Volume 43 Issue 1
Jan.  2022
Turn off MathJax
Article Contents
LIANG Jia, GAO Ming, CHEN Lu, WANG Dongmin, WANG Zhiyun, ZHANG Lixin. 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. doi: 10.21656/1000-0887.420076
Citation: LIANG Jia, GAO Ming, CHEN Lu, WANG Dongmin, WANG Zhiyun, ZHANG Lixin. 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. doi: 10.21656/1000-0887.420076

Study on Droplets Impacting on Orifice Plates With Different Wettabilities Based on the Lattice Boltzmann Method

doi: 10.21656/1000-0887.420076
  • Received Date: 2021-03-22
  • Accepted Date: 2021-11-30
  • Rev Recd Date: 2021-05-07
  • Available Online: 2021-12-06
  • Publish Date: 2022-01-01
  • Based on the lattice Boltzmann method, the numerical simulation of droplet impacting on orifice plates with different wettabilities was carried out. The effects of the Weber number (We), the wettability of the orifice surface and the orifice size on different states of droplets passing through orifice plates during impacts were studied. The numerical simulation results show that, different phenomena will occur in the processes of droplets impacting on the orifice plates. If the orifice plate is hydrophilic, the droplet will not detach from the orifice plate surface, but adhere to the lower surface of the orifice plate for a relatively low We number, and then the droplet will rise for a certain distance in the orifice channel under the action of capillarity, forming the liquid plugging phenomenon. For relatively high We numbers, droplets will pass through the orifice plates and rupture will occur. If the orifice plate is hydrophobic, the droplet will not pass through the orifice plate and migrate to the lower surface for a relatively low We number, and will finally stabilize in the orifice channel. For higher We numbers, droplets will pass through the orifice plates, and then break up, leaving droplet remains on the surfaces of the orifice plates. For various orifice sizes, the droplet will be more difficult to pass through the plate for a smaller orifice size or a lager orifice plate thickness.

  • loading
  • [1]
    CHANDRA S, MOSTAGHIMI J. Spray impingement fundamentals[M]//Metal Sprays and Spray Deposition. HENEIN H, UHLENWINKEL V, FRITSCHING U, eds. Springer, 2017.
    BURGUÉS-CEBALLOS I, STELLA M, LACHARMOISE P, et al. Towards industrialization of polymer solar cells: material processing for upscaling[J]. Journal of Materials Chemistry A, 2014, 2(42): 17711-17722. doi: 10.1039/C4TA03780D
    SON Y, KIM C, YANG D H, et al. Spreading of an inkjet droplet on a solid surface with a controlled contact angle at low Weber and Reynolds numbers[J]. Langmuir, 2008, 24(6): 2900-2907. doi: 10.1021/la702504v
    WORTHINGTON A. On the forms assumed by drops of liquids falling vertically on a horizontal plate[J]. Proceedings of the Royal Society of London, 1876, 25: 261-272.
    WORTHINGTON A. A second paper on the forms assumed by drops of liquids falling vertically on a horizontal plate[J]. Proceedings of the Royal Society of London, 1876, 25: 498-503.
    RIOBOO R, TROPEA C, MARENGO M. Outcomes from a drop impact on solid surfaces[J]. Atomization and Sprays, 2001, 11(2): 155-165.
    WANG F C, FENG J T, ZHAO Y P. The head-on colliding process of binary liquid droplets at low velocity: high-speed photography experiments and modeling[J]. Journal of Colloid and Interface Science, 2008, 326(1): 196-200. doi: 10.1016/j.jcis.2008.07.002
    毕菲菲, 郭亚丽, 沈胜强, 等. 液滴撞击固体表面铺展特性的实验研究[J]. 物理学报, 2012, 61(18): 295-300. (BI Feifei, GUO Yali, SHEN Shengqiang, et al. Experimental study of spread characteristics of droplet impacting solid surface[J]. Acta Physica Sinica, 2012, 61(18): 295-300.(in Chinese)
    LORENCEAU É, QUÉRÉ D. Drops impacting a sieve[J]. Journal of Colloid and Interface Science, 2003, 263(1): 244-249.
    RICHARD D, QUÉRÉ D. Bouncing water drops[J]. Europhysics Letters, 2000, 50(6): 769-775. doi: 10.1209/epl/i2000-00547-6
    PAN K L, CHOU P C, TSENG Y J. Binary droplet collision at high Weber number[J]. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2009, 80(3): 036301.
    SHEN Y, TAO J, WANG G, et al. Bioinspired fabrication of hierarchical-structured superhydrophobic surfaces to understand droplet bouncing dynamics for enhancing water repellency[J]. The Journal of Physical Chemistry C: Nanomaterials & Interfaces, 2018, 122(13): 7312-7320.
    BUSSMANN M, MOSTAGHIMI J, CHANDRA S. On a three-dimensional volume tracking model of droplet impact[J]. Physics of Fluids, 1999, 11(6): 1406-1417. doi: 10.1063/1.870005
    PASANDIDEH-FARD M, QIAO Y M, CHANDRA S, et al. Capillary effects during droplet impact on a solid surface[J]. Physics of Fluids, 1996, 8(3): 650-659. doi: 10.1063/1.868850
    RUSSO A, ICARDI M, ELSHARKAWY M, et al. Numerical simulation of droplet impact on wettability-patterned surfaces[J]. Physical Review Fluids, 2020, 5(7): 074002. doi: 10.1103/PhysRevFluids.5.074002
    何雅玲, 李庆, 王勇, 等. 格子Boltzmann方法的工程热物理应用[J]. 科学通报, 2009, 54(18): 2638-2656. (HE Yaling, LI Qing, WANG Yong, et al. Lattice Boltzmann method and its applications in engineering thermophysics[J]. Chinese Science Bulletin, 2009, 54(18): 2638-2656.(in Chinese) doi: 10.1360/csb2009-54-18-2638
    郭照立, 郑楚光, 李青, 等. 流体动力学的格子Boltzmann方法[M]. 武汉: 湖北科学技术出版社, 2002.

    GUO Zhaoli, ZHENG Chuguang, LI Qing, et al. Lattice Boltzmann Method for Hydrodynamics[M]. Wuhan: Hubei Science & Technology Press, 2002. (in Chinese)
    WANG D, TAN D S, KHOO B C, et al. A lattice Boltzmann modeling of viscoelastic drops’ deformation and breakup in simple shear flows[J]. Physics of Fluids, 2020, 32(12): 123101. doi: 10.1063/5.0031352
    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) doi: 10.3879/j.issn.1000-0887.2014.03.002
    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) doi: 10.3321/j.issn:1000-0887.2002.04.004
    GUNSTENSEN A K, ROTHMAN D H, ZALESKI S, et al. Lattice Boltzmann model of immiscible fluids[J]. Physical Review A, 1991, 43(8): 4320-4327. doi: 10.1103/PhysRevA.43.4320
    SHAN X, CHEN H. Lattice Boltzmann model for simulating flows with multiple phases and components[J]. Physical Review E, 1993, 47(3): 1815-1819. doi: 10.1103/PhysRevE.47.1815
    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. doi: 10.1103/PhysRevE.54.5041
    HE X, CHEN S, ZHANG R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability[J]. Journal of Computational Physics, 1999, 152(2): 642-663. doi: 10.1006/jcph.1999.6257
    HE X, SHAN X, DOOLEN G D. Discrete Boltzmann equation model for nonideal gases[J]. Physical Review E, 1998, 57(1): R13-R16. doi: 10.1103/PhysRevE.57.R13
    DALGAMONI H N, YONG X. Axisymmetric lattice Boltzmann simulation of droplet impact on solid surfaces[J]. Physical Review E, 2018, 98(1): 013102. doi: 10.1103/PhysRevE.98.013102
    CHENG Z, BA Y, SUN J, et al. A numerical study of droplet dynamic behaviors on a micro-structured surface using a three dimensional color-gradient lattice Boltzmann model[J]. Soft Matter, 2018, 14(5): 837-847. doi: 10.1039/C7SM02078C
    GUPTA A, KUMAR R. Simulation of droplet flows using lattice Boltzmann method[C]//ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. Darmstadt, Germany, 2008.
    ZHAO W D, ZHANG Y, XU B. An improved pseudopotential multi-relaxation-time lattice Boltzmann model for binary droplet collision with large density ratio[J]. Fluid Dynamics Research, 2019, 51(2): 025510. doi: 10.1088/1873-7005/aae443
    GONG S, CHENG P. Numerical investigation of droplet motion and coalescence by an improved lattice Boltzmann model for phase transitions and multiphase flows[J]. Computers & Fluids, 2012, 53: 93-104.
    XIONG W, CHENG P. 3D lattice Boltzmann simulation for a saturated liquid droplet at low Ohnesorge numbers impact and breakup on a solid surface surrounded by a saturated vapor[J]. Computers & Fluids, 2018, 168: 130-143.
    QIAN Y H, D’HUMIERES D, LALLEMAND P. Lattice BGK models for Navier-Stokes equation[J]. Europhysics Letter, 1992, 17(6): 479. doi: 10.1209/0295-5075/17/6/001
    KUPERSHTOKH A L, MEDVEDEV D A. Lattice Boltzmann equation method in electrohydrodynamic problems[J]. Journal of Electrostatics, 2006, 64(7/9): 581-585. doi: 10.1016/j.elstat.2005.10.012
    CHEN L, KANG Q, ROBINSON B A, et al. Pore-scale modeling of multiphase reactive transport with phase transitions and dissolution-precipitation processes in closed systems[J]. Physical Review E, 2013, 87(4): 043306. doi: 10.1103/PhysRevE.87.043306
    CLANET C, BÉGUIN C, RICHARD D, et al. Maximal deformation of an impacting drop[J]. Journal of Fluid Mechanics, 2004, 517: 199-208. doi: 10.1017/S0022112004000904
    HAGHANI R, RAHIMIAN M H. Four different types of a single drop dripping down a hole under gravity by lattice Boltzmann method[J]. Journal of Computational Applied Mechanics, 2016, 47(1): 89-98.
    HAGHANI R, RAHIMIAN M H, TAGHILOU M. LBM simulation of a droplet dripping down a hole[J]. Engineering Applications of Computational Fluid Mechanics, 2013, 7(4): 461-470. doi: 10.1080/19942060.2013.11015485
    YUAN X, CHAI Z, SHI B. Dynamic behavior of droplet through a confining orifice: a lattice Boltzmann study[J]. Computers & Mathematics With Applications, 2019, 77(10): 2640-2658.
    FAKHARI A, RAHIMIAN M H. Simulation of falling droplet by the lattice Boltzmann method[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(7): 3046-3055. doi: 10.1016/j.cnsns.2008.10.017
  • 加载中


    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


    Article Metrics

    Article views (399) PDF downloads(44) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint