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Theory for undercompressive shocks in tears of wine
Phys. Rev. Fluids 5, 034002 – Published 17 March, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.034002
Abstract
We revisit the tears of wine problem for thin films in water-ethanol mixtures and present a model for the climbing dynamics. The formulation includes a Marangoni stress balanced by both the normal and tangential components of gravity as well as surface tension which lead to distinctly different behavior. The prior literature did not address the wine tears but rather the behavior of the film at earlier stages and the behavior of the meniscus. In the lubrication limit we obtain an equation that is already well known for rising films in the presence of thermal gradients. Such models can exhibit nonclassical shocks that are undercompressive. We present basic theory that allows one to identify the signature of an undercompressive wave. We observe both compressive and undercompressive waves in new experiments, and we argue that, in the case of a preswirled glass, the famous “wine tears” emerge from a reverse undercompressive shock originating at the meniscus.
Physics Subject Headings (PhySH)
Synopsis
Why My Wine Glass Cries
An unstable shock wave causes the famous “tears” that form on a wine glass, according to a new model.
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