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How does the electric field make a droplet exhibit the ejection and rebound behaviour on a superhydrophobic surface?

Published online by Cambridge University Press:  28 April 2022

Ye Tian ,
Hong Wang Open the ORCID record for Hong Wang [Opens in a new window] ,
Xin Zhou ,
Zhenting Xie ,
Xun Zhu Open the ORCID record for Xun Zhu [Opens in a new window] ,
Rong Chen Open the ORCID record for Rong Chen [Opens in a new window] ,
Yudong Ding Open the ORCID record for Yudong Ding [Opens in a new window]  and
Qiang Liao Open the ORCID record for Qiang Liao [Opens in a new window]
Ye Tian
Affiliation:
Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Hong Wang*
Affiliation:
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing 400030, PR China Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Xin Zhou
Affiliation:
Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Zhenting Xie
Affiliation:
Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Xun Zhu
Affiliation:
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing 400030, PR China Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Rong Chen
Affiliation:
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing 400030, PR China Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Yudong Ding
Affiliation:
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing 400030, PR China Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
Qiang Liao
Affiliation:
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing 400030, PR China Institute of Engineering Thermophysics, School of Energy and Power Engineering, Chongqing University, Chongqing 400044, PR China
*
† Email address for correspondence: hongwang@cqu.edu.cn
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Abstract

A droplet impinging on a superhydrophobic substrate in an electric field is an important process in droplet manipulation and electrostatic spraying. Here, the entire impinging dynamic of the droplet in a vertical electric field is studied by a visualization experiment and numerical simulation with OpenFOAM. We investigate the effect of an electrostatic force on droplet impact in depth, where four ejection modes and three rebound modes are found experimentally. In particular, the filamentous ejecting phenomenon occurs after a droplet impinging on a superhydrophobic substrate is first discovered. In the numerical simulation, the strong coupling between the dynamic distribution of the interface electric charge and the evolution of the droplet profile can lead to different ejection modes, and the different ejection behaviours are caused by the combined effects of electrostatic pressure, capillary pressure, dynamic pressure and static pressure on the droplet apex. A charge scaling law for the ejection droplets is proposed. Furthermore, a set of theoretical models is established, which can successfully predict the threshold electric capillary number for different droplet ejection modes. The results reveal some important characteristics for a droplet impinging on a superhydrophobic surface in an electric field, which could facilitate the design of electrically operated droplet equipment and guide the safe and stable operation of the device.

JFM classification

Drops and Bubbles: Breakup/coalescence Drops and Bubbles: Electrohydrodynamic effects Drops and Bubbles: Drops
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 941 , 25 June 2022 , A18
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Albadawi, A., Donoghue, D.B., Robinson, A.J., Murray, D.B. & Delaure, Y.M.C. 2013 Influence of surface tension implementation in volume of fluid and coupled volume of fluid with level set methods for bubble growth and detachment. Intl J. Multiphase Flow 53, 11–28.CrossRefGoogle Scholar
Aouabed, F., Bayadi, A. & Boudissa, R. 2017 Flashover voltage of silicone insulating surface covered by water droplets under AC voltage. Elec. Power Syst. Res. 143, 66–72.CrossRefGoogle Scholar
Bird, J.C., Dhiman, R., Kwon, H.M. & Varanasi, K.K. 2014 Reducing the contact time of a bouncing drop. Nature 503 (7476), 385–388.CrossRefGoogle Scholar
Chae, J.B., Lee, S.J., Yang, J. & Chung, S.K. 2015 3D electrowetting-on-dielectric actuation. Sens. Actuator A-Phys. 234, 331–338.CrossRefGoogle Scholar
Chu, Z., Jiao, W., Huang, Y., Chen, L., Zheng, Y., Wang, R. & He, X. 2020 Directional rebound control of droplets on low-temperature regular and irregular wrinkled superhydrophobic surfaces. Appl. Surf. Sci. 530, 147099.CrossRefGoogle Scholar
Collins, R.T., Sambath, K., Harris, M.T. & Basaran, O.A. 2013 Universal scaling laws for the disintegration of electrified drops. Proc. Natl Acad. Sci. USA 110 (13), 4905–4910.CrossRefGoogle ScholarPubMed
Damak, M. & Varanasi, K.K. 2018 Electrostatically driven fog collection using space charge injection. Sci. Adv. 4 (6), eaao5323.CrossRefGoogle ScholarPubMed
Dastourani, H., Jahannama, M.R. & Eslami-Majd, A. 2018 A physical insight into electrospray process in cone-jet mode: role of operating parameters. Intl J. Heat Fluid Flow 70, 315–335.CrossRefGoogle Scholar
Farhangi, M.M., Graham, P.J., Choudhury, N.R. & Dolatabadi, A. 2012 Induced detachment of coalescing droplets on superhydrophobic surfaces. Langmuir 28, 1290–1303.CrossRefGoogle ScholarPubMed
Ferrera, C., Lopez-Herrera, J.M., Herrada, M.A., Montanero, J.M. & Acero, A.J. 2013 Dynamical behavior of electrified pendant drops. Phys. Fluids 25 (1), 012104.CrossRefGoogle Scholar
Ganan-Calvo, A.M., Lopez-Herrera, J.M., Rebollo-Munoz, N. & Montanero, J.M. 2016 The onset of electrospray: the universal scaling laws of the first ejection. Sci. Rep. 6, 32357.CrossRefGoogle ScholarPubMed
Hao, T.T., Wang, K., Chen, Y.S., Ma, X.H., Lan, Z. & Bai, T. 2018 Multiple bounces and oscillatory movement of a microdroplet in superhydrophobic minichannels. Ind. Engng Chem. Res. 57 (12), 4452–4461.CrossRefGoogle Scholar
He, T.Y. & Jokerst, J.V. 2020 Structured micro/nano materials synthesizedviaelectrospray: a review. Biomaterials Sci. 8 (20), 5555–5573.CrossRefGoogle ScholarPubMed
Higashiyama, Y. & Saito, S. 2013 Negative corona discharge from a water droplet under the pulsating DC field. J. Electrostat. 71 (3), 499–503.CrossRefGoogle Scholar
Ilyas, M.A. & Swingler, J. 2015 Piezoelectric energy harvesting from raindrop impacts. Energy 90, 796–806.CrossRefGoogle Scholar
Jayasinghe, S.N. & Edirisinghe, M.J. 2005 Jet break-up in nano-suspensions during electrohydrodynamic atomization in the stable cone-jet mode. J. Nanosci. Nanotechnol. 5 (6), 923–926.CrossRefGoogle ScholarPubMed
Jeong, J.H., Choi, H., Park, K., Kim, H., Choi, J., Park, I. & Lee, S.S. 2020 Polymer micro-atomizer for water electrospray in the cone jet mode. Polymer 194, 122405.CrossRefGoogle Scholar
Jiang, M.C., Zhou, B. & Wang, X.C. 2018 Comparisons and validations of contact angle models. Intl J. Hydrog. Energy 43 (12), 6364–6378.CrossRefGoogle Scholar
Jones, J.M., Moeller, T.M., Costa, L., Canfield, B.K. & Terekhov, A. 2020 Numerical investigation of the effects of geometry and materials on the onset voltage of electrospray emitters. J. Electrostat. 108, 103487.CrossRefGoogle Scholar
Kim, J.G., Im, D.J., Jung, Y.M. & Kang, I.S. 2007 Deformation and motion of a charged conducting drop in a dielectric liquid under a nonuniform electric field. J. Colloid Interface Sci. 310 (2), 599–606.CrossRefGoogle Scholar
Lee, C., Nam, Y., Lastakowski, H., Hur, J.I., Shin, S., Biance, A.L., Pirat, C., Kim, C.J. & Ybert, C. 2015 Two types of Cassie-to-Wenzel wetting transitions on superhydrophobic surfaces during drop impact. Soft Matt. 11 (23), 4592–4599.CrossRefGoogle ScholarPubMed
Li, Y.F., Jin, H.Y., Nie, S.C., Zhang, P. & Gao, N.K. 2017 Dynamic behavior of water droplets and flashover characteristics on a superhydrophobic silicone rubber surface. Appl. Phys. Lett. 110 (20), 201602.CrossRefGoogle Scholar
Li, B., Lin, S., Wang, Y., Yuan, Q., Joo, S.W. & Chen, L. 2020 Promoting rebound of impinging viscoelastic droplets on heated superhydrophobic surfaces. New J. Phys. 22 (12), 123001.CrossRefGoogle Scholar
Lopez-Herrera, J.M., Popinet, S. & Herrada, M.A. 2011 A charge-conservative approach for simulating electrohydrodynamic two-phase flows using volume-of-fluid. J. Comput. Phys. 230 (5), 1939–1955.CrossRefGoogle Scholar
Lozano, P., Martinez-Sanchez, M. & Lopez-Urdiales, J.M. 2004 Electrospray emission from nonwetting flat dielectric surfaces. J. Colloid Interface Sci. 276 (2), 392–399.CrossRefGoogle ScholarPubMed
Luo, X.M., Huang, X., Yan, H.P., Yang, D.H., Wang, J. & He, L.M. 2018 Breakup modes and criterion of droplet with surfactant under direct current electric field. Chem. Engng Res. Des. 132, 822–830.CrossRefGoogle Scholar
Mertaniemi, H., Forchheimer, R., Ikkala, O. & Ras, R.H.A. 2012 Rebounding droplet-droplet collisions on superhydrophobic surfaces: from the phenomenon to droplet logic. Adv. Mater. 24 (42), 5738–5743.CrossRefGoogle ScholarPubMed
Miljkovic, N., Preston, D.J., Enright, R. & Wang, E.N. 2013 Electrostatic charging of jumping droplets. Nat. Commun. 4, 2517.CrossRefGoogle ScholarPubMed
Miljkovic, N., Preston, D.J., Enright, R. & Wang, E.N. 2014 Jumping-droplet electrostatic energy harvesting. Appl. Phys. Lett. 105 (1), 013111.CrossRefGoogle Scholar
Mohammadi, K., Movahhedy, M.R. & Khodaygan, S. 2019 A multiphysics model for analysis of droplet formation in electrohydrodynamic 3D printing process. J. Aerosol Sci. 135, 72–85.CrossRefGoogle Scholar
Mozaffari, S., Ghasemi, H., Tchoukov, P., Czarnecki, J. & Nazemifard, N. 2021 Lab-on-a-chip systems in asphaltene characterization: a review of recent advances. Energy Fuels 35 (11), 9080–9101.CrossRefGoogle Scholar
Nauruzbayeva, J., Sun, Z.H., Gallo, A., Ibrahim, M., Santamarina, J.C. & Mishra, H. 2020 Electrification at water-hydrophobe interfaces. Nat. Commun. 11 (1), 5285.CrossRefGoogle ScholarPubMed
Rahman, M.K., Phung, T.H., Oh, S., Kim, S.H., Ng, T.N. & Kwon, K.S. 2021 High-efficiency electrospray deposition method for nonconductive substrates: applications of superhydrophobic coatings. ACS Appl. Mater. Interfaces 13 (15), 18227–18236.CrossRefGoogle ScholarPubMed
Rubio, M., Sadek, S.H., Ganan-Calvo, A.M. & Montanero, J.M. 2021 Diameter and charge of the first droplet emitted in electrospray. Phys. Fluids 33, 032002.CrossRefGoogle Scholar
Saville, D.A. 1997 Electrohydrodynamics: the Taylor-Melcher leaky dielectric model. Annu. Rev. Fluid Mech. 29, 27–64.CrossRefGoogle Scholar
Solomatin, Y., Shlegel, N.E. & Strizhak, P.A. 2019 Atomization of promising multicomponent fuel droplets by their collisions. Fuel 255, 115751.CrossRefGoogle Scholar
Sun, H.Z., Ren, Y.K., Tao, Y., Jiang, T.Y. & Jiang, H.Y. 2021 Flexible online in-droplet cell/synthetic particle concentration utilizing alternating current electrothermal-flow field-effect transistor dagger. Lab on a Chip 21 (10), 1987–1997.CrossRefGoogle Scholar
Tomar, G., Gerlach, D., Biswas, G., Alleborn, N., Sharma, A., Durst, F., Welch, S.W.J. & Delgado, A. 2007 Two-phase electrohydrodynamic simulations using a volume-of-fluid approach. J. Comput. Phys. 227 (2), 1267–1285.CrossRefGoogle Scholar
Ura, D.P., Knapczyk, K.J., Szewczyk, P.K., Sroczyk, E.A., Busolo, T., Marzec, M.M., Bernasik, A., Kar, N.S. & Stachewicz, U. 2021 Surface potential driven water harvesting from fog. ACS Nano 15 (5), 8848–8859.CrossRefGoogle ScholarPubMed
Wang, X., Lin, D.J., Wang, Y.B., Gao, S.R., Yang, Y.R. & Wang, X.D. 2020 Rebound dynamics of two droplets simultaneously impacting a flat superhydrophobic surface. AIChE J. 66 (9), e16647.CrossRefGoogle Scholar
Wang, H., Wu, Q., Okagaki, J., Alizadeh, A., Shamim, J.A., Hsu, W.L. & Daiguji, H. 2021 Bouncing behavior of a water droplet on a super-hydrophobic surface near freezing temperatures. Intl J. Heat Mass Transfer 174, 121304.CrossRefGoogle Scholar
Yarin, A.L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech. 38, 159–192.CrossRefGoogle Scholar
Yuan, Z., Matsumoto, M. & Kurose, R. 2021 Directional rebounding of a droplet impinging hydrophobic surfaces with roughness gradients. Intl J. Multiphase Flow 138, 103611.CrossRefGoogle Scholar
Zhang, Q.M., Li, D., Cao, X.K., Gu, H.X. & Deng, W. 2019 Self-assembled microgels arrays for electrostatic concentration and surface-enhanced raman spectroscopy detection of charged pesticides in seawater. Anal. Chem. 91 (17), 11192–11199.CrossRefGoogle Scholar
Zhu, Y.Q. & Chiarot, P.R. 2021 Surface charge accumulation and decay in electrospray printing. J. Phys. D 54 (7), 075301.CrossRefGoogle Scholar
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