Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T09:21:19.923Z Has data issue: false hasContentIssue false
  • English
  • Français

On axisymmetric dynamic spin coating with a single drop of ethanol

Published online by Cambridge University Press:  08 November 2022

Yuming Pan ,
Zhibei Wang ,
Xinyan Zhao ,
Weiwei Deng Open the ORCID record for Weiwei Deng [Opens in a new window]  and
Huihui Xia Open the ORCID record for Huihui Xia [Opens in a new window]
Yuming Pan
Affiliation:
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Zhibei Wang
Affiliation:
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Xinyan Zhao
Affiliation:
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Weiwei Deng*
Affiliation:
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Huihui Xia*
Affiliation:
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing, Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
*
†Email addresses for correspondence: dengww@sustech.edu.cn, xiahh@sustech.edu.cn
†Email addresses for correspondence: dengww@sustech.edu.cn, xiahh@sustech.edu.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

We carried out experimental and numerical investigations on the axisymmetric spreading evolution of dynamic spin coating with a single drop of ethanol. The results show that the dynamic spreading process consists of two stages: inertial spreading stage and centrifugal thinning stage. These two stages are connected by a transient state in between characterized by the minimum contact line moving velocity. The Weber number determines the spreading in the first stage, similar to the case of the impact of a drop on a static substrate. The rotational Bond number has a marginal effect on the inertia spreading and the radius at the transient state. In the centrifugal thinning stage, the rotational Bond number dominates the flow while the effect of the Weber number is negligible.

JFM classification

Drops and Bubbles: Drops Geophysical and Geological Flows: Rotating flows Materials Processing Flows: Coating
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 951 , 25 November 2022 , A30
Check for updates
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

Alekseenko, S., Cherdantsev, A., Cherdantsev, M., Isaenkov, S., Kharlamov, S. & Markovich, D. 2012 Application of a high-speed laser-induced fluorescence technique for studying the three-dimensional structure of annular gas–liquid flow. Exp. Fluids 53, 77–89.Google Scholar
Arscott, S. 2020 The limits of edge bead planarization and surface levelling in spin-coated liquid films. J. Micromech. Microengng 30, 025003.Google Scholar
Attané, P., Girard, F. & Morin, V. 2007 An energy balance approach of the dynamics of drop impact on a solid surface. Phys. Fluids 19, 012101.CrossRefGoogle Scholar
Clanet, C., Béguin, C., Richard, D. & Quéré, D. 2004 Maximal deformation of an impacting drop. J. Fluid Mech. 517, 199–208.CrossRefGoogle Scholar
Craster, R.V. & Matar, O.K. 2009 Dynamics and stability of thin liquid films. Rev. Mod. Phys. 81, 1131–1198.Google Scholar
Emslie, A.G., Bonner, F.T. & Peck, L.G. 1958 Flow of a viscous liquid on a rotating disk. J. Appl. Phys. 29, 858–862.CrossRefGoogle Scholar
Frank, C.W., Rao, V., Despotopoulou, M.M., Pease, R.F.W., Hinsberg, W.D., Miller, R.D. & Rabolt, J.F. 1996 Structure in thin and ultrathin spin-cast polymer films. Science 273, 912–915.CrossRefGoogle ScholarPubMed
Fraysse, N. & Homsy, G.M. 1994 An experimental study of rivulet instabilities in centrifugal spin coating of viscous Newtonian and non-Newtonian fluids. Phys. Fluids 6, 1491–1504.Google Scholar
Gurrala, P., Katre, P., Balusamy, S., Banerjee, S. & Sahu, K.C. 2019 Evaporation of ethanol-water sessile droplet of different compositions at an elevated substrate temperature. Intl J. Heat Mass Transfer 145, 118770.Google Scholar
He, C., Xia, X. & Zhang, P. 2019 Non-monotonic viscous dissipation of bouncing droplets undergoing off-center collision. Phys. Fluids 31, 052004.Google Scholar
Hoffman, R.L. 1975 A study of the advancing interface. I. Interface shape in liquid–gas systems. J. Colloid Interface Sci. 50, 228–241.CrossRefGoogle Scholar
Huang, H.-M. & Chen, X.-P. 2018 Energetic analysis of drop's maximum spreading on solid surface with low impact speed. Phys. Fluids 30, 022106.Google Scholar
Josserand, C. & Thoroddsen, S.T. 2016 Drop impact on a solid surface. Annu. Rev. Fluid Mech. 48, 365–391.CrossRefGoogle Scholar
Kistler, S.F. 1993 Hydrodynamics of wetting. In Wettability (ed. J.C. Berg), pp. 311–429. Marcel Dekker.Google Scholar
Lawrence, C.J. & Zhou, W. 1991 Spin coating of non-Newtonian fluids. J. Non-Newtonian Fluid Mech. 39, 137–187.Google Scholar
Lee, J.B., Derome, D., Guyer, R. & Carmeliet, J. 2016 Modeling the maximum spreading of liquid droplets impacting wetting and nonwetting surfaces. Langmuir 32, 1299–1308.CrossRefGoogle ScholarPubMed
Li, J.Y., Yuan, X.F., Han, Q. & Xi, G. 2011 Impact patterns and temporal evolutions of water drops impinging on a rotating disc. Proc. Inst. Mech. Engrs C: J. Mech. Engng Sci. 226, 956–967.Google Scholar
Melo, F., Joanny, J.F. & Fauve, S. 1989 Fingering instability of spinning drops. Phys. Rev. Lett. 63, 1958–1961.Google ScholarPubMed
Middleman, S. 1987 The effect of induced air-flow on the spin coating of viscous liquids. J. Appl. Phys. 62, 2530–2532.CrossRefGoogle Scholar
Moghtadernejad, S., Jadidi, M., Johnson, Z., Stolpe, T. & Hanson, J. 2021 Droplet impact dynamics on an aluminum spinning disk. Phys. Fluids 33, 072103.CrossRefGoogle Scholar
Oron, A., Davis, S.H. & Bankoff, S.G. 1997 Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69, 931–980.CrossRefGoogle Scholar
Popinet, S. 2009 An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838–5866.CrossRefGoogle Scholar
Popinet, S. 2015 A quadtree-adaptive multigrid solver for the Serre–Green–Naghdi equations. J. Comput. Phys. 302, 336–358.CrossRefGoogle Scholar
Popinet, S., et al. 2013–2021 a Azimuthal Velocity for Axisymmetric Flows. Available at: http://www.basilisk.fr/src/navier-stokes/swirl.h [Accessed 8 October 2021].Google Scholar
Popinet, S., et al. 2013–2021 b Basilisk. Available at: http://basilisk.fr [Accessed 8 October 2021].Google Scholar
Primkulov, B.K., Pahlavan, A.A., Bourouiba, L., Bush, J.W.M. & Juanes, R. 2020 Spin coating of capillary tubes. J. Fluid Mech. 886, A30.Google Scholar
Roisman, I.V. 2009 Inertia dominated drop collisions. II. An analytical solution of the Navier–Stokes equations for a spreading viscous film. Phys. Fluids 21, 052104.Google Scholar
Sahoo, S., Orpe, A.V. & Doshi, P. 2018 Spreading dynamics of superposed liquid drops on a spinning disk. Phys. Fluids 30, 012110.CrossRefGoogle Scholar
Sanjay, V., Lohse, D. & Jalaal, M. 2021 Bursting bubble in a viscoplastic medium. J. Fluid Mech. 922, A2.CrossRefGoogle Scholar
Schwartz, L.W. & Roy, R.V. 2004 Theoretical and numerical results for spin coating of viscous liquids. Phys. Fluids 16, 569–584.CrossRefGoogle Scholar
Soto-Montero, T., Soltanpoor, W. & Morales-Masis, M. 2020 Pressing challenges of halide perovskite thin film growth. APL Mater. 8, 110903.CrossRefGoogle Scholar
Srivastava, T. & Kondaraju, S. 2020 Analytical model for predicting maximum spread of droplet impinging on solid surfaces. Phys. Fluids 32, 092103.CrossRefGoogle Scholar
Tsai, P.-H. & Wang, A.-B. 2019 Classification and prediction of dripping drop size for a wide range of nozzles by wetting diameter. Langmuir 35, 4763–4775.CrossRefGoogle ScholarPubMed
Tyona, M. 2013 A theoritical study on spin coating technique. Adv. Mater. Res. 2, 195.CrossRefGoogle Scholar
Wang, M.-W. & Chou, F.-C. 2001 Fingering instability and maximum radius at high rotational Bond number. J. Electrochem. Soc. 148, G283.CrossRefGoogle Scholar
Wang, Z., Zhang, C., Xia, H., Xie, Q. & Deng, W. 2022 Axisymmetric thin film flow on a flat disk foil subject to intense radial electric fields. Phys. Fluids 34, 012109.CrossRefGoogle Scholar
Yang, F., Kang, D.-W. & Kim, Y.-S. 2017 Improved interface of ZnO/CH3NH3PbI3 by a dynamic spin-coating process for efficient perovskite solar cells. RSC Adv. 7, 19030–19038.CrossRefGoogle Scholar
Yang, W., Delbende, I., Fraigneau, Y. & Martin Witkowski, L. 2020 Large axisymmetric surface deformation and dewetting in the flow above a rotating disk in a cylindrical tank: spin-up and permanent regimes. Phys. Rev. Fluids 5, 044801.CrossRefGoogle Scholar
Ye, H.Y., Yang, L.J. & Fu, Q.F. 2016 Instability of viscoelastic compound jets. Phys. Fluids 28, 043101.CrossRefGoogle Scholar
Yue, P. 2020 Thermodynamically consistent phase-field modelling of contact angle hysteresis. J. Fluid Mech. 899, A15.CrossRefGoogle Scholar
Yonemoto, Y. & Kunugi, T. 2017 Analytical consideration of liquid droplet impingement on solid surfaces. Sci. Rep. 7, 2362.CrossRefGoogle ScholarPubMed