Skip to main content
Log in

Experimental study on the dynamics of droplet impacting on solid surface

  • Research
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

An experimental visualization is undertaken to investigate the impact dynamic behaviors of water, absolute ethanol, and low surface energy droplets with different viscosities impacting on hydrophobic surfaces. Droplets’ impacting behaviors, including spreading, rebounding, and oscillation retraction, are observed and quantitatively characterized by transient spreading factor and maximum spreading diameter. Effects of droplet impact velocity, surface wettability, and droplet viscosity on the impact dynamics are explored and analyzed. As the droplet impact velocity increases, the droplet kinetic energy increases, resulting in an increase in the spreading factor and spreading velocity simultaneously. Hydrophobic surfaces are not easy to be wetted by water droplets due to their low surface energy, leading to the partial rebound of water droplets when impacting on the hydrophobic surfaces. However, this phenomenon does not occur when low surface energy droplets, such as absolute ethanol and simethicone, impact on hydrophobic surfaces at the same velocity. The increasing droplet viscosity enhances the viscous dissipation, slowing down the impact process and inhibiting the droplet spreading, oscillation, and retraction behaviors. Based on the energy conservation method, a universal model for the maximum spreading factor of low surface energy droplets with different viscosities impacting on hydrophobic surface was established. According to the experimental results, a new spreading time model tm = 2D0/U0 was proposed to enhance applicability of the model for low surface energy droplets with high viscosity, reducing the calculation error to less than 10%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  • Ahmad M, Schatz M, Casey MV (2018) An empirical approach to predict droplet impact erosion in low-pressure stages of steam turbines. Wear 402:57–63

    Article  Google Scholar 

  • Bartolo D, Josserand C, Bonn D (2005) Retraction dynamics of aqueous drops upon impact on non-wetting surfaces. J Fluid Mech 545:329–338

    Article  MATH  Google Scholar 

  • Chandra S, Avedisian CT (1991) On the collision of a droplet with a solid surface. Proc R Soc Lond Series A Math Phys Sci. 432:13–41

    Google Scholar 

  • Chen Y, Deng Z (2017) Hydrodynamics of a droplet passing through a microfluidic T-junction. J Fluid Mech 819:401–434

    Article  MathSciNet  MATH  Google Scholar 

  • Chen Y, Liu X, Shi M (2013) Hydrodynamics of double emulsion droplet in shear flow. Appl Phys Lett 102(5):051609

    Article  Google Scholar 

  • Chen Y, Wu L, Zhang L (2015) Dynamic behaviors of double emulsion formation in a flow-focusing device. Int J Heat Mass Transf 82:42–50

    Article  Google Scholar 

  • Clanet C, Béguin C, Richard D, Quéré D (2004) Maximal deformation of an impacting drop. J Fluid Mech 517:199–208

    Article  MATH  Google Scholar 

  • Debnath D, Verma D, Kumar P, Balakrishnan V (2023) Understanding the impact dynamics of droplets on superhydrophobic surface. Int J Multiph Flow 159:104344

    Article  Google Scholar 

  • Du J, Wang X, Li Y, Min Q (2021a) Maximum spreading of liquid droplets impact on concentric ring-textured surfaces: theoretical analysis and numerical simulation. Colloids Surf, A 630:127647

    Article  Google Scholar 

  • Du J, Wang X, Li Y, Min Q, Wu X (2021b) Analytical consideration for the maximum spreading factor of liquid droplet impact on a smooth solid surface. Langmuir 37(24):7582–7590

    Article  Google Scholar 

  • Emdadi M, Pournaderi P (2020) Numerical simulation of conducting droplet impact on a surface under an electric field. Acta Mech 231(3):1083–1103

    Article  MathSciNet  Google Scholar 

  • Gao X, Li R (2014) Spread and recoiling of liquid droplets impacting solid surfaces. AIChE J 60(7):2683–2691

    Article  Google Scholar 

  • Hao J, Lu J, Lee L, Wu Z, Hu G, Floryan JM (2019) Droplet splashing on an inclined surface. Phys Rev Lett 122(5):054501

    Article  Google Scholar 

  • Hsieh SS, Luo SY (2016) Droplet impact dynamics and transient heat transfer of a micro spray system for power electronics devices. Int J Heat Mass Transf 92:190–205

    Article  Google Scholar 

  • Huang HM, Chen XP (2018) Energetic analysis of drop’s maximum spreading on solid surface with low impact speed. Phys Fluids 30(2):022106

    Article  Google Scholar 

  • Josserand C, Thoroddsen ST (2016) Drop impact on a solid surface. Annu Rev Fluid Mech 48:365–391

    Article  MathSciNet  MATH  Google Scholar 

  • 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 14:163–169

    Article  Google Scholar 

  • Kim SG, Kim W (2016) Drop impact on a fiber. Phys Fluids 28(4):042001

    Article  MathSciNet  Google Scholar 

  • Lee JB, Derome D, Guyer R, Carmeliet J (2016) Modeling the maximum spreading of liquid droplets impacting wetting and nonwetting surfaces. Langmuir 32(5):1299–1308

    Article  Google Scholar 

  • Li R, Ashgriz N, Chandra S (2010) Maximum spread of droplet on solid surface: low Reynolds and Weber numbers. J Fluids Eng. https://doi.org/10.1115/1.4001695

    Article  Google Scholar 

  • Li C, Wu G, Li M, Hu C, Wei J (2020) A heat transfer model for aluminum droplet/wall impact. Aerosp Sci Technol 97:105639

    Article  Google Scholar 

  • Lin S, Zhao B, Zou S, Guo J, Wei Z, Chen L (2018) Impact of viscous droplets on different wettable surfaces: Impact phenomena, the maximum spreading factor, spreading time and post-impact oscillation. J Colloid Interface Sci 516:86–97

    Article  Google Scholar 

  • Liu X, Zhang X, Min J (2019) Spreading of droplets impacting different wettable surfaces at a Weber number close to zero. Chem Eng Sci 207:495–503

    Article  Google Scholar 

  • Luo J, Wu SY, Xiao L, Chen ZL (2021) Parametric influencing mechanism and control of contact time for droplets impacting on the solid surfaces. Int J Mech Sci 197:106333

    Article  Google Scholar 

  • Mao T, Kuhn DCS, Tran H (1997) Spread and rebound of liquid droplets upon impact on flat surfaces. AIChE J 43:2169–2179

    Article  Google Scholar 

  • Palacios J, Hernández J, Gómez P, Zanzi C, López J (2013) Experimental study of splashing patterns and the splashing/deposition threshold in drop impacts onto dry smooth solid surfaces. Exp Thermal Fluid Sci 44:571–582

    Article  Google Scholar 

  • Pasandideh-Fard M, Qiao YM, Chandra S, Mostaghimi J (1996) Capillary effects during droplet impact on a solid surface. Phys Fluids 8(3):650–659

    Article  Google Scholar 

  • Pournaderi P, Emdadi M (2019) Study of droplet impact on a wall using a sharp interface method and different contact line models. J Appl Fluid Mech 12(4):1001–1012

    Article  Google Scholar 

  • Rioboo R, Tropea C, Marengo M (2001) Outcomes from a drop impact on solid surfaces. Atomiz Spr 11(2):12

    Article  Google Scholar 

  • Roisman IV (2009) Inertia dominated drop collisions. II. An analytical solution of the Navier-Stokes equations for a spreading viscous film. Phys Fluids 21(5):052104

    Article  MATH  Google Scholar 

  • Scheller BL, Bousfield DW (1995) Newtonian drop impact with a solid surface. AIChE J 41(6):1357–1367

    Article  Google Scholar 

  • Shyam S, Banerjee U, Mondal PK, Mitra SK (2023) Impact dynamics of ferrofluid droplet on a PDMS substrate under the influence of magnetic field. Colloids Surf, A 661:130911

    Article  Google Scholar 

  • Tsai P, Hendrix MH, Dijkstra RR, Shui L, Lohse D (2011) Microscopic structure influencing macroscopic splash at high Weber number. Soft Matter 7(24):11325–11333

    Article  Google Scholar 

  • Wang F, Fang T (2020) Retraction dynamics of water droplets after impacting upon solid surfaces from hydrophilic to superhydrophobic. Phys Rev Fluids 5(3):033604

    Article  Google Scholar 

  • Wang X, Chen L, Bonaccurso E (2015) Comparison of spontaneous wetting and drop impact dynamics of aqueous surfactant solutions on hydrophobic polypropylene surfaces: scaling of the contact radius. Colloif Polymer Sci 293:257–265

    Article  Google Scholar 

  • Wang CH, Tsai HL, Wu YC, Hwang WS (2016) Investigation of molten metal droplet deposition and solidification for 3D printing techniques. J Micromech Microeng 26(9):095012

    Article  Google Scholar 

  • 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 35(8):3204–3214

    Article  Google Scholar 

  • Wang K, Ma X, Chen F, Lan Z (2021a) Effect of a superhydrophobic surface structure on droplet jumping velocity. Langmuir 37(5):1779–1787

    Article  Google Scholar 

  • Wang L, Feng J, Dang T, Peng X (2021b) Dynamics of oil droplet impacting and wetting on the inclined surfaces with different roughness. Int J Multiph Flow 135:103501

    Article  Google Scholar 

  • Wildeman S, Visser CW, Sun C, Lohse D (2016) On the spreading of impacting drops. J Fluid Mech 805:636–655

    Article  MathSciNet  Google Scholar 

  • Xu M, Zhang J, Chen R, Lu S (2019) Single droplet with or without additives impacting on high-temperature burning liquid pool. Int J Heat Mass Transf 139:77–86

    Article  Google Scholar 

  • Yonemoto Y, Kunugi T (2017) Analytical consideration of liquid droplet impingement on solid surfaces. Sci Rep 7(1):2362

    Article  Google Scholar 

  • Young T (1805) III. An essay on the cohesion of fluids. Philos Trans R Soc Lond 95:65–87

    Google Scholar 

  • Zhang J, Liu H, Ba Y (2019) Numerical study of droplet dynamics on a solid surface with insoluble surfactants. Langmuir 35(24):7858–7870

    Article  Google Scholar 

  • Zhou B, Cai P, Chen Y (2019) Interfacial mass transfer of water for fluorobenzene/aqueous solution system in double emulsion. Int J Heat Mass Transf 145:118690

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Contributions

JiangFeng Li and Chen Zhao designed and performed the experiments, interpreted results, and co-wrote the manuscript. Chengyao Wang supervised the work, reviewed, and edited the manuscript.

Corresponding author

Correspondence to Chengyao Wang.

Ethics declarations

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, J., Zhao, C. & Wang, C. Experimental study on the dynamics of droplet impacting on solid surface. Microfluid Nanofluid 27, 69 (2023). https://doi.org/10.1007/s10404-023-02680-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10404-023-02680-1

Keywords

Navigation