Numerical study of droplet fragmentation during impact on mesh screens

  • Wang Liwei
  • Wu Xiao
  • Yu Weijie
  • Hao Pengfei
  • He Feng
  • Zhang XiwenEmail author
Research Paper


When a high-speed droplet impacts on mesh screens, part of the droplet penetrates the screen through its pores and generates smaller secondary drops, which spray downstream in a conical distribution. This instantaneous phase fragmentation phenomenon has been widely utilized in liquid spray applications and multiple-phase liquid separation. During droplet deformation, the intense liquid–gas fragmentation can lead to high nonequilibrium effect, which makes it hard to simulate by traditional fluid computational method. In this study, for the first time, we provided a numerical method to simulate the entire process of penetration dynamic behaviors. This 3D droplet-impact model based on MDPD (many-body dissipative particle dynamics) method exhibits high stability. A special solid–liquid boundary condition was proposed and successfully reduced the massive computational resources wasted on the solid mesh surface. To verify our model, the impacting of a droplet on a flat surface and on a mesh screen were simulated, respectively. The result showed a good match with our previous drop impact study and our experiment of the whole process about a droplet fragmented into hundreds of small drops. We further studied the mass transfer ratio (the ratio of penetrated drops to the initial droplet) and the ejection angle (the angle of the spray cone). The mass transfer ratio and ejection angle can be approximated as a function of Weber number, solid fraction and mesh number by summarizing the regular drop-penetrated behaviors over initial speed and mesh number.



This work was supported by the National Key R&D Program of China (Grant No. 2017YFC0111100, 2016YFC1100300), National Natural Science Foundation of China (Grant No.11972215) and National Numerical Windtunnel Project (Grant No. NNW2019ZT2-B05).


  1. Arienti M, Pan W, Li X, Karniadakis G (2011) Many-body dissipative particle dynamics simulation of liquid/vapor and liquid/solid interactions. J Chem Phys 134:204114CrossRefGoogle Scholar
  2. Boettcher SW, Spurgeon JM, Putnam MC, Warren EL, Turner-Evans DB, Kelzenberg MD, Lewis NS (2010) Energy-conversion properties of vapor-liquid-solid–grown silicon wire-array photocathodes. Science 327:185–187CrossRefGoogle Scholar
  3. Brunet P, Lapierre F, Zoueshtiagh F, Thomy V, Merlen A (2009) To grate a liquid into tiny droplets by its impact on a hydrophobic microgrid. Appl Phys Lett 95:254102CrossRefGoogle Scholar
  4. Clanet C, Béguin C, Richard D, Quéré D (2004) Maximal deformation of an impacting drop. J Fluid Mech 517:199–208CrossRefGoogle Scholar
  5. Decent SP (2006) The spreading of a viscous microdrop on a solid surface. Microfluid Nanofluid 2:537–549CrossRefGoogle Scholar
  6. Dressaire E, Sauret A, Boulogne F, Stone HA (2016) Drop impact on a flexible fiber. Soft Matter 12:200–208CrossRefGoogle Scholar
  7. Eggers J (1997) Nonlinear dynamics and breakup of free-surface flows. Rev Mod Phys 69:865CrossRefGoogle Scholar
  8. Espanol P, Warren P (1995) Statistical mechanics of dissipative particle dynamics. EPL (Europhysics Letters) 30:191CrossRefGoogle Scholar
  9. Fan X, Wang W, Su J, Wang P (2018) Mechanically robust superhydrophobic mesh for oil/water separation by a seed free hydrothermal method. Mater Res Express 6:015026CrossRefGoogle Scholar
  10. Ferreira RB, Falcão DS, Oliveira VB, Pinto AMFR (2015) Numerical simulations of two-phase flow in proton exchange membrane fuel cells using the volume of fluid method–A review. J Power Sources 277:329–342CrossRefGoogle Scholar
  11. Groot RD, Warren PB (1997) Dissipative particle dynamics: bridging the gap between atomistic and mesoscopic simulation. J Chem Phys 107:4423–4435CrossRefGoogle Scholar
  12. He YL, Liu Q, Li Q, Tao WQ (2019) Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: a review. Int J Heat Mass Transf 129:160–197CrossRefGoogle Scholar
  13. Jung S, Hoath SD, Hutchings IM (2013) The role of viscoelasticity in drop impact and spreading for inkjet printing of polymer solution on a wettable surface. Microfluid Nanofluid 14:163–169CrossRefGoogle Scholar
  14. Kooij SA, Moqaddam AM, de Goede TC, Derome D, Carmeliet J, Shahidzadeh N, Bonn D (2019) Sprays from droplets impacting a mesh. J Fluid Mech 871:489–509MathSciNetCrossRefGoogle Scholar
  15. Kubo R (1966) The fluctuation-dissipation theorem. Rep Prog Phys 29:255CrossRefGoogle Scholar
  16. Lorenceau É, Quéré D (2003) Drops impacting a sieve. J Colloid Interface Sci 263:244–249CrossRefGoogle Scholar
  17. Martys NS, Mountain RD (1999) Velocity Verlet algorithm for dissipative-particle-dynamics-based models of suspensions. Phys Rev E 59:3733CrossRefGoogle Scholar
  18. Moeendarbary E, Ng TY, Zangeneh M (2009) Dissipative particle dynamics: introduction, methodology and complex fluid applications—a review. Int J Appl Mech 1:737–763CrossRefGoogle Scholar
  19. Pan D, Phan-Thien N, Khoo BC (2014) Dissipative particle dynamics simulation of droplet suspension in shear flow at low Capillary number. J Nonnewton Fluid Mech 212:63–72CrossRefGoogle Scholar
  20. Plimpton S, Crozier P, Thompson A (2007) LAMMPS-large-scale atomic/molecular massively parallel simulator. Sandia Natl Lab 18:43Google Scholar
  21. Ryu S, Sen P, Nam Y, Lee C (2017) Water penetration through a superhydrophobic mesh during a drop impact. Phys Rev Lett 118:014501CrossRefGoogle Scholar
  22. Sahu RP, Sett S, Yarin AL, Pourdeyhimi B (2015) Impact of aqueous suspension drops onto non-wettable porous membranes: hydrodynamic focusing and penetration of nanoparticles. Colloids Surf A 467:31–45CrossRefGoogle Scholar
  23. Soto D, Girard HL, Le Helloco A, Binder T, Quéré D, Varanasi KK (2018) Droplet fragmentation using a mesh. Phys Rev Fluids 3:083602CrossRefGoogle Scholar
  24. Wang Y, Chen S (2015) Droplets impact on textured surfaces: mesoscopic simulation of spreading dynamics. Appl Surf Sci 327:159–167CrossRefGoogle Scholar
  25. Wang L, Zhang R, Zhang X, Hao P (2017) Numerical simulation of droplet impact on textured surfaces in a hybrid state. Microfluid Nanofluid 21:61CrossRefGoogle Scholar
  26. Wang F, Yang L, Wang L, Zhu Y, Fang T (2019) Maximum spread of droplet impacting onto solid surfaces with different wettabilities: adopting a rim-lamella shape. Langmuir, NYGoogle Scholar
  27. Warren PB (2003) Vapor-liquid coexistence in many-body dissipative particle dynamics. Phys Rev E 68:066702CrossRefGoogle Scholar
  28. Xu J, Xie J, He X, Cheng Y, Liu Q (2017) Water drop impacts on a single-layer of mesh screen membrane: effect of water hammer pressure and advancing contact angles. Exp Thermal Fluid Sci 82:83–93CrossRefGoogle Scholar
  29. Yu Y, Chen H, Liu Y, Craig V, Li LH, Chen Y (2014) Superhydrophobic and superoleophilic boron nitride nanotube-coated stainless steel meshes for oil and water separation. Adv Mater Interfaces 1:1300002CrossRefGoogle Scholar
  30. Zhang R, Hao P, He F (2016a) Rapid bouncing of high-speed drops on hydrophobic surfaces with microcavities, vol 32. Langmuir, NY, pp 9967–9974Google Scholar
  31. Zhang R, Hao P, Zhang X, He F (2016b) Dynamics of high Weber number drops impacting on hydrophobic surfaces with closed micro-cells. Soft Matter 12:5808–5817CrossRefGoogle Scholar
  32. Zhang R, Hao P, He F (2017) Drop impact on oblique superhydrophobic surfaces with two-tier roughness, vol 33. Langmuir, NY, pp 3556–3567Google Scholar
  33. Zhang K, Li Z, Maxey M, Chen S, Karniadakis GE (2019) Self-cleaning of hydrophobic rough surfaces by coalescence-induced wetting transition, vol 35. Langmuir, NY, pp 2431–2442Google Scholar
  34. Zhao J, Chen S, Liu Y (2018) Spontaneous wetting transition of droplet coalescence on immersed micropillared surfaces. Appl Math Model 63:390–404MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.AML, Department of Engineering MechanicsTsinghua UniversityBeijingChina

Personalised recommendations