU Ciqun, YU Huidan. New studying of lattice Boltzmann method for two phase driven in porous media[J]. Applied Mathematics and Mechanics, 2002, 23(4): 353-358.(in Chinese)
    [29]
    SWIFT M R, ORLANDINI E, OSBORN W R, et al. Lattice Boltzmann simulations of liquid-gas and binary fluid systems[J]. Physical Review E, 1996, 54(5): 5041-5052.
    [30]
    LI Q X, CHAI Z H, SHI B C, et al. Deformation and breakup of a liquid droplet past a solid circular cylinder: a lattice Boltzmann study[J]. Physical Review E, 2014, 90: 043015.
    [31]
    梁佳, 高明, 陈露, 等. 基于格子Boltzmann方法的液滴撞击具有不同润湿性孔板的研究[J]. 应用数学和力学, 2022, 43(1): 63-76

    LIANG Jia, GAO Ming, CHEN Lu, et al. Study on droplets impacting on orifice plates with different wettabilities based on the lattice Boltzmann method[J]. Applied Mathematics and Mechanics, 2022, 43(1): 63-76.(in Chinese)
    [32]
    EBADI A, HOSSEINALIPOUR S M. The collision of immiscible droplets in three-phase liquid systems: a numerical study using phase-field lattice Boltzmann method[J]. Chemical Engineering Research and Design, 2022, 178: 289-314.
    [33]
    YUE P T. Thermodynamically consistent phase-field modelling of contact angle hysteresis[J]. Journal of Fluid Mechanics, 2020, 899: A15.
    [34]
    PORTER M L, COON E T, KANG Q J, et al. Multicomponent interparticle potential lattice Boltzmann model for fluids with large viscosity ratios[J]. Physical Review E, 2012, 86(3): 036701.
    [35]
    SHAN X W. Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models[J]. Physical Review E, 2006, 73(4): 047701.
    [36]
    KANG Q, ZHANG D, CHEN S. Displacement of a two-dimensional immiscible droplet in a channel[J]. Physics of Fluids, 2002, 14(9): 3203-3214.
    [37]
    DING H, SPELT P D M. Wetting condition in diffuse interface simulations of contact line motion[J]. Physical Review E, 2007, 75(4): 046708.
    [38]
    LIU H H, JU Y P, WANG N N, et al. Lattice Boltzmann modeling of contact angle and its hysteresis in two-phase flow with large viscosity difference[J]. Physical Review E, 2015, 92(3): 033306.
    [39]
    LADD A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation part 1: theoretical foundation[J]. Journal of Fluid Mechanics, 1994, 271: 285-309.
    [40]
    WANG C, SHEN C Q, WU S C, et al. Hydrodynamic binary coalescence of droplets under air flow in a hydrophobic microchannel[J]. Chinese Physics B, 2019, 28(2): 024702.
    [41]
    ZHANG F Y, YANG X G, WANG C Y. Liquid water removal from a polymer electrolyte fuel cell[J]. Journal of the Electrochemical Society, 2005, 153(2): A225.
    [42]
    WU J, HUANG J J. Dynamic behaviors of liquid droplets on a gas diffusion layer surface: hybrid lattice Boltzmann investigation[J]. Journal of Applied Physics, 2015, 118(4): 044902.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(15)  / Tables(1)

    Article Metrics

    Article views (370) PDF downloads(54) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return