Equilibrium Shapes and Their Stability for Liquid Films in Fast Flows

Physical Review Letters
Likhit GanediLeif Ristroph

Abstract

We study how a suspended liquid film is deformed by an external flow en route to forming a bubble through experiments and a model. We identify a family of nonminimal but stable equilibrium shapes for flow speeds up to a critical value beyond which the film inflates unstably, and the model accounts for the observed nonlinear deformations and forces. A saddle-node or fold bifurcation in the solution diagram suggests that bubble formation at high speeds results from the loss of equilibrium and at low speeds from the loss of stability for overly inflated shapes.

References

Oct 6, 2007·Journal of the American Chemical Society·Kei FunakoshiShoji Takeuchi
Nov 15, 2012·Proceedings of the National Academy of Sciences of the United States of America·Leif RistrophJun Zhang
May 21, 2014·Proceedings of the National Academy of Sciences of the United States of America·Raymond E GoldsteinAdriana I Pesci
Mar 5, 2016·Physical Review Letters·Louis SalkinLaurent Courbin

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