Research output: Contribution to journal › Article › peer-review
Maximum spreading-based method for determining the pre-rebounding sliding length of a water droplet after impact on an inclined superhydrophobic textured surface. / Verkhodanov, Danila; Piskunova, Alexandra; Piskunov, Maxim et al.
In: International Journal of Multiphase Flow, Vol. 189, 105257, 08.2025.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Maximum spreading-based method for determining the pre-rebounding sliding length of a water droplet after impact on an inclined superhydrophobic textured surface
AU - Verkhodanov, Danila
AU - Piskunova, Alexandra
AU - Piskunov, Maxim
AU - Vozhakov, Ivan
AU - Safonov, Alexey
AU - Starinskiy, Sergey V.
AU - Smirnov, Nikita
N1 - Conducting the experimental research, developing the mathematical model, and analyzing the results were supported by a grant from the Russian Science Foundation № 23-71-10081 (https://rscf.ru/project/23-71-10081/). Laser texturing of samples and fluoropolymer deposition were supported by a grant from the Russian Science Foundation № 24-19-00664 (https://rscf.ru/project/24-19-00664/).
PY - 2025/8
Y1 - 2025/8
N2 - Mathematical prediction of liquid droplet sliding along self-cleaning, anti-icing, anti-fouling and water-repellent coatings is critically attractive for research and engineering development. The work deals with the development of a semi-empirical method for estimating the sliding length of a 2.1-mm water droplet before its rebound along inclined (0-85°) superhydrophobic micro-textured surfaces with advancing contact angles of 162-164°. The method is based on energy conservation-based prediction of the maximum spreading diameter of an impacting (0.5-3.2 m/s) water droplet as a time moment preceding its sliding. In the viscous dissipation work equation, the time of maximum droplet spreading is proposed to be considered through the normal ratio of wetting and antiwetting pressures of micro-textured surfaces. The developed method revealed a linear relationship between the sliding length of a droplet and its maximum spreading diameter. It was demonstrated that modeling the wetting of the internal elements of micro-textures is a crucial step in predicting the characteristics of both processes. As a prerequisite for the creation of a semi-empirical method for estimating the sliding length, the difficulties of empirical modeling of this characteristic are reasonably presented and discussed. The validity of the method for predicting the maximum spreading coefficient is substantiated by emphasizing the importance of adhesion work in the physics of spreading. The results of the study demonstrate the effectiveness of using the micro-textured, rough surface with a selected periodicity, contact angle and free surface energy as a practical water-repellent coating. This surface structure has been demonstrated to effectively repel water in real-world applications.
AB - Mathematical prediction of liquid droplet sliding along self-cleaning, anti-icing, anti-fouling and water-repellent coatings is critically attractive for research and engineering development. The work deals with the development of a semi-empirical method for estimating the sliding length of a 2.1-mm water droplet before its rebound along inclined (0-85°) superhydrophobic micro-textured surfaces with advancing contact angles of 162-164°. The method is based on energy conservation-based prediction of the maximum spreading diameter of an impacting (0.5-3.2 m/s) water droplet as a time moment preceding its sliding. In the viscous dissipation work equation, the time of maximum droplet spreading is proposed to be considered through the normal ratio of wetting and antiwetting pressures of micro-textured surfaces. The developed method revealed a linear relationship between the sliding length of a droplet and its maximum spreading diameter. It was demonstrated that modeling the wetting of the internal elements of micro-textures is a crucial step in predicting the characteristics of both processes. As a prerequisite for the creation of a semi-empirical method for estimating the sliding length, the difficulties of empirical modeling of this characteristic are reasonably presented and discussed. The validity of the method for predicting the maximum spreading coefficient is substantiated by emphasizing the importance of adhesion work in the physics of spreading. The results of the study demonstrate the effectiveness of using the micro-textured, rough surface with a selected periodicity, contact angle and free surface energy as a practical water-repellent coating. This surface structure has been demonstrated to effectively repel water in real-world applications.
KW - Droplet rebound
KW - Droplet sliding
KW - Droplet-wall impact
KW - Energy conservation
KW - Inclined micro-textured surface
KW - Superhydrophobicity
UR - https://www.mendeley.com/catalogue/20eaf7c1-8669-3849-b81d-ebde28f8f992/
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105002290690&origin=inward&txGid=b57faf7f48803affeddfe4589104426d
U2 - 10.1016/j.ijmultiphaseflow.2025.105257
DO - 10.1016/j.ijmultiphaseflow.2025.105257
M3 - Article
VL - 189
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
SN - 0301-9322
M1 - 105257
ER -
ID: 65213651