Publication: Stokes theory of thin-film rupture
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2020-01-06
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American Physical Society (APS)
Abstract
The structure of the
ow induced by the van der Waals destabilization of a non-wetting liquid film
placed on a solid substrate is studied by means of theory and numerical simulations of the Stokes
equations. Our analysis reveals that lubrication theory, which yields hmin / 1=5 where hmin is the
minimum film thickness and is the time until breakup, cannot be used to describe the local flow close to rupture. Instead, the slender lubrication solution is shown to experience a crossover to a
universal self-similar solution of the Stokes equations that yields hmin / 1=3, with an opening angle
of 37º off the solid.
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Bibliographic citation
Moreno-Boza, D., Martínez-Calvo, A., & Sevilla, A. (2020). Stokes theory of thin-film rupture. In Physical Review Fluids, 5(1), 1-14