Prof. Andrea Bertozzi, University of California
Title: Theory for Undercompressive Shocks in Tears of Wine
We consider the classical problem of ethanol-water mixtures in a social drinking situation. Evaporation leads to a depletion of alcohol at the meniscus resulting in a Marangoni stress that causes a film of liquid to rise up the side of the glass. This phenomenon has been documented scientifically since the 1800s and studied quantitatively over the past 30 years. However prior work did not analyze the most common occurrence of „wine tears“ in a prewet glass. I show that prewet surfaces can lead to an unusual mathematical structure comprised of a reverse undercompressive shock and a rarefaction wave. Along with this analysis I will review the theory of undercompressive shocks in driven films. I will show new experimental data illustrating this effect and compare it to prior work on thermally driven films that also can exhibit such behavior. I will attempt a live demonstration over zoom.
I encourage participants to bring their own beverage to the talk. I recommend at least 15% acohol by volume (room temperature liquid, no bubbles) and a glass container. A cover for the container and a flashlight will also be helpful.
reference: Yonatan Dukler, Hangjie Ji, Claudia Falcon, and Andrea L. Bertozzi, Theory for undercompressive shocks in tears of wine <https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.034002>, Phys. Rev. Fluids 5, 034002, 2020.
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Further information on the Research Training Group 2339, “ Interfaces, Complex Structures, and Singular Limits“ can be found at: