Skip to main content
Log in

Three Dimensional Computational Study of Droplet Impact on a Solid Surface

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A comprehensive three-dimensional computational analysis is undertaken to track the droplet dynamics along with the heat transfer characteristics throughout the spreading and recoiling phases. Notably, the simulation results are compared within the frameworks of the static contact angle (SCA) and dynamic contact angle (DCA) models. The study uses the volume of fluid (VOF) technique within the ANSYS Fluent platform, incorporating the dynamic contact angle model. The simulation outcomes exhibit a reasonable degree of agreement with experimental results, both in quantitative and qualitative terms. The SCA model closely approximates the DCA model during the initial spreading phase, but, as the process progresses, the results based on the SCA model significantly deviate from the results of the DCA model as well as from the experimental observations. The presence of air trapped between the droplet and the solid surface acts as a barrier, impeding the heat transfer from the droplet to the surface. The heat flux attains the global maxima about the triple phase contact line region.

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.
Fig. 11.
Fig. 12.
Fig. 13.

Similar content being viewed by others

REFERENCES

  1. Rein, M., Phenomena of liquid drop impact on solid and liquid surfaces, Fluid Dynamics Research, 1993, vol. 12.

  2. Yarin, A., Drop impact dynamics: Splashing, spreading, receding, bouncing..., Annu. Rev. Fluid Mech., 2006, vol. 38, pp. 159–192.

    Article  ADS  MathSciNet  Google Scholar 

  3. Josserand, C. and Thoroddsen, S. T., Drop impact on a solid surface, Annual Review of Fluid Mechanics, 2016, vol. 48, pp. 365–391.

    Article  ADS  MathSciNet  Google Scholar 

  4. Tran, T., Stat, H. J. J., and Prosperetti, A., Drops and bubbles in contact with solid surfaces, Ann. Rev. Fluid Mech., 2017, vol. 49, pp. 313–339.

    Google Scholar 

  5. Fang, W., Zhang, K., Jiang, Q., Lv, C., Sun, C., Li, Q., Song, Y., and Feng, X., Drop impact dynamics on solid surfaces, Appl. Phys. Lett., 2022, vol. 121, p. 210501.

  6. Wang, L., Gong, Q., Zhan, S., Jiang, L., and Zheng, Y., Robust anti-icing performance of a flexible superhydrophobic surface, Advan. Mat., 2016, vol. 28, pp. 7729–7735.

    Article  Google Scholar 

  7. Kobayashi, M., Terayama, Y., Yamaguchi, H., Terada, M., Murakami, D., Ishihara, K., and Takahara, A., Wettability and antifouling behavior on the surfaces of superhydrophilic polymer brushes, Langmuir, 2012, vol. 28, pp. 7212–7222.

    Article  Google Scholar 

  8. Worthington, A.M., On the forms assumed by drops of liquids falling vertically on a horizontal plate, Proc. R. Soc. London, 1876, vol. 25, pp. 261–271.

    Google Scholar 

  9. Chandra, S. and Avedisian, C.T., On the collision of a droplet with a solid surface, Proc. R. Soc. Lond. A., 1991, vol. 432, pp. 13–41.

    Article  ADS  Google Scholar 

  10. Rioboo, R., Marengo, M., and Tropea, C., Time evolution of liquid drop impact onto solid dry surfaces, Exp. in Fluids, 2002, vol. 33, pp. 112–124.

    Article  ADS  Google Scholar 

  11. Šikalo, Š., Tropea, C., and Ganić, E.N., Impact of droplets onto inclined surfaces, J. Coll. Interface Sci., 2005, vol. 286, pp. 661–669.

    Article  ADS  Google Scholar 

  12. Dong, H., Zheng, Y., and Dunn, M.L., Evaporating droplet impact on a superhydrophobic surface: observation of the coffee stain effect, Soft Matter, 2016, vol. 12, pp. 6311–6321.

    Google Scholar 

  13. Zhang, C., Zhao, H., and Xu, J., Splashing and rebound behaviors during droplet impact on rough surfaces, Phys. Rev. Fluids, 2021, vol. 6, p. 044003.

  14. Darmanin, T. and Guittard, F., Superhydrophobic and superoleophobic properties in nature, Materials Today, 2019, vol. 30, pp. 33–48.

    Google Scholar 

  15. Li, L., Zhang, Y., and Cao, Z., Enhanced heat transfer performance by droplet impact on micro structured surface, Exp. Therm. Fluid Sci., 2021, vol. 121, p. 110299.

  16. Jin, L. and Wang, Y., Numerical study on effects of large curved super hydrophobic surfaces on droplet post-impact dynamics, Coll. Interf. Sci. Com., 2022, vol. 51, p. 100676.

  17. Pasandideh-Fard M., Qiao Y.M., Chandra S., and Mostaghimi J., Capillary effects during droplet impact on a solid surface, Phys. Fluids, 1996, vol. 8.

  18. Clanet, C., Béguin, C., Richard, D., and Quéré, D., Maximal deformation of an impacting drop, J. Fluid Mech., 2004, vol. 517, pp. 199–208.

    Article  ADS  Google Scholar 

  19. Rioboo, R. and Tropea, C., Outcomes from a drop impact on solid surfaces, Atomization and Sprays, 2001, vol. 11, pp. 155–165.

    Article  Google Scholar 

  20. Renardy, Y., Popinet, S., Duchemin, L., Renardy, M., Zaleski, S., Josserand, C., Clark, M.A.D., Richard, D., Clanet, C., and Quere, D., Pyramidal and toroidal water drops after impact on a solid surface, J. Fluid Mech., 2003, vol. 484, pp. 69–83.

    Article  ADS  Google Scholar 

  21. Bartolo, D., Josserand, C., and Bonn, D., Singular jets and bubbles in drop impact, Phys. Rev. Lett., 2006, vol. 96.

  22. Bayer I.S. and Megaridis C.M., Contact angle dynamics in droplets impacting on flat surfaces with different wetting characteristics, J. Fluid Mech. 2006, vol. 558, pp. 415–449.

    Article  ADS  Google Scholar 

  23. Yokoi, K., Vadillo, D., Hinch, J., and Hutchings, I., Numerical studies of the influence of the dynamic contact angle on a droplet impacting on a dry surface, Phys. Fluids, 2009, vol. 21, p. 072102.

  24. Gordillo, L., Sun, T.P., and Cheng, X., Dynamics of drop impact on solid surfaces: evolution of impact force and self-similar spreading, J. Fluid Mech., 2018, vol. 840, pp. 190–214.

    Article  ADS  Google Scholar 

  25. Xu, Z., Qi, H., Wang, T., and Che, Z., Coalescence delay mediated by the gas layer during the impact of hot droplets, Int. J. Heat Mass Transf., 2023, vol. 204, p. 123864.

  26. Ma, Y., Zhou, Z., Zhang, F., Cheng, Y., and Xu, J., Numerical investigation of impacting heat transfer of binary droplets on super hydrophobic substrates, Int. J. Therm. Sci., 2023, vol. 192, p. 108381.

  27. Jaiswal, A.K. and Khandekar, S., Transient heat transfer during consecutive impact of two droplets on a heated substrate, Int. J. Therm. Sci., 2023, vol. 193, p. 108546.

  28. Chen, W., Guo, Y., and Zhang, X., Modeling the dynamic behavior of droplets impacting on rough surfaces, Langmuir, 2022, vol. 38, pp. 575–584.

    Google Scholar 

  29. Umesh and Singh, N. K., A numerical study of air entrapment during the droplet impact on a solid substrate, Heat Transfer, 2022, vol. 52, pp. 1457–1473.

    Article  Google Scholar 

  30. Hirt, C. W. and Nichols, B. D., Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comp. Phys., 1981, vol. 39.

  31. Brackbill, J.U., Kothe, D.B., and Zemach, C., A continuum method for modeling surface tension, J. Comp. Phys., 1992, vol. 100.

  32. Delele, M.A., Nuyttens, D., Duga, A.T., Ambaw, A., Lebeau, F., Nicolai, B.M., and Verboven, P., Predicting the dynamic impact behaviour of spray droplets on flat plant surfaces, Soft Matter, 2016, vol. 12, pp. 7195–7211.

    Article  ADS  Google Scholar 

  33. Li, D., Zhang, D., Zheng, Z., and Tian, X., Numerical analysis on air entrapment during a droplet impacts on a dry flat surface, Int. J. Heat and Mass Transf., 2017, vol. 115, pp. 186–193.

    Article  Google Scholar 

Download references

ACKNOWLEDGEMENTS

This research project was undertaken with the assistance of resources and services from the Computational Fluid Dynamics Lab of National Institute of Technology Kurukshetra.

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Umesh or N. K. Singh.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Umesh, Singh, N.K. Three Dimensional Computational Study of Droplet Impact on a Solid Surface. Fluid Dyn (2024). https://doi.org/10.1134/S0015462823602528

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1134/S0015462823602528

Keywords:

Navigation