DOI: 10.1063/1.450065. Nonlinear rupture of thin free liquid films

Nonlinear rupture of thin free liquid films

10.1063/1.450065

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We study nonlinear effects on film rupture by investigating the stability of a viscous free film to finite amplitude disturbances. Until now, theoretical results were obtained through a linear stability analysis for infinitesimal perturbations, which is only valid for a short time since disturbances grow to finite size at rupture. The liquid film considered is uncharged, nondraining, and laterally unbounded. The dynamics of the film is described by the Navier–Stokes equations where attractive van der Waals forces are operative, with suitable boundary conditions at the two surfaces (in the particular case of tangentially immobile surfaces). A nonlinear evolution equation describing the variation of the film thickness along the lateral space dimension, is derived for the squeezing mode which is characterized by symmetrical surface waves. This highly nonlinear partial differential equation is solved numerically and rupture characteristics are predicted and compared to experiments. It is shown that the nonlinearities significantly accelerate the rupture process.

Bibliography

PrÃ©vost, M., & Gallez, D. (1986). Nonlinear rupture of thin free liquid films. The Journal of Chemical Physics, 84(7), 4043â4048.

Authors 2

Martine Prévost (first)
Dominique Gallez (additional)

References 22 Referenced 51

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10.1016/0009-2509(69)87006-5 / Chem. Eng. Sci. (1969)
10.1016/0005-2736(74)90175-8 / Biochim. Biophys. Acta (1974)
10.1242/jcs.36.1.85 / J. Cell. Sci. (1979)
{'key': '2024021003071577800_r5', 'first-page': '76', 'volume': '65', 'year': '1962', 'journal-title': 'Proc. K. Ned. Akad. Wet. Ser. B'} / Proc. K. Ned. Akad. Wet. Ser. B (1962)
10.1063/1.446988 / J. Chem. Phys. (1984)
10.1039/df9664200023 / Discuss. Faraday Soc. (1966)
10.1063/1.1669841 / J. Chem. Phys. (1968)
{'key': '2024021003071577800_r9', 'first-page': '109', 'volume': '73', 'year': '1970', 'journal-title': 'Proc. K. Ned. Akad. Wet. Ser. B'} / Proc. K. Ned. Akad. Wet. Ser. B (1970)
{'key': '2024021003071577800_r9a', 'first-page': '124', 'volume': '73', 'year': '1970', 'journal-title': 'Proc. K. Ned. Akad. Wet. Ser. B'} / Proc. K. Ned. Akad. Wet. Ser. B (1970)
10.1039/f29747000132 / J. Chem. Soc. Faraday Trans. 2 (1974)
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{'key': '2024021003071577800_r12', 'first-page': '517', 'volume': '280', 'year': '1984', 'journal-title': 'J. Chem. Soc. Faraday Trans.'} / J. Chem. Soc. Faraday Trans. (1984)
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10.1080/00986447508960444 / Chem. Eng. Commun. (1975)
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10.1080/00986447608960448 / Chem. Eng. Commun. (1976)
10.1016/0021-9797(83)90094-2 / J. Colloid Interface Sci. (1983)
10.1016/0039-6028(78)90075-4 / Surf. Sci. (1978)
{'key': '2024021003071577800_r21'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 11:25 p.m.)
Indexed	1 month, 1 week ago (July 19, 2025, 11:44 p.m.)
Issued	39 years, 5 months ago (April 1, 1986)
Published	39 years, 5 months ago (April 1, 1986)
Published Print	39 years, 5 months ago (April 1, 1986)

Funders 0

None

BibTeX

@article{Pr_vost_1986, title={Nonlinear rupture of thin free liquid films}, volume={84}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.450065}, DOI={10.1063/1.450065}, number={7}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Prévost, Martine and Gallez, Dominique}, year={1986}, month=apr, pages={4043–4048} }

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