Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-22T20:18:33.843Z Has data issue: false hasContentIssue false

Lateral motion of a solid with a heterogeneous wettability surface driven by impacting droplets

Published online by Cambridge University Press:  08 August 2022

Tongwei Zhang
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, PR China
Jie Wu*
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China Key Laboratory of Flight Techniques and Flight Safety, CAAC, Nanchang Road 46, Guanghan, Sichuan 618300, PR China Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China
Xingjian Lin
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu 210016, PR China
*
 Email address for correspondence: [email protected]

Abstract

When a droplet impacts a solid with a heterogeneous wettability surface, the generated asymmetric forces can manipulate the droplet, and its counterforces can also actuate the solid in theory. In this study, a water droplet impacting a movable hydrophobic substrate, which is decorated with a hydrophilic stripe and restrained by two linear dampers, is studied numerically. After preliminarily checking the effects of the solid mass and damping coefficient of linear dampers, the dynamic mechanisms of solid motion are explored by analysing the variations in the lateral force and instantaneous displacement distance of the solid. After that, the effects of the impact parameters on the solid lateral motion are mainly investigated, including the initial droplet diameter, impact velocity and offset distance between the impact point and hydrophilic stripe. On this basis, the reciprocating solid motion under successive droplet impacts is studied, and periodic motion with different amplitudes can be realized under appropriate impact conditions. The obtained results can shed some fresh insight into the potential applications of droplet–solid interactions, which are valuable for the collection and utilization of energy from natural environments.

JFM classification

Type
JFM Papers
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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.)

References

Bixler, G.D. & Bhushan, B. 2014 Rice- and butterfly-wing effect inspired self-cleaning and low drag micro/nanopatterned surfaces in water, oil, and air flow. Nanoscale 6, 7696.10.1039/C3NR04755ECrossRefGoogle ScholarPubMed
Chu, F., Luo, J., Hao, C., Zhang, J., Wu, X. & Wen, D. 2020 Directional transportation of impacting droplets on wettability-controlled surfaces. Langmuir 36, 58555862.10.1021/acs.langmuir.0c00601CrossRefGoogle ScholarPubMed
Ding, H., Spelt, P.D.M. & Shu, C. 2007 Diffuse interface model for incompressible two-phase flows with large density ratios. J. Comput. Phys. 226, 20782095.10.1016/j.jcp.2007.06.028CrossRefGoogle Scholar
Göhl, J., Mark, A., Sasic, S. & Edelvik, F. 2018 An immersed boundary based dynamic contact angle framework for handling complex surfaces of mixed wettabilities. Intl J. Multiphase Flow 109, 164177.10.1016/j.ijmultiphaseflow.2018.08.001CrossRefGoogle Scholar
Hoffman, R.L. 1975 A study of the advancing interface. I. Interface shape in liquid-gas systems. J. Colloid Interface Sci. 50, 228241.CrossRefGoogle Scholar
Jasak, H. 1996 Error analysis and estimation for the finite volume method with applications to fluid flows. PhD Thesis, Imperial College of Science, Technology and Medicine.Google Scholar
Jellard, S.C.J., Pu, S.H., Chen, S., Yao, K. & White, N.M. 2019 Water droplet impact energy harvesting with P(VDF-TrFE) piezoelectric cantilevers on stainless steel substrates. Smart Mater. Struct. 28, 095002.10.1088/1361-665X/ab2db2CrossRefGoogle Scholar
Josserand, C. & Thoroddsen, S.T. 2016 Drop impact on a solid surface. Annu. Rev. Fluid Mech. 48, 365391.CrossRefGoogle Scholar
Kim, J. 2005 A continuous surface tension force formulation for diffuse-interface models. J. Comput. Phys. 204, 784804.10.1016/j.jcp.2004.10.032CrossRefGoogle Scholar
Kistler, S.F. 1993 Hydrodynamics of wetting. In Wettability (ed. J.C. Berg), pp. 311–430. Marcel Dekker.Google Scholar
Li, H., Fang, W., Li, Y., Yang, Q., Li, M., Li, Q., Feng, X.Q. & Song, Y. 2019 Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces. Nat. Commun. 10, 950.10.1038/s41467-019-08919-2CrossRefGoogle ScholarPubMed
Li, Z., Kong, Q., Ma, X., Zang, D., Guan, X. & Ren, X. 2017 Dynamic effects and adhesion of water droplet impact on hydrophobic surfaces: bouncing or sticking. Nanoscale 9, 82498255.CrossRefGoogle ScholarPubMed
Liu, X., Zhang, X. & Min, J. 2019 a Spreading of droplets impacting different wettable surfaces at a Weber number close to zero. Chem. Engng Sci. 207, 495503.10.1016/j.ces.2019.06.058CrossRefGoogle Scholar
Liu, X., Zhang, X. & Min, J. 2019 b Maximum spreading of droplets impacting spherical surfaces. Phys. Fluids 31, 092102.Google Scholar
Lu, Y., Sathasivam, S., Song, J., Crik, C.R., Carmalt, C.J. & Parkin, I.P. 2015 Robust self-cleaning surfaces that function when exposed to either air or oil. Science 347, 11321135.10.1126/science.aaa0946CrossRefGoogle ScholarPubMed
Lv, J., Song, Y., Jiang, L. & Wang, J. 2014 Bio-inspired strategies for anti-icing. ACS Nano 8, 31523169.CrossRefGoogle ScholarPubMed
Qi, W. & Weisensee, P.B. 2020 Dynamic wetting and heat transfer during droplet impact on bi-phobic wettability-patterned surfaces. Phys. Fluids 32, 067110.CrossRefGoogle Scholar
Russo, A., Icardi, M., Elsharkawy, M., Ceglia, D., Asinari, P. & Megaridis, C.M. 2020 Numerical simulation of droplet impact on wettability-patterned surfaces. Phys. Rev. Fluids 5, 074002.CrossRefGoogle Scholar
Schutzius, T.M., Graeber, G., Elsharkawy, M., Oreluk, J. & Megaridis, C.M. 2014 Morphing and vectoring impacting droplets by means of wettability-engineered surfaces. Sci. Rep. 4, 7029.CrossRefGoogle ScholarPubMed
Song, D., Song, B.W., Hu, H.B., Du, X.S. & Zhou, F. 2015 Selectively splitting a droplet using superhydrophobic stripes on hydrophilic surfaces. Phys. Chem. Chem. Phys. 17, 1380013803.10.1039/C5CP01530HCrossRefGoogle ScholarPubMed
Vaikuntanathan, V., Kannan, R. & Sivakumar, D. 2010 Impact of water drops onto the junction of a hydrophobic texture and a hydrophilic smooth surface. Colloids Surf. A 369, 6574.CrossRefGoogle Scholar
van der Waals, J.D. 1979 The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. J. Stat. Phys. 20, 200244.CrossRefGoogle Scholar
Weisensee, P.B., Tian, J., Miljkovic, N. & King, W. 2016 Water droplet impact on elastic superhydrophobic surfaces. Sci. Rep. 6, 30328.CrossRefGoogle ScholarPubMed
Xie, P., Ding, H., Ingham, D.B., Ma, L. & Pourkashanian, M. 2020 Analysis and prediction of the gas-liquid interfacial area for droplets impact on solid surfaces. Appl. Therm. Engng 178, 115583.10.1016/j.applthermaleng.2020.115583CrossRefGoogle Scholar
Xu, W.H., et al. 2020 A droplet-based electricity generator with high instantaneous power density. Nature 578, 392396.CrossRefGoogle ScholarPubMed
Yuan, Z., Matsumoto, M. & Kurose, R. 2020 Directional migration of an impinging droplet on a surface with wettability difference. Phys. Rev. Fluids 5, 113605.CrossRefGoogle Scholar
Zhang, T., Wu, J. & Lin, X. 2020 An improved diffuse interface method for three-dimensional multiphase flows with complex interface deformation. Intl J. Numer. Meth. Fluids 92, 976991.10.1002/fld.4814CrossRefGoogle Scholar
Zhang, T., Wu, J. & Lin, X. 2021 Lateral motion of a droplet impacting on a wettability-patterned surface: numerical and theoretical studies. Soft Matter 17, 724737.CrossRefGoogle ScholarPubMed
Zhang, T., Wu, J. & Lin, X. 2022 Scaling laws for the droplet rebound with lateral motion after impacting on heterogeneous surfaces. Intl J. Multiphase Flow 148, 103960.CrossRefGoogle Scholar
Zhao, Z., Li, H., Hu, X., Li, A., Cai, Z., Huang, Z., Su, M., Li, F., Li, M. & Song, Y. 2019 Steerable droplet bouncing for precise materials transportation. Adv. Mater. Interfaces 6, 1901033.CrossRefGoogle Scholar
Zhao, Z., Li, H., Li, A., Fang, W., Cai, Z., Li, M., Feng, X. & Song, Y. 2021 Breaking the symmetry to suppress the Plateau-Rayleigh instability and optimize hydropower utilization. Nat. Commun. 12, 6899.CrossRefGoogle ScholarPubMed

Zhang et al. supplementary movie

The reciprocating motion of solid under the successive droplet impact

Download Zhang et al. supplementary movie(Video)
Video 922 KB