Abstract
In this study, we numerically investigate the droplet impact onto a thin liquid film deposited on a structured surface with square pillars and cavities. The time evolution of crown geometry is strongly affected by the surface structure. When the thickness of the liquid film is larger than the structure height, the expanding speed of the crown base radius is independent of the structure width. However, if the liquid film thickness is equal to the structure height, the crown base expands slower as the structure width increases. Surface structures have strong effects on the crown height and radius, and can prevent ejected filament from breaking into satellite droplets for certain cases. For the liquid film with the thickness equal to the pillar height, both the crown height and the radius exhibit non-monotonic behaviors as the pillar width increases. There exists one pillar width which produces the smallest crown height and the largest crown radius.
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VAN DER BOS, A., VAN DER MEULEN, M. J., DRIESSEN, T., VAN DEN BERG, M., REINTEN, H., WIJSHOFF, H., VERSLUIS, M., and LOHSE, D. Velocity profile inside piezoacoustic inkjet droplets in flight: comparison between experiment and numerical simulation. Physical Review Applied, 1(1), 014004 (2014)
AZIZ, S. D. and CHANDRA, S. Impact, recoil and splashing of molten metal droplets. International Journal of Heat and Mass Transfer, 43(16), 2841–2857 (2000)
MOREIRA, A., MOITA, A., and PANAO, M. Advances and challenges in explaining fuel spray impingement: how much of single droplet impact research is useful? Progress in Energy and Combustion Science, 36(5), 554–580 (2010)
GILET, T. and BOUROUIBA, L. Fluid fragmentation shapes rain-induced foliar disease transmission. Journal of the Royal Society Interface, 12(104), 20141092 (2015)
GART, S., MATES, J. E., MEGARIDIS, C. M., and JUNG, S. Droplet impacting a cantilever: a leaf-raindrop system. Physical Review Applied, 3(4), 044109 (2015)
REIN, M. Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dynamics Research, 12(2), 61–93 (1993)
HUANG, Q. and ZHANG, H. A study of different fluid droplets impacting on a liquid film. Petroleum Science, 5(1), 62–66 (2008)
YARIN, A. L. and WEISS, D. A. Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity. Journal of Fluid Mechanics, 283, 141–173 (1995)
WANG, A. B. and CHEN, C. C. Splashing impact of a single drop onto very thin liquid films. Physics of Fluids, 12(9), 2155–2158 (2000)
COSSALI, G., MARENGO, M., COGHE, A., and ZHDANOV, S. The role of time in single drop splash on thin film. Experiments in Fluids, 36(6), 888–900 (2004)
ELLIS, A., SMITH, F., and WHITE, A. Droplet impact on to a rough surface. The Quarterly Journal of Mechanics & Applied Mathematics, 64(2), 107–139 (2011)
HUNG, Y. L., WANG, M. J., LIAO, Y. C., and LIN, S. Y. Initial wetting velocity of droplet impact and spreading: water on glass and parafilm. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 384(1–3), 172–179 (2011)
VANDER WAL, R. L., BERGER, G. M., and MOZES, S. D. The combined influence of a rough surface and thin fluid film upon the splashing threshold and splash dynamics of a droplet impacting onto them. Experiments in Fluids, 40(1), 23–32 (2006)
BARTHLOTT, W. and NEINHUIS, C. Purity of the sacred lotus, or escape from contamination in biological surfaces. Planta, 202(1), 1–8 (1997)
FENG, L., LI, S., LI, Y., LI, H., ZHANG, L., ZHAI, J., SONG, Y., LIU, B., JIANG, L., and ZHU, D. Super-hydrophobic surfaces: from natural to artificial. Advanced Materials, 14(24), 1857–1860 (2002)
YARIN, A. L. Drop impact dynamics: splashing, spreading, receding, bouncing. Annual Review Fluid Mechanics, 38, 159–192 (2006)
JOSSERAND, C. and THORODDSEN, S. T. Drop impact on a solid surface. Annual Review of Fluid Mechanics, 48, 365–391 (2016)
LEE, M., CHANG, Y. S., and KIM, H. Y. Drop impact on microwetting patterned surfaces. Physics of Fluids, 22(7), 072101 (2010)
KANNAN, R. and SIVAKUMAR, D. Drop impact process on a hydrophobic grooved surface. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 317(1–3), 694–704 (2008)
LATKA, A., STRANDBURG-PESHKIN, A., DRISCOLL, M. M., STEVENS, C. S., and NAGEL, S. R. Creation of prompt and thin-sheet splashing by varying surface roughness or increasing air pressure. Physical Review Letters, 109(5), 054501 (2012)
XU, L. Liquid drop splashing on smooth, rough, and textured surfaces. Physical Review E, 75(5), 056316 (2007)
RIOBOO, R., BAUTHIER, C., CONTI, J., VOUE, M., and DE CONINCK, J. Experimental investigation of splash and crown formation during single drop impact on wetted surfaces. Experiments in Fluids, 35(6), 648–652 (2003)
WEISS, D. A. and YARIN, A. L. Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation. Journal of Fluid Mechanics, 385, 229–254 (1999)
JOSSERAND, C. and ZALESKI, S. Droplet splashing on a thin liquid film. Physics of Fluids, 15(6), 1650–1657 (2003)
GUEYFFIER, D. and ZALESKI, S. Finger formation during droplet impact on a liquid film. Comptes Rendus de l’Académie des Sciences-Series IIB-Mechanics Physics Astronomy, 12(326), 839–844 (1998)
COSSALI, G. E., COGHE, A., and MARENGO, M. The impact of a single drop on a wetted solid surface. Experiments in Fluids, 22(6), 463–472 (1997)
LEE, S. H., HUR, N., and KANG, S. A numerical analysis of drop impact on liquid film by using a level set method. Journal of Mechanical Science and Technology, 25(10), 2567 (2011)
MUKHERJEE, S. and ABRAHAM, J. Crown behavior in drop impact on wet walls. Physics of Fluids, 19(5), 052103 (2007)
BRACKBILL, J. U., KOTHE, D. B., and ZEMACH, C. A continuum method for modeling surface tension. Journal of Computational Physics, 100(2), 335–354 (1992)
WELLER, H. G. A new approach to VoF-based interface capturing methods for incompressible and compressible flow. Technical Report, OpenCFD Ltd., TR/HGW/04, 35 (2008)
SHETABIVASH, H., OMMI, F., and HEIDARINEJAD, G. Numerical analysis of droplet impact onto liquid film. Physics of Fluids, 26(1), 012102 (2014)
Acknowledgements
The numerical simulations were performed on Tianhe-1A, the National Super Computing Center in Tianjin, China. M. MOHASAN would like to thank Chinese Scholarship Council for providing Chinese Government Scholarship.
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Citation: MOHASAN, M., AQEEL, A. B., DUAN, H. L., LYU, P. Y., and YANG, Y. T. Droplet impact on wetted structured surfaces. Applied Mathematics and Mechanics (English Edition), 43(3), 437–446 (2022) https://doi.org/10.1007/s10483-022-2820-5
Project supported by the National Natural Science Foundation of China (Nos. 11988102, 91848201, 11872004, and 11802004)
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Mohasan, M., Aqeel, A.B., Duan, H. et al. Droplet impact on wetted structured surfaces. Appl. Math. Mech.-Engl. Ed. 43, 437–446 (2022). https://doi.org/10.1007/s10483-022-2820-5
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DOI: https://doi.org/10.1007/s10483-022-2820-5