A multiscale model for the slow viscoelastic response of liquid foams

Abstract

Using 2D numerical simulations as well as analytical modelling, we show how slow viscoelastic dynamics of aqueous foam are linked to coarsening induced intermittent bubble rearrangements. The macroscopic strain rate is expressed in terms of mesoscopic dynamics where local rearrangements are represented by strain fields induced by force dipoles. We relate these dipoles quantitatively to local geometrical features of the corresponding bubble rearrangements. We also explain how applying a small macroscopic stress biases the outcome of coarsening induced rearrangements.