Free surface flows with large slopes: beyond lubrication theory

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dc.creatorSnoeijer, Jacco H.
dc.date2006-03-31
dc.date.accessioned2026-07-07T07:07:51Z
dc.date.available2026-07-07T07:07:51Z
dc.descriptionThe description of free surface flows can often be simplified to thin film (or lubrication) equations, when the slopes of the liquid-gas interface are small. Here we present a long wavelength theory that remains fully quantitative for steep interface slopes, by expanding about Stokes flow in a wedge. For small capillary numbers, the variations of the interface slope are slow and can be treated perturbatively. This geometry occurs naturally for flows with contact lines: we quantify the difference with ordinary lubrication theory through a numerical example and analytically recover the full Cox-Voinov asymptotic solution.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0603265
dc.identifierhttp://arxiv.org/abs/physics/0603265
dc.identifierPhys. Fluids 18, 021701 (2006)
dc.identifierdoi:10.1063/1.2171190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110546
dc.subjectFluid Dynamics
dc.titleFree surface flows with large slopes: beyond lubrication theory
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