Equilibrium shapes and their stability for liquid films in fast flows

ORAL

Abstract

We present the results of a combined experimental and theoretical investigation of a suspended liquid film deformed by an external flow en route to forming a bubble. We identify a family of nonminimal but stable equilibrium shapes for flow speeds up to a critical value, beyond which the film inflates unstably. A model based on free-streamline theory accounts for the observed nonlinear deformations and forces. Our theoretical predictions suggest that bubble formation at low speeds results from the instability of overly-inflated shapes, and at high speeds from the loss of equilibrium solutions.

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Presenters

  • Anand Oza

    New Jersey Institute of Technology

Authors

  • Anand Oza

    New Jersey Institute of Technology

  • Likhit Ganedi

    Carnegie Mellon University

  • Michael J Shelley

    Center for Computational Biology, Flatiron Institute, Simons Foundation, New York 10010, Courant Institute, Simons Foundation, Center for Computational Biology, Flatiron Institute, Simons Foundation, Courant Institute of Mathematical Sciences, New York Universy, New York Univ NYU, Applied Mathematics Laboratory, Courant Institute, New York University, Flatiron Institute, Simons Foundation, New York Univ NYU & Flatiron Institute, New York Univ NYU, Flatiron Institute, New York University, Flatiron Institute , Courant Institute, NYU, Center for Computational Biology, Flatiron Institute, New York

  • Leif Ristroph

    New York University - Courant Institute, New York University