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

    Department of Mathematical Sciences, New Jersey Institute of Technology, New Jersey Institute of Technology

Authors

  • Anand Oza

    Department of Mathematical Sciences, New Jersey Institute of Technology, New Jersey Institute of Technology

  • Likhit Ganedi

    Department of Mathematical Sciences, Carnegie Mellon University

  • Michael John Shelley

    Flatiron Institute, Center for Computational Biology, Flatiron Institute, Courant Institute / Flatiron Institute, CCB, Flatiron Institute, New York University, New York University - Courant Institute, Flatiron Institute

  • Leif Ristroph

    Courant Institute, New York University - Courant Institute, Courant Institute of Mathematical Sciences, New York University