Hostname: page-component-5b777bbd6c-gcwzt Total loading time: 0 Render date: 2025-06-19T10:38:29.469Z Has data issue: false hasContentIssue false

An experimental investigation of the effect of a supercooled large droplet impingement on freezing behaviour

Published online by Cambridge University Press:  13 May 2025

J. Wang
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
R. Guo
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
N. Zhao
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
C. Zhu*
Affiliation:
State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
*
Corresponding author: C. Zhu; Email: clzhu@nuaa.edu.cn

Abstract

The impinging–freezing of supercooled water droplets (SLDs) is the root cause of aircraft icing. This work presented an experimental investigation of a millimeter-sized supercooled droplet (−10 $^\circ {\rm{C}}$) impact onto cold surfaces. For the majority of the current research on freezing behaviour, the quantitative analysis of impingement contributions was neglected. The present study established prediction models for the frozen area ratio, initial freezing height and solidification time by changing Weber number and Stefan number. The results showed that with the decrease in surface temperatures, the maximum spreading factor and the peak height factor were unchanged; however, the receding velocity of the liquid film reduced. Besides, regardless of the three freezing modes (quasi-static, instantaneous and delayed), the frozen area ratio consistently increased with decreasing Weber number. For the Stefan number exceeded 0.12, the frozen area ratio increased with decreasing surface temperature; otherwise, it was independent of the surface temperature. In addition, the initial height of asymmetrical frozen droplets was characterised using the ‘two-ellipse’ method, revealing an inverse proportionality to the square root of the frozen area ratio. Furthermore, the solidification time of the hemisphere and pancake frozen droplets shortened with the decrease in the initial height and surface temperature. This fundamental study provides valuable insights for understanding aircraft icing and optimising anti-icing systems.

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Ferdous, M. and Haider, M.H. Prediction of ice accretion and aerodynamic performance analysis of NACA 2412 aerofoil, Aeronaut. J., 2023, 127, pp 11041140.CrossRefGoogle Scholar
Deiler, C. Flight characteristics with different supercooled large Droplet Ice configurations, Aeronaut. J., 2022, 126, pp 848865.CrossRefGoogle Scholar
Zhu, C.X., Tao, M.J., Zhao, N., Zhu, C.L. and Wang, Z.Z. Study of droplet shadow zone of aircraft wing with diffusion effects, AIAA J., 2019, 57, pp 33393348.CrossRefGoogle Scholar
Xu, Z., Zeng, X., Yang, S. and Yang, J. Numerical simulation of droplet impingement and film flow for three-dimensional wings, Aeronaut. J., 2024, 128, pp 13021322.Google Scholar
Moghtadernejad, S., Mohammadi, M., Jadidi, M., Tembely, M. and Dolatabadi, A. Shear driven droplet shedding on surfaces with various wettabilities, SAE Int. J. Aerosp., 2013, 6, (2), pp 459464.CrossRefGoogle Scholar
Tiwari, A., Samanta, R. and Chattopadhyay, H. Droplet solidification: physics and modelling, Appl. Therm. Eng., 2023, 228, p 120515.CrossRefGoogle Scholar
Song, M.J., Dang, C.B., Higashi, T. and Hihara, E. Review of experimental data associated with the solidification characteristics of water droplets on a cold plate surface at the early frosting stage, Energy Build., 2020, 223, p 110103.CrossRefGoogle Scholar
Stiti, M., Castanet, G., Labergue, A. and Lemonie, F. Icing of a droplet deposited onto a subcooled surface, Int. J. Heat Mass Trans., 2020, 159, p 120116.CrossRefGoogle Scholar
Zhang, C. and Liu, H. Effect of drop size on the impact thermodynamics for supercooled large droplet in aircraft icing, Phys. Fluids, 2016, 28, p 062107.CrossRefGoogle Scholar
Wang, L.P., Kong, W.L., Wang, F.X. and Liu, H. Effect of nucleation time on freezing morphology and type of a water droplet impacting onto cold substrate, Int. J. Heat Mass Trans., 2019, 130, pp 831842.CrossRefGoogle Scholar
Schremb, M., Roisman, I.V., Jakirlic, S. and Tropea, C. Freezing behavior of supercooled water drops impacting onto a cold surface, in ILASS – Europe 27th Annual Conference on Liquid Atomization and Spray Systems, 4--7 September 2016, Brighton, UK, pp 18.Google Scholar
Fang, W.Z., Zhu, F.Q., Zhu, L.L., Tao, W.Q. and Yang, C. Self-peeling of frozen water droplets upon impacting a cold surface, Commun. Phys.-UK, 2022, 5, pp 17.Google Scholar
Kong, W.L., Wang, L.P., Bian, P.X. and Liu, H. Effect of surface wettability on impact-freezing of supercooled large water droplet, Exp. Therm. Fluid Sci., 2022, 130, p 110508.CrossRefGoogle Scholar
Thiévenaz, V., Séon, T. and Josserand, C. Solidification dynamics of an impacted drop, J. Fluid Mech., 2019, 874, pp 756773.CrossRefGoogle Scholar
Zhang, X., Liu, X., Wu, X.M. and Min, J.C. Simulation and experiment on supercooled sessile water droplet freezing with special attention to supercooling and volume expansion effects, Int. J. Heat Mass Trans., 2018, 127, pp 975985.CrossRefGoogle Scholar
Zhang, X., Wu, X.M., Min, J.C. and Liu, X. Modelling of sessile water droplet shape evolution during freezing with consideration of supercooling effect, Appl. Therm. Eng., 2017, 125, pp 644651.CrossRefGoogle Scholar
Zhu, Z.B., Zhang, X., Zhao, Y.G., Huang, X.Y. and Yang, C. Freezing characteristics of deposited water droplets on hydrophilic and hydrophobic cold surfaces, Int. J. Therm. Sci., 2022, 171, p 107241.CrossRefGoogle Scholar
Zhang, H.F., Zhao, Y.G., Lv, R. and Yang, C. Freezing of sessile water droplet for various contact angles, Int. J. Therm. Sci., 2016, 101, pp 5967.CrossRefGoogle Scholar
Sun, M.M., Kong, W.L., Wang, F.X. and Liu, H. Impact freezing modes of supercooled droplets determined by both nucleation and icing evolution, Int. J. Heat Mass Trans., 2019, 142, p 118431.CrossRefGoogle Scholar
Yao, Y.N., Li, C., Tao, Z.X., Yang, R. and Zhang, H. Experimental and numerical study on the impact and freezing process of a water droplet on a cold surface, Appl. Therm. Eng., 2018, 137, pp 8392.CrossRefGoogle Scholar
Liu, X., Min, J.C., Zhang, X., Hu, Z.F. and Wu, X.M. Supercooled water droplet impacting-freezing behaviors on cold superhydrophobic spheres, Int. J. Multiphas. Flow, 2021, 141, p 103675.CrossRefGoogle Scholar
Meng, Z.Y., Zhu, Y.B., Hao, J.G., Hu, G.K. and Floryan, J.M. Pancake-shaped freezing of a droplet impacting a supercooled surface: evidence for a threshold temperature, Phys. Fluids, 2022, 34, p 082115.CrossRefGoogle Scholar
Liu, Y.Z., Wang, T.B., Song, Z.Y. and Chen, M. Spreading and freezing of supercooled water droplets impacting an ice surface, Appl. Surf. Sci., 2022, 583, p 152374.CrossRefGoogle Scholar
Sun, M.M, Kong, W.L., Wang, F.X. and Liu, H. Effect of nucleation and icing evolution on run-back freezing of supercooled water droplet, Aerosp. Syst., 2019, 2, pp 147153.CrossRefGoogle Scholar
Chang, S.N., Liang, D., Song, M.J. and Leng, M.Y. Numerical investigation on impingement dynamics and freezing performance of micrometer-sized water droplet on dry flat surface in supercooled environment, Int. J. Multiphas. Flow, 2019, 118, pp 150164.Google Scholar
Li, W., Wang, J.X., Tian, L.L., Zhu, C.L. and Zhao, N. Numerical investigation on rebound dynamics of supercooled water droplet on cold superhydrophobic surface, Appl. Therm. Eng., 2024, 239, p 122007.CrossRefGoogle Scholar
Wang, Y.K., Ju, L., Han, D.F. and Wang, Q. Numerical investigation of the impacting and freezing process of a single supercooled water droplet, Phys. Fluids, 2021, 33, p 042114.CrossRefGoogle Scholar
Shen, F.Q., Fang, W.Z., Zhu, F.Q., Chai, D.L. and Tao, W.Q. Freezing behaviors of an impacting droplet on subcooled hydrophobic surfaces, Appl. Therm. Eng., 2024, 236, p 121535.CrossRefGoogle Scholar
Wang, Y.K., Wang, Q., Ju, L., Han, D.F. and Xue, Y.Z. Numerical analysis on dynamics and thermodynamics of a supercooled water droplet considering the dynamic contact angle, Phys. Fluids, 2021, 33, p 102101.CrossRefGoogle Scholar
Chang, S.N., Song, H. and Wu, K. Experimental investigation on impact dynamics and freezing performance of water droplet on horizontal cold surface, Sustain. Energy Tech., 2021, 45, p 101128.Google Scholar
Shen, J.X. and Wang, X.S. Substrate counts: quantitative effects of surface roughness on fingering pattern and rim shape of an impacting drop, Phys. Fluids, 2020, 32, p 093313.CrossRefGoogle Scholar
Zhang, X., Liu, X., Min, J.C. and Wu, X.M. Shape variation and unique tip formation of a sessile water droplet during freezing, Appl. Therm. Eng., 2019, 147, pp 927934.CrossRefGoogle Scholar
Eggers, J., Fontelos, M.A., Josserand, C. and Zaleski, S. Drop dynamics after impact on a solid wall: theory and simulations, Phys. Fluids, 2010, 22, p 062101.CrossRefGoogle Scholar
Laan, N., Bruin, K.G., Bartolo, D., Josserand, C. and Bonn, D. Maximum diameter of impacting liquid droplets, Phys. Rev. Lett., 2014, 2, p 044018.Google Scholar
Wang, F.J. and Fang, T.G. Retraction dynamics of water droplets after impacting upon solid surfaces from hydrophilic to superhydrophobic, Phys. Rev. Fluids, 2020, 5, p 033604.CrossRefGoogle Scholar
Lv, S.H., Yang, Z. and Duan, Y.Y. Retraction kinetics of impacting nanodroplets on hydrophobic surfaces: a molecular dynamics simulation study, J. Mol. Liq., 2021, 341, p 116936.CrossRefGoogle Scholar
Pasandideh-Fard, M., Qiao, M.Y., Chandra, S. and Mostaghimi, J. Capillary effects during droplet impact on a solid surface, Phys. Fluids, 1996, 8, pp 650659.CrossRefGoogle Scholar
Shen, Y.Z., Liu, S.Y., Zhu, C.L., Tao, J. and Wang, G.Y. Facile fabrication of hierarchical structured superhydrophobic surface and its ultra dynamic water repellency, Chem. Eng. J., 2017, 313, pp 4755.CrossRefGoogle Scholar
Bartolo, D., Josserand, C. and Bonn, D. Retraction dynamics of aqueous drops upon impact on non-wetting surfaces, J. Fluid Mech., 2005, 545, pp 329338.CrossRefGoogle Scholar
Attané, P., Girard, F. and Morin, V. An energy balance approach of the dynamics of drop impact on a solid surface, Phys. Fluids, 2007, 19, p 012101.CrossRefGoogle Scholar
Wang, Y.F., Wang, Y.B., He, X., Zhang, B.X., Yang, Y.R., Wang, X.D. and Lee, D.J. Retraction dynamics of low-viscosity nanodroplets: from hydrophobic to hydrophilic surfaces, J. Mol. Liq., 2022, 355, p 118963.CrossRefGoogle Scholar