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Surface nanodrops and nanobubbles: a classical density functional theory study

Published online by Cambridge University Press:  03 March 2021

Peter Yatsyshin Open the ORCID record for Peter Yatsyshin [Opens in a new window]  and
Serafim Kalliadasis Open the ORCID record for Serafim Kalliadasis [Opens in a new window]
Peter Yatsyshin*
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
Serafim Kalliadasis
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
*
Email address for correspondence: p.yatsyshin@imperial.ac.uk
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Abstract

We present a fully microscopic study of the interfacial thermodynamics of nanodrops and nanobubbles, adsorbed on flat substrates with first-order wetting. We show that both nanodrops and nanobubbles are thermodynamically accessible in regions, demarcated by the spinodals of planar wetting films, with nanobubbles occupying a relatively bigger portion of the phase space. While nanodrops can be described as near-spherical caps of Laplace radius, the radius of nanobubbles is very different from the Laplace value. Additionally, nanobubbles are accompanied by a thin gas film adsorbed on the substrate. By computing the interface binding potential, we relate the sphericity of nanodrops to the thin–thick liquid film coexistence (prewetting transition), whereas nanobubble shapes are determined only by the decay of the fluid–substrate forces.

JFM classification

Mathematical Foundations: General fluid mechanics Micro-/Nano-fluid dynamics: Non-continuum effects

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 913 , 25 April 2021 , A45
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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Footnotes

†

Present address: The Alan Turing Institute, 2QR, 96 Euston Road, London NW1 2DB, UK.

References

REFERENCES

Bonn, D. & Ross, D. 2001 Wetting transitions. Rep. Prog. Phys. 64, 1085–1163.CrossRefGoogle Scholar
Dietrich, S. 1988 Wetting phenomena. In Phase Transitions and Critical Phenomena (ed. C. Domb & J.L. Lebowitz), vol. 12. Academic Press.Google Scholar
Engelnkemper, S. & Thiele, U. 2019 The collective behaviour of ensembles of condensing liquid drops on heterogeneous inclined substrates. Europhys. Lett. 127, 54002.CrossRefGoogle Scholar
Evans, R. 1990 Microscopic theories of simple fluids and their interfaces. In Les Houches 1988. Liquids at Interfaces (ed. J. Charvolin, J.F. Joanny & J. Zinn-Justin), p. 1. North-Holland.Google Scholar
Hauge, E.H. 1992 Macroscopic theory of wetting in a wedge. Phys. Rev. A 46, 4994–4998.CrossRefGoogle Scholar
Henderson, D. 2011 Disjoining pressure of planar adsorbed films. Eur. Phys. J.: Spec. Top. 197, 115.Google Scholar
Hughes, A.P., Thiele, U. & Archer, A.J. 2017 Influence of the fluid structure on the binding potential: comparing liquid drop profiles from density functional theory with results from mesoscopic theory. J. Chem. Phys. 146 (6), 064705.CrossRefGoogle ScholarPubMed
Kirkinis, E. & Davis, S.H. 2013 Hydrodynamic theory of liquid slippage on a solid substrate near a moving contact line. Phys. Rev. Lett. 110, 234503.CrossRefGoogle Scholar
Lohse, D. & Zhang, X. 2015 Surface nanobubbles and nanodroplets. Rev. Mod. Phys. 87, 981–1035.CrossRefGoogle Scholar
Lutsko, J.F. 2010 Recent developments in classical density functional theory. In Advances in Chemical Physics (ed. Stuart A. Rice), vol. 144, pp. 1–92. John Wiley & Sons.CrossRefGoogle Scholar
MacDowell, L.G. 2011 Computer simulation of interface potentials: towards a first principle description of complex interfaces? Eur. Phys. J.: Spec. Top. 197 (1), 131–145.Google Scholar
MacDowell, L.G., Benet, J., Katcho, N.A. & Palanco, J.M.G. 2014 Disjoining pressure and the film-height-dependent surface tension of thin liquid films: new insight from capillary wave fluctuations. Adv. Colloid Interface Sci. 206, 150–171.CrossRefGoogle ScholarPubMed
Nold, A., Sibley, D.N., Goddard, B.D. & Kalliadasis, S. 2014 Fluid structure in the immediate vicinity of an equilibrium three-phase contact line and assessment of disjoining pressure models using density functional theory. Phys. Fluids 26 (7), 072001.CrossRefGoogle Scholar
Pereira, A. & Kalliadasis, S. 2012 Equilibrium gas-liquid-solid contact angle from density-functional theory. J. Fluid Mech. 692, 53–77.CrossRefGoogle Scholar
Qian, J., Arends, G.F. & Zhang, X. 2019 Surface nanodroplets: formation, dissolution, and applications. Langmuir 35, 12583–12596.CrossRefGoogle ScholarPubMed
Rascón, C. & Parry, A.O. 2000 Geometry-dominated fluid adsorption on sculpted solid substrates. Nature 407, 986–989.CrossRefGoogle ScholarPubMed
Roth, R. 2010 Fundamental measure theory for hard-sphere mixtures: a review. J. Phys.: Condens. Matter 22, 063102.Google ScholarPubMed
Rowlinson, J.S. & Widom, B. 1982 Molecular Theory of Capillarity. Dover.Google Scholar
Saam, W.F. 2009 Wetting, capillary condensation and more. J. Low Temp. Phys. 157, 77–100.CrossRefGoogle Scholar
Sullivan, D.E. & Telo da Gama, M.M. 1986 Wetting transitions and multilayer adsorption at fluid interfaces. In Fluid Interfacial Phenomena (ed. C.A. Croxton), p. 45. Wiley.Google Scholar
Svetovoy, V.B., Devic, I., Snoeijer, J.H. & Lohse, D. 2016 Effect of disjoining pressure on surface nanobubbles. Langmuir 32, 11188–11196.CrossRefGoogle ScholarPubMed
Theodorakis, P.E. & Che, Z. 2017 Formation, dissolution and properties of surface nanobubbles. J. Colloid Interface Sci. 487, 123–129.Google Scholar
Theodorakis, P.E. & Che, Z. 2019 Surface nanobubbles: theory, simulation, and experiment. A review. Adv. Colloid Interface Sci. 272, 101995.CrossRefGoogle ScholarPubMed
Wu, J. & Li, Z. 2007 Density-functional theory for complex fluids. Annu. Rev. Phys. Chem. 58, 85–112.CrossRefGoogle ScholarPubMed
Wu, Q. & Wong, H. 2004 A slope-dependent disjoining pressure for non-zero contact angles. J. Fluid Mech. 506, 157–185.CrossRefGoogle Scholar
Yatsyshin, P. & Kalliadasis, S. 2016 Mean-field phenomenology of wetting in nanogrooves. Mol. Phys. 114, 2688–2699.CrossRefGoogle Scholar
Yatsyshin, P., Parry, A.O. & Kalliadasis, S. 2016 Complete prewetting. J. Phys.: Condens. Matter 28, 275001.Google ScholarPubMed
Yatsyshin, P., Parry, A.O., Rascón, C. & Kalliadasis, S. 2017 Classical density functional study of wetting transitions on nanopatterned surfaces. J. Phys.: Condens. Matter 29, 094001.Google ScholarPubMed
Yatsyshin, P., Savva, N. & Kalliadasis, S. 2015 Density functional study of condensation in capped capillaries. J. Phys.: Condens. Matter 27, 275104.Google ScholarPubMed
Yin, H., Sibley, D.N. & Archer, A.J. 2019 Binding potentials for vapour nanobubbles on surfaces using density functional theory. J. Phys.: Condens. Matter 31 (31), 315102.Google ScholarPubMed