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.

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